id	sid	tid	token	lemma	pos
ap-951	1	1	ap08_2.vp	ap08_2.vp	NOUN
ap-951	1	2	1	1	NUM
ap-951	1	3	introduction	introduction	NOUN
ap-951	1	4	some	some	DET
ap-951	1	5	interrelations	interrelation	NOUN
ap-951	1	6	between	between	ADP
ap-951	1	7	classical	classical	ADJ
ap-951	1	8	integrable	integrable	ADJ
ap-951	1	9	systems	system	NOUN
ap-951	1	10	and	and	CCONJ
ap-951	1	11	field	field	NOUN
ap-951	1	12	theories	theory	NOUN
ap-951	1	13	in	in	ADP
ap-951	1	14	dimensions	dimension	NOUN
ap-951	1	15	3	3	NUM
ap-951	1	16	and	and	CCONJ
ap-951	1	17	4	4	NUM
ap-951	1	18	were	be	AUX
ap-951	1	19	proposed	propose	VERB
ap-951	1	20	by	by	ADP
ap-951	1	21	n.	n.	PROPN
ap-951	1	22	hitchin	hitchin	PROPN
ap-951	1	23	twenty	twenty	NUM
ap-951	1	24	years	year	NOUN
ap-951	1	25	ago	ago	ADV
ap-951	1	26	[	[	X
ap-951	1	27	1	1	NUM
ap-951	1	28	,	,	PUNCT
ap-951	1	29	2	2	NUM
ap-951	1	30	]	]	PUNCT
ap-951	1	31	.	.	PUNCT
ap-951	2	1	this	this	DET
ap-951	2	2	approach	approach	NOUN
ap-951	2	3	to	to	ADP
ap-951	2	4	integrable	integrable	ADJ
ap-951	2	5	systems	system	NOUN
ap-951	2	6	has	have	VERB
ap-951	2	7	some	some	DET
ap-951	2	8	advantages	advantage	NOUN
ap-951	2	9	.	.	PUNCT
ap-951	3	1	it	it	PRON
ap-951	3	2	immediately	immediately	ADV
ap-951	3	3	leads	lead	VERB
ap-951	3	4	to	to	ADP
ap-951	3	5	the	the	DET
ap-951	3	6	lax	lax	ADJ
ap-951	3	7	representation	representation	NOUN
ap-951	3	8	with	with	ADP
ap-951	3	9	a	a	DET
ap-951	3	10	spectral	spectral	ADJ
ap-951	3	11	parameter	parameter	NOUN
ap-951	3	12	,	,	PUNCT
ap-951	3	13	to	to	PART
ap-951	3	14	prove	prove	VERB
ap-951	3	15	in	in	ADP
ap-951	3	16	some	some	DET
ap-951	3	17	cases	case	NOUN
ap-951	3	18	the	the	DET
ap-951	3	19	algebraic	algebraic	ADJ
ap-951	3	20	integrability	integrability	NOUN
ap-951	3	21	and	and	CCONJ
ap-951	3	22	to	to	PART
ap-951	3	23	find	find	VERB
ap-951	3	24	separated	separate	VERB
ap-951	3	25	variables	variable	NOUN
ap-951	3	26	[	[	X
ap-951	3	27	3	3	NUM
ap-951	3	28	,	,	PUNCT
ap-951	3	29	4	4	NUM
ap-951	3	30	]	]	PUNCT
ap-951	3	31	.	.	PUNCT
ap-951	4	1	it	it	PRON
ap-951	4	2	was	be	AUX
ap-951	4	3	found	find	VERB
ap-951	4	4	later	later	ADV
ap-951	4	5	that	that	SCONJ
ap-951	4	6	some	some	DET
ap-951	4	7	well	well	ADV
ap-951	4	8	-	-	PUNCT
ap-951	4	9	known	know	VERB
ap-951	4	10	integrable	integrable	ADJ
ap-951	4	11	systems	system	NOUN
ap-951	4	12	can	can	AUX
ap-951	4	13	be	be	AUX
ap-951	4	14	derived	derive	VERB
ap-951	4	15	in	in	ADP
ap-951	4	16	this	this	DET
ap-951	4	17	way	way	NOUN
ap-951	5	1	[	[	X
ap-951	5	2	5	5	NUM
ap-951	5	3	,	,	PUNCT
ap-951	5	4	6	6	NUM
ap-951	5	5	,	,	PUNCT
ap-951	5	6	7	7	NUM
ap-951	5	7	,	,	PUNCT
ap-951	5	8	8	8	NUM
ap-951	5	9	,	,	PUNCT
ap-951	5	10	9	9	NUM
ap-951	5	11	,	,	PUNCT
ap-951	5	12	10	10	NUM
ap-951	5	13	,	,	PUNCT
ap-951	5	14	11	11	NUM
ap-951	5	15	,	,	PUNCT
ap-951	5	16	12	12	NUM
ap-951	5	17	]	]	PUNCT
ap-951	5	18	.	.	PUNCT
ap-951	6	1	it	it	PRON
ap-951	6	2	was	be	AUX
ap-951	6	3	demonstrated	demonstrate	VERB
ap-951	6	4	in	in	ADP
ap-951	6	5	[	[	X
ap-951	6	6	13	13	NUM
ap-951	6	7	]	]	PUNCT
ap-951	6	8	that	that	SCONJ
ap-951	6	9	there	there	PRON
ap-951	6	10	exists	exist	VERB
ap-951	6	11	an	an	DET
ap-951	6	12	integrable	integrable	ADJ
ap-951	6	13	regime	regime	NOUN
ap-951	6	14	in	in	ADP
ap-951	6	15	�	�	PROPN
ap-951	6	16	�	�	PROPN
ap-951	6	17	2supersymmetric	2supersymmetric	PROPN
ap-951	6	18	yang	yang	PROPN
ap-951	6	19	-	-	PUNCT
ap-951	6	20	mills	mill	NOUN
ap-951	6	21	theory	theory	NOUN
ap-951	6	22	in	in	ADP
ap-951	6	23	four	four	NUM
ap-951	6	24	dimension	dimension	NOUN
ap-951	6	25	,	,	PUNCT
ap-951	6	26	which	which	PRON
ap-951	6	27	is	be	AUX
ap-951	6	28	described	describe	VERB
ap-951	6	29	by	by	ADP
ap-951	6	30	sieberg	sieberg	PROPN
ap-951	6	31	and	and	CCONJ
ap-951	6	32	witten	witten	VERB
ap-951	6	33	[	[	X
ap-951	6	34	14	14	NUM
ap-951	6	35	]	]	PUNCT
ap-951	6	36	.	.	PUNCT
ap-951	7	1	a	a	DET
ap-951	7	2	general	general	ADJ
ap-951	7	3	picture	picture	NOUN
ap-951	7	4	of	of	ADP
ap-951	7	5	the	the	DET
ap-951	7	6	interrelations	interrelation	NOUN
ap-951	7	7	between	between	ADP
ap-951	7	8	integrable	integrable	ADJ
ap-951	7	9	models	model	NOUN
ap-951	7	10	and	and	CCONJ
ap-951	7	11	gauge	gauge	NOUN
ap-951	7	12	theories	theory	NOUN
ap-951	7	13	in	in	ADP
ap-951	7	14	dimensions	dimension	NOUN
ap-951	7	15	4	4	NUM
ap-951	7	16	,	,	PUNCT
ap-951	7	17	5	5	NUM
ap-951	7	18	and	and	CCONJ
ap-951	7	19	6	6	NUM
ap-951	7	20	was	be	AUX
ap-951	7	21	presented	present	VERB
ap-951	7	22	in	in	ADP
ap-951	7	23	[	[	X
ap-951	7	24	15	15	NUM
ap-951	7	25	]	]	PUNCT
ap-951	7	26	.	.	PUNCT
ap-951	8	1	some	some	DET
ap-951	8	2	new	new	ADJ
ap-951	8	3	aspects	aspect	NOUN
ap-951	8	4	of	of	ADP
ap-951	8	5	the	the	DET
ap-951	8	6	interrelations	interrelation	NOUN
ap-951	8	7	between	between	ADP
ap-951	8	8	integrable	integrable	ADJ
ap-951	8	9	systems	system	NOUN
ap-951	8	10	and	and	CCONJ
ap-951	8	11	gauge	gauge	NOUN
ap-951	8	12	theories	theory	NOUN
ap-951	8	13	have	have	AUX
ap-951	8	14	recently	recently	ADV
ap-951	8	15	recently	recently	ADV
ap-951	8	16	been	be	AUX
ap-951	8	17	found	find	VERB
ap-951	8	18	in	in	ADP
ap-951	8	19	the	the	DET
ap-951	8	20	framework	framework	NOUN
ap-951	8	21	of	of	ADP
ap-951	8	22	four	four	NUM
ap-951	8	23	-	-	PUNCT
ap-951	8	24	dimensional	dimensional	ADJ
ap-951	8	25	reformulation	reformulation	NOUN
ap-951	8	26	of	of	ADP
ap-951	8	27	the	the	DET
ap-951	8	28	geometric	geometric	ADJ
ap-951	8	29	langlands	langland	NOUN
ap-951	8	30	program	program	NOUN
ap-951	8	31	[	[	X
ap-951	8	32	16	16	NUM
ap-951	8	33	,	,	PUNCT
ap-951	8	34	17	17	NUM
ap-951	8	35	,	,	PUNCT
ap-951	8	36	18	18	NUM
ap-951	8	37	]	]	PUNCT
ap-951	8	38	.	.	PUNCT
ap-951	9	1	these	these	DET
ap-951	9	2	lectures	lecture	NOUN
ap-951	9	3	take	take	VERB
ap-951	9	4	into	into	ADP
ap-951	9	5	account	account	NOUN
ap-951	9	6	this	this	DET
ap-951	9	7	approach	approach	NOUN
ap-951	9	8	,	,	PUNCT
ap-951	9	9	but	but	CCONJ
ap-951	9	10	they	they	PRON
ap-951	9	11	are	be	AUX
ap-951	9	12	also	also	ADV
ap-951	9	13	based	base	VERB
ap-951	9	14	on	on	ADP
ap-951	9	15	[	[	X
ap-951	9	16	1	1	NUM
ap-951	9	17	,	,	PUNCT
ap-951	9	18	2	2	NUM
ap-951	9	19	,	,	PUNCT
ap-951	9	20	11	11	NUM
ap-951	9	21	,	,	PUNCT
ap-951	9	22	12	12	NUM
ap-951	9	23	,	,	PUNCT
ap-951	9	24	19	19	NUM
ap-951	9	25	,	,	PUNCT
ap-951	9	26	20	20	NUM
ap-951	9	27	,	,	PUNCT
ap-951	9	28	21	21	NUM
ap-951	9	29	,	,	PUNCT
ap-951	9	30	22	22	NUM
ap-951	9	31	]	]	PUNCT
ap-951	9	32	.	.	PUNCT
ap-951	10	1	the	the	DET
ap-951	10	2	derivation	derivation	NOUN
ap-951	10	3	of	of	ADP
ap-951	10	4	integrable	integrable	ADJ
ap-951	10	5	systems	system	NOUN
ap-951	10	6	from	from	ADP
ap-951	10	7	field	field	NOUN
ap-951	10	8	theories	theory	NOUN
ap-951	10	9	is	be	AUX
ap-951	10	10	based	base	VERB
ap-951	10	11	on	on	ADP
ap-951	10	12	symplectic	symplectic	ADJ
ap-951	10	13	or	or	CCONJ
ap-951	10	14	poisson	poisson	NOUN
ap-951	10	15	reduction	reduction	NOUN
ap-951	10	16	.	.	PUNCT
ap-951	11	1	this	this	DET
ap-951	11	2	construction	construction	NOUN
ap-951	11	3	is	be	AUX
ap-951	11	4	familiar	familiar	ADJ
ap-951	11	5	in	in	ADP
ap-951	11	6	gauge	gauge	ADJ
ap-951	11	7	field	field	NOUN
ap-951	11	8	theories	theory	NOUN
ap-951	11	9	.	.	PUNCT
ap-951	12	1	the	the	DET
ap-951	12	2	physical	physical	ADJ
ap-951	12	3	degrees	degree	NOUN
ap-951	12	4	of	of	ADP
ap-951	12	5	freedom	freedom	NOUN
ap-951	12	6	in	in	ADP
ap-951	12	7	gauge	gauge	NOUN
ap-951	12	8	theories	theory	NOUN
ap-951	12	9	are	be	AUX
ap-951	12	10	defined	define	VERB
ap-951	12	11	upon	upon	SCONJ
ap-951	12	12	imposing	impose	VERB
ap-951	12	13	first	first	ADV
ap-951	12	14	and	and	CCONJ
ap-951	12	15	second	second	ADJ
ap-951	12	16	the	the	DET
ap-951	12	17	class	class	NOUN
ap-951	12	18	constraints	constraint	NOUN
ap-951	12	19	.	.	PUNCT
ap-951	13	1	first	first	ADJ
ap-951	13	2	class	class	NOUN
ap-951	13	3	constraints	constraint	NOUN
ap-951	13	4	are	be	AUX
ap-951	13	5	analogs	analog	NOUN
ap-951	13	6	of	of	ADP
ap-951	13	7	the	the	DET
ap-951	13	8	gauss	gauss	PROPN
ap-951	13	9	law	law	PROPN
ap-951	13	10	generating	generating	NOUN
ap-951	13	11	gauge	gauge	NOUN
ap-951	13	12	transformations	transformation	NOUN
ap-951	13	13	.	.	PUNCT
ap-951	14	1	a	a	DET
ap-951	14	2	combination	combination	NOUN
ap-951	14	3	of	of	ADP
ap-951	14	4	the	the	DET
ap-951	14	5	gauss	gauss	ADJ
ap-951	14	6	law	law	NOUN
ap-951	14	7	and	and	CCONJ
ap-951	14	8	constraints	constraint	NOUN
ap-951	14	9	coming	come	VERB
ap-951	14	10	from	from	ADP
ap-951	14	11	the	the	DET
ap-951	14	12	gauge	gauge	NOUN
ap-951	14	13	fixing	fix	VERB
ap-951	14	14	yields	yield	VERB
ap-951	14	15	second	second	ADJ
ap-951	14	16	class	class	NOUN
ap-951	14	17	constraints	constraint	NOUN
ap-951	14	18	.	.	PUNCT
ap-951	15	1	we	we	PRON
ap-951	15	2	start	start	VERB
ap-951	15	3	with	with	ADP
ap-951	15	4	gauge	gauge	NOUN
ap-951	15	5	theories	theory	NOUN
ap-951	15	6	that	that	PRON
ap-951	15	7	have	have	VERB
ap-951	15	8	some	some	DET
ap-951	15	9	important	important	ADJ
ap-951	15	10	properties	property	NOUN
ap-951	15	11	.	.	PUNCT
ap-951	16	1	first	first	ADV
ap-951	16	2	,	,	PUNCT
ap-951	16	3	they	they	PRON
ap-951	16	4	have	have	VERB
ap-951	16	5	at	at	ADV
ap-951	16	6	least	least	ADJ
ap-951	16	7	a	a	DET
ap-951	16	8	finite	finite	ADJ
ap-951	16	9	number	number	NOUN
ap-951	16	10	of	of	ADP
ap-951	16	11	independent	independent	ADJ
ap-951	16	12	conserved	conserved	ADJ
ap-951	16	13	quantities	quantity	NOUN
ap-951	16	14	.	.	PUNCT
ap-951	17	1	after	after	ADP
ap-951	17	2	reduction	reduction	NOUN
ap-951	17	3	they	they	PRON
ap-951	17	4	will	will	AUX
ap-951	17	5	play	play	VERB
ap-951	17	6	the	the	DET
ap-951	17	7	role	role	NOUN
ap-951	17	8	of	of	ADP
ap-951	17	9	integrals	integral	NOUN
ap-951	17	10	of	of	ADP
ap-951	17	11	motion	motion	NOUN
ap-951	17	12	.	.	PUNCT
ap-951	18	1	next	next	ADV
ap-951	18	2	,	,	PUNCT
ap-951	18	3	we	we	PRON
ap-951	18	4	assume	assume	VERB
ap-951	18	5	that	that	SCONJ
ap-951	18	6	after	after	ADP
ap-951	18	7	gauge	gauge	NOUN
ap-951	18	8	fixing	fix	VERB
ap-951	18	9	and	and	CCONJ
ap-951	18	10	solving	solve	VERB
ap-951	18	11	the	the	DET
ap-951	18	12	constraints	constraint	NOUN
ap-951	18	13	,	,	PUNCT
ap-951	18	14	the	the	DET
ap-951	18	15	reduced	reduce	VERB
ap-951	18	16	phase	phase	NOUN
ap-951	18	17	space	space	NOUN
ap-951	18	18	becomes	become	VERB
ap-951	18	19	a	a	DET
ap-951	18	20	finite	finite	ADJ
ap-951	18	21	-	-	ADJ
ap-951	18	22	dimensional	dimensional	ADJ
ap-951	18	23	manifold	manifold	NOUN
ap-951	18	24	and	and	CCONJ
ap-951	18	25	its	its	PRON
ap-951	18	26	dimension	dimension	NOUN
ap-951	18	27	is	be	AUX
ap-951	18	28	twice	twice	DET
ap-951	18	29	the	the	DET
ap-951	18	30	number	number	NOUN
ap-951	18	31	of	of	ADP
ap-951	18	32	integrals	integral	NOUN
ap-951	18	33	.	.	PUNCT
ap-951	19	1	this	this	DET
ap-951	19	2	property	property	NOUN
ap-951	19	3	provides	provide	VERB
ap-951	19	4	complete	complete	ADJ
ap-951	19	5	integrability	integrability	NOUN
ap-951	19	6	.	.	PUNCT
ap-951	20	1	it	it	PRON
ap-951	20	2	is	be	AUX
ap-951	20	3	,	,	PUNCT
ap-951	20	4	for	for	ADP
ap-951	20	5	example	example	NOUN
ap-951	20	6	,	,	PUNCT
ap-951	20	7	the	the	DET
ap-951	20	8	theory	theory	NOUN
ap-951	20	9	of	of	ADP
ap-951	20	10	higgs	higgs	NOUN
ap-951	20	11	bundles	bundle	NOUN
ap-951	20	12	describing	describe	VERB
ap-951	20	13	hitchin	hitchin	PROPN
ap-951	20	14	integrable	integrable	ADJ
ap-951	20	15	systems	system	NOUN
ap-951	20	16	[	[	X
ap-951	20	17	1	1	NUM
ap-951	20	18	]	]	PUNCT
ap-951	20	19	.	.	PUNCT
ap-951	21	1	this	this	DET
ap-951	21	2	theory	theory	NOUN
ap-951	21	3	corresponds	correspond	VERB
ap-951	21	4	to	to	ADP
ap-951	21	5	a	a	DET
ap-951	21	6	gauge	gauge	ADJ
ap-951	21	7	theory	theory	NOUN
ap-951	21	8	in	in	ADP
ap-951	21	9	three	three	NUM
ap-951	21	10	dimension	dimension	NOUN
ap-951	21	11	.	.	PUNCT
ap-951	22	1	on	on	ADP
ap-951	22	2	the	the	DET
ap-951	22	3	other	other	ADJ
ap-951	22	4	hand	hand	NOUN
ap-951	22	5	,	,	PUNCT
ap-951	22	6	a	a	DET
ap-951	22	7	similar	similar	ADJ
ap-951	22	8	type	type	NOUN
ap-951	22	9	of	of	ADP
ap-951	22	10	constraints	constraint	NOUN
ap-951	22	11	arises	arise	VERB
ap-951	22	12	in	in	ADP
ap-951	22	13	reducing	reduce	VERB
ap-951	22	14	the	the	DET
ap-951	22	15	self	self	NOUN
ap-951	22	16	-	-	PUNCT
ap-951	22	17	duality	duality	NOUN
ap-951	22	18	equations	equation	NOUN
ap-951	22	19	in	in	ADP
ap-951	22	20	four	four	NUM
ap-951	22	21	-	-	PUNCT
ap-951	22	22	dimensional	dimensional	ADJ
ap-951	22	23	yang	yang	PROPN
ap-951	22	24	-	-	PUNCT
ap-951	22	25	mills	mill	NOUN
ap-951	22	26	theory	theory	NOUN
ap-951	22	27	[	[	X
ap-951	22	28	1	1	NUM
ap-951	22	29	]	]	PUNCT
ap-951	22	30	,	,	PUNCT
ap-951	22	31	and	and	CCONJ
ap-951	22	32	in	in	ADP
ap-951	22	33	four	four	NUM
ap-951	22	34	-	-	PUNCT
ap-951	22	35	dimensional	dimensional	ADJ
ap-951	22	36	�	�	PROPN
ap-951	22	37	�	�	PROPN
ap-951	22	38	4	4	NUM
ap-951	22	39	supersymmetric	supersymmetric	PROPN
ap-951	22	40	yang	yang	PROPN
ap-951	22	41	-	-	PUNCT
ap-951	22	42	mills	mill	NOUN
ap-951	22	43	theory	theory	NOUN
ap-951	22	44	[	[	X
ap-951	22	45	16	16	NUM
ap-951	22	46	]	]	PUNCT
ap-951	22	47	after	after	ADP
ap-951	22	48	reducing	reduce	VERB
ap-951	22	49	them	they	PRON
ap-951	22	50	to	to	ADP
ap-951	22	51	a	a	DET
ap-951	22	52	space	space	NOUN
ap-951	22	53	of	of	ADP
ap-951	22	54	dimension	dimension	NOUN
ap-951	22	55	two	two	NUM
ap-951	22	56	.	.	PUNCT
ap-951	23	1	we	we	PRON
ap-951	23	2	also	also	ADV
ap-951	23	3	analyze	analyze	VERB
ap-951	23	4	the	the	DET
ap-951	23	5	problem	problem	NOUN
ap-951	23	6	of	of	ADP
ap-951	23	7	classifying	classify	VERB
ap-951	23	8	integrable	integrable	ADJ
ap-951	23	9	systems	system	NOUN
ap-951	23	10	.	.	PUNCT
ap-951	24	1	roughly	roughly	ADV
ap-951	24	2	speaking	speak	VERB
ap-951	24	3	two	two	NUM
ap-951	24	4	integrable	integrable	ADJ
ap-951	24	5	systems	system	NOUN
ap-951	24	6	are	be	AUX
ap-951	24	7	called	call	VERB
ap-951	24	8	equivalent	equivalent	ADJ
ap-951	24	9	,	,	PUNCT
ap-951	24	10	if	if	SCONJ
ap-951	24	11	the	the	DET
ap-951	24	12	original	original	ADJ
ap-951	24	13	field	field	NOUN
ap-951	24	14	theories	theory	NOUN
ap-951	24	15	are	be	AUX
ap-951	24	16	gauged	gauge	VERB
ap-951	24	17	equivalent	equivalent	ADJ
ap-951	24	18	.	.	PUNCT
ap-951	25	1	we	we	PRON
ap-951	25	2	extend	extend	VERB
ap-951	25	3	gauge	gauge	NOUN
ap-951	25	4	transformations	transformation	NOUN
ap-951	25	5	by	by	ADP
ap-951	25	6	allowing	allow	VERB
ap-951	25	7	singular	singular	ADJ
ap-951	25	8	gauge	gauge	NOUN
ap-951	25	9	transformations	transformation	NOUN
ap-951	25	10	of	of	ADP
ap-951	25	11	a	a	DET
ap-951	25	12	special	special	ADJ
ap-951	25	13	kind	kind	NOUN
ap-951	25	14	.	.	PUNCT
ap-951	26	1	on	on	ADP
ap-951	26	2	the	the	DET
ap-951	26	3	field	field	NOUN
ap-951	26	4	theory	theory	NOUN
ap-951	26	5	side	side	NOUN
ap-951	26	6	these	these	DET
ap-951	26	7	transformations	transformation	NOUN
ap-951	26	8	correspond	correspond	VERB
ap-951	26	9	to	to	ADP
ap-951	26	10	monopole	monopole	ADJ
ap-951	26	11	configurations	configuration	NOUN
ap-951	26	12	,	,	PUNCT
ap-951	26	13	or	or	CCONJ
ap-951	26	14	,	,	PUNCT
ap-951	26	15	equivalently	equivalently	ADV
ap-951	26	16	,	,	PUNCT
ap-951	26	17	the	the	DET
ap-951	26	18	inclusion	inclusion	NOUN
ap-951	26	19	of	of	ADP
ap-951	26	20	the	the	DET
ap-951	26	21	t’hooft	t’hooft	PROPN
ap-951	26	22	operators	operator	NOUN
ap-951	27	1	[	[	X
ap-951	27	2	23	23	NUM
ap-951	27	3	,	,	PUNCT
ap-951	27	4	24	24	NUM
ap-951	27	5	]	]	PUNCT
ap-951	27	6	.	.	PUNCT
ap-951	28	1	for	for	ADP
ap-951	28	2	some	some	DET
ap-951	28	3	particular	particular	ADJ
ap-951	28	4	examples	example	NOUN
ap-951	28	5	we	we	PRON
ap-951	28	6	establish	establish	VERB
ap-951	28	7	in	in	ADP
ap-951	28	8	this	this	DET
ap-951	28	9	way	way	NOUN
ap-951	28	10	an	an	DET
ap-951	28	11	equivalence	equivalence	NOUN
ap-951	28	12	of	of	ADP
ap-951	28	13	integrable	integrable	ADJ
ap-951	28	14	systems	system	NOUN
ap-951	28	15	of	of	ADP
ap-951	28	16	particles	particle	NOUN
ap-951	28	17	(	(	PUNCT
ap-951	28	18	calogero	calogero	PROPN
ap-951	28	19	-	-	PUNCT
ap-951	28	20	moser	moser	PROPN
ap-951	28	21	systems	systems	PROPN
ap-951	28	22	)	)	PUNCT
ap-951	28	23	and	and	CCONJ
ap-951	28	24	integrable	integrable	ADJ
ap-951	28	25	euler	euler	PROPN
ap-951	28	26	-	-	PUNCT
ap-951	28	27	arnold	arnold	PROPN
ap-951	28	28	tops	top	NOUN
ap-951	28	29	.	.	PUNCT
ap-951	29	1	it	it	PRON
ap-951	29	2	turns	turn	VERB
ap-951	29	3	out	out	ADP
ap-951	29	4	that	that	SCONJ
ap-951	29	5	this	this	DET
ap-951	29	6	equivalence	equivalence	NOUN
ap-951	29	7	is	be	AUX
ap-951	29	8	the	the	DET
ap-951	29	9	same	same	ADJ
ap-951	29	10	as	as	ADP
ap-951	29	11	equivalence	equivalence	NOUN
ap-951	29	12	of	of	ADP
ap-951	29	13	two	two	NUM
ap-951	29	14	types	type	NOUN
ap-951	29	15	of	of	ADP
ap-951	29	16	r	r	NOUN
ap-951	29	17	-	-	PUNCT
ap-951	29	18	matrices	matrix	NOUN
ap-951	29	19	of	of	ADP
ap-951	29	20	dynamical	dynamical	ADJ
ap-951	29	21	and	and	CCONJ
ap-951	29	22	vertex	vertex	NOUN
ap-951	29	23	type	type	NOUN
ap-951	30	1	[	[	X
ap-951	30	2	25	25	NUM
ap-951	30	3	,	,	PUNCT
ap-951	30	4	26	26	NUM
ap-951	30	5	]	]	PUNCT
ap-951	30	6	.	.	PUNCT
ap-951	31	1	before	before	ADP
ap-951	31	2	considering	consider	VERB
ap-951	31	3	concrete	concrete	ADJ
ap-951	31	4	cases	case	NOUN
ap-951	31	5	we	we	PRON
ap-951	31	6	point	point	VERB
ap-951	31	7	out	out	ADP
ap-951	31	8	the	the	DET
ap-951	31	9	main	main	ADJ
ap-951	31	10	definitions	definition	NOUN
ap-951	31	11	of	of	ADP
ap-951	31	12	completely	completely	ADV
ap-951	31	13	integrable	integrable	ADJ
ap-951	31	14	systems	system	NOUN
ap-951	31	15	[	[	X
ap-951	31	16	20	20	NUM
ap-951	31	17	,	,	PUNCT
ap-951	31	18	21	21	NUM
ap-951	31	19	,	,	PUNCT
ap-951	31	20	27	27	NUM
ap-951	31	21	]	]	PUNCT
ap-951	31	22	.	.	PUNCT
ap-951	32	1	2	2	NUM
ap-951	32	2	classical	classical	ADJ
ap-951	32	3	integrable	integrable	ADJ
ap-951	32	4	systems	system	NOUN
ap-951	32	5	consider	consider	VERB
ap-951	32	6	a	a	DET
ap-951	32	7	smooth	smooth	ADJ
ap-951	32	8	symplectic	symplectic	ADJ
ap-951	32	9	manifold	manifold	ADJ
ap-951	32	10	�	�	PROPN
ap-951	32	11	ofdim	ofdim	PROPN
ap-951	32	12	(	(	PUNCT
ap-951	32	13	)	)	PUNCT
ap-951	32	14	�	�	PROPN
ap-951	32	15	�	�	PROPN
ap-951	32	16	2l	2l	NUM
ap-951	32	17	.	.	PUNCT
ap-951	33	1	it	it	PRON
ap-951	33	2	means	mean	VERB
ap-951	33	3	that	that	SCONJ
ap-951	33	4	there	there	PRON
ap-951	33	5	exists	exist	VERB
ap-951	33	6	a	a	DET
ap-951	33	7	closed	closed	ADJ
ap-951	33	8	non	non	ADJ
ap-951	33	9	-	-	ADJ
ap-951	33	10	degenerate	degenerate	ADJ
ap-951	33	11	two	two	NUM
ap-951	33	12	-	-	PUNCT
ap-951	33	13	form	form	NOUN
ap-951	33	14	w	w	NOUN
ap-951	33	15	,	,	PUNCT
ap-951	33	16	and	and	CCONJ
ap-951	33	17	the	the	DET
ap-951	33	18	inverse	inverse	NOUN
ap-951	33	19	bivector	bivector	NOUN
ap-951	33	20	�	�	PROPN
ap-951	33	21	�	�	PROPN
ap-951	33	22	�	�	PROPN
ap-951	33	23	�	�	PROPN
ap-951	33	24	(	(	PUNCT
ap-951	33	25	)	)	PUNCT
ap-951	33	26	,	,	PUNCT
ap-951	33	27	a	a	DET
ap-951	33	28	b	b	PROPN
ap-951	33	29	bc	bc	PROPN
ap-951	33	30	a	a	DET
ap-951	33	31	c	c	PROPN
ap-951	33	32	�	�	PROPN
ap-951	33	33	,	,	PUNCT
ap-951	33	34	such	such	ADJ
ap-951	33	35	that	that	SCONJ
ap-951	33	36	the	the	DET
ap-951	33	37	space	space	NOUN
ap-951	33	38	c	c	PROPN
ap-951	33	39	�	�	PROPN
ap-951	33	40	(	(	PUNCT
ap-951	33	41	)	)	PUNCT
ap-951	33	42	�	�	PROPN
ap-951	33	43	becomes	become	VERB
ap-951	33	44	a	a	DET
ap-951	33	45	lie	lie	NOUN
ap-951	33	46	algebra	algebra	NOUN
ap-951	33	47	(	(	PUNCT
ap-951	33	48	poisson	poisson	PROPN
ap-951	33	49	algebra	algebra	PROPN
ap-951	33	50	)	)	PUNCT
ap-951	33	51	with	with	ADP
ap-951	33	52	respect	respect	NOUN
ap-951	33	53	to	to	ADP
ap-951	33	54	the	the	DET
ap-951	33	55	poisson	poisson	NOUN
ap-951	33	56	brackets	brackets	PROPN
ap-951	33	57	�	�	PROPN
ap-951	33	58	�	�	PROPN
ap-951	33	59	f	f	PROPN
ap-951	33	60	g	g	PROPN
ap-951	33	61	df	df	PROPN
ap-951	33	62	dg	dg	PROPN
ap-951	33	63	f	f	PROPN
ap-951	33	64	ga	ga	PROPN
ap-951	33	65	ab	ab	PROPN
ap-951	33	66	b	b	PROPN
ap-951	33	67	,	,	PUNCT
ap-951	33	68	�	�	PROPN
ap-951	33	69	�	�	PROPN
ap-951	33	70	�	�	PROPN
ap-951	33	71	�	�	PROPN
ap-951	33	72	�	�	PROPN
ap-951	33	73	�	�	PROPN
ap-951	33	74	.	.	PUNCT
ap-951	34	1	any	any	DET
ap-951	34	2	h	h	NOUN
ap-951	34	3	c	c	NOUN
ap-951	34	4	�	�	PROPN
ap-951	34	5	�	�	PROPN
ap-951	34	6	(	(	PUNCT
ap-951	34	7	)	)	PUNCT
ap-951	34	8	�	�	PROPN
ap-951	34	9	defines	define	VERB
ap-951	34	10	a	a	DET
ap-951	34	11	hamiltonian	hamiltonian	ADJ
ap-951	34	12	vector	vector	NOUN
ap-951	34	13	field	field	NOUN
ap-951	34	14	on	on	ADP
ap-951	34	15	�	�	PROPN
ap-951	34	16	�	�	PROPN
ap-951	34	17	�	�	PROPN
ap-951	34	18	h	h	PROPN
ap-951	35	1	dh	dh	NOUN
ap-951	35	2	h	h	INTJ
ap-951	35	3	ha	ha	INTJ
ap-951	35	4	ab	ab	PROPN
ap-951	35	5	b	b	PROPN
ap-951	35	6	�	�	PROPN
ap-951	35	7	�	�	PROPN
ap-951	35	8	�	�	PROPN
ap-951	35	9	�	�	PROPN
ap-951	35	10	�	�	PROPN
ap-951	35	11	�	�	PROPN
ap-951	35	12	�	�	PROPN
ap-951	35	13	,	,	PUNCT
ap-951	35	14	.	.	PUNCT
ap-951	36	1	a	a	DET
ap-951	36	2	hamiltonian	hamiltonian	ADJ
ap-951	36	3	system	system	NOUN
ap-951	36	4	is	be	AUX
ap-951	36	5	a	a	DET
ap-951	36	6	triple	triple	ADJ
ap-951	36	7	(	(	PUNCT
ap-951	36	8	,	,	PUNCT
ap-951	36	9	,	,	PUNCT
ap-951	36	10	)	)	PUNCT
ap-951	36	11	�	�	PROPN
ap-951	36	12	�	�	PROPN
ap-951	36	13	h	h	PROPN
ap-951	36	14	with	with	ADP
ap-951	36	15	the	the	DET
ap-951	36	16	hamiltonian	hamiltonian	ADJ
ap-951	36	17	flow	flow	NOUN
ap-951	36	18	�	�	PROPN
ap-951	36	19	�	�	PROPN
ap-951	36	20	�	�	PROPN
ap-951	36	21	�	�	PROPN
ap-951	36	22	�	�	PROPN
ap-951	36	23	�	�	PROPN
ap-951	36	24	t	t	PROPN
ap-951	36	25	a	a	DET
ap-951	36	26	a	a	PRON
ap-951	36	27	b	b	NOUN
ap-951	36	28	bax	bax	NOUN
ap-951	36	29	h	h	NOUN
ap-951	36	30	x	x	PROPN
ap-951	36	31	h	h	X
ap-951	36	32	�	�	PROPN
ap-951	36	33	�	�	PROPN
ap-951	36	34	,	,	PUNCT
ap-951	36	35	a	a	DET
ap-951	36	36	hamiltonian	hamiltonian	ADJ
ap-951	36	37	system	system	NOUN
ap-951	36	38	is	be	AUX
ap-951	36	39	called	call	VERB
ap-951	36	40	completely	completely	ADV
ap-951	36	41	integrable	integrable	ADJ
ap-951	36	42	,	,	PUNCT
ap-951	36	43	if	if	SCONJ
ap-951	36	44	it	it	PRON
ap-951	36	45	satisfies	satisfy	VERB
ap-951	36	46	the	the	DET
ap-951	36	47	following	follow	VERB
ap-951	36	48	conditions	condition	NOUN
ap-951	36	49	�	�	PROPN
ap-951	36	50	there	there	PRON
ap-951	36	51	exist	exist	VERB
ap-951	36	52	l	l	NOUN
ap-951	36	53	poisson	poisson	NOUN
ap-951	36	54	commuting	commute	VERB
ap-951	36	55	hamiltonians	hamiltonian	NOUN
ap-951	36	56	on	on	ADP
ap-951	36	57	�	�	PROPN
ap-951	36	58	(	(	PUNCT
ap-951	36	59	integrals	integral	NOUN
ap-951	36	60	of	of	ADP
ap-951	36	61	motion	motion	NOUN
ap-951	36	62	)	)	PUNCT
ap-951	36	63	i1	i1	PROPN
ap-951	36	64	,	,	PUNCT
ap-951	36	65	…	…	PUNCT
ap-951	36	66	,	,	PUNCT
ap-951	36	67	il	il	PROPN
ap-951	36	68	.	.	PROPN
ap-951	36	69	�	�	PROPN
ap-951	36	70	since	since	SCONJ
ap-951	36	71	the	the	DET
ap-951	36	72	integrals	integral	NOUN
ap-951	36	73	commute	commute	VERB
ap-951	36	74	the	the	DET
ap-951	36	75	set	set	NOUN
ap-951	36	76	�	�	PROPN
ap-951	36	77	t	t	NOUN
ap-951	36	78	i	i	PRON
ap-951	36	79	cc	cc	PROPN
ap-951	36	80	j	j	PROPN
ap-951	36	81	j	j	PROPN
ap-951	36	82	�	�	PROPN
ap-951	36	83	�	�	PROPN
ap-951	36	84	{	{	PUNCT
ap-951	36	85	}	}	PUNCT
ap-951	36	86	is	be	AUX
ap-951	36	87	invariant	invariant	ADJ
ap-951	36	88	with	with	ADP
ap-951	36	89	respect	respect	NOUN
ap-951	36	90	to	to	ADP
ap-951	36	91	the	the	DET
ap-951	36	92	hamiltonian	hamiltonian	NOUN
ap-951	36	93	flows	flow	VERB
ap-951	36	94	�	�	PROPN
ap-951	36	95	�	�	PROPN
ap-951	36	96	i	i	PRON
ap-951	36	97	j	j	PROPN
ap-951	36	98	,	,	PUNCT
ap-951	36	99	.	.	PUNCT
ap-951	37	1	then	then	ADV
ap-951	37	2	being	be	AUX
ap-951	37	3	restricted	restrict	VERB
ap-951	37	4	on	on	ADP
ap-951	37	5	tc	tc	NUM
ap-951	37	6	,	,	PUNCT
ap-951	37	7	ij(x	ij(x	NUM
ap-951	37	8	)	)	PUNCT
ap-951	37	9	are	be	AUX
ap-951	37	10	functionally	functionally	ADV
ap-951	37	11	independent	independent	ADJ
ap-951	37	12	for	for	ADP
ap-951	37	13	almost	almost	ADV
ap-951	37	14	all	all	PRON
ap-951	37	15	x	x	SYM
ap-951	37	16	tc	tc	PRON
ap-951	37	17	�	�	PROPN
ap-951	37	18	,	,	PUNCT
ap-951	37	19	i.e.	i.e.	X
ap-951	37	20	det	det	X
ap-951	37	21	(	(	PUNCT
ap-951	37	22	)	)	PUNCT
ap-951	37	23	(	(	PUNCT
ap-951	37	24	)	)	PUNCT
ap-951	37	25	�	�	PROPN
ap-951	37	26	a	a	DET
ap-951	37	27	bi	bi	NOUN
ap-951	37	28	x	x	NOUN
ap-951	37	29	0	0	PROPN
ap-951	37	30	.	.	PUNCT
ap-951	38	1	©	©	PROPN
ap-951	38	2	czech	czech	PROPN
ap-951	38	3	technical	technical	PROPN
ap-951	38	4	university	university	PROPN
ap-951	38	5	publishing	publishing	NOUN
ap-951	38	6	house	house	NOUN
ap-951	38	7	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-951	38	8	5	5	NUM
ap-951	38	9	acta	acta	PROPN
ap-951	38	10	polytechnica	polytechnica	PROPN
ap-951	38	11	vol	vol	NOUN
ap-951	38	12	.	.	PUNCT
ap-951	39	1	48	48	NUM
ap-951	39	2	no	no	NOUN
ap-951	39	3	.	.	PUNCT
ap-951	40	1	2/2008	2/2008	NOUN
ap-951	40	2	lectures	lecture	NOUN
ap-951	40	3	on	on	ADP
ap-951	40	4	classical	classical	ADJ
ap-951	40	5	integrable	integrable	ADJ
ap-951	40	6	systems	system	NOUN
ap-951	40	7	and	and	CCONJ
ap-951	40	8	gauge	gauge	NOUN
ap-951	40	9	field	field	NOUN
ap-951	40	10	theories	theory	NOUN
ap-951	40	11	m.	m.	NOUN
ap-951	40	12	olshanetsky	olshanetsky	NOUN
ap-951	40	13	in	in	ADP
ap-951	40	14	these	these	DET
ap-951	40	15	lectures	lecture	NOUN
ap-951	40	16	we	we	PRON
ap-951	40	17	consider	consider	VERB
ap-951	40	18	hitchin	hitchin	PROPN
ap-951	40	19	integrable	integrable	ADJ
ap-951	40	20	systems	system	NOUN
ap-951	40	21	and	and	CCONJ
ap-951	40	22	their	their	PRON
ap-951	40	23	relations	relation	NOUN
ap-951	40	24	with	with	ADP
ap-951	40	25	the	the	DET
ap-951	40	26	self	self	NOUN
ap-951	40	27	-	-	PUNCT
ap-951	40	28	duality	duality	NOUN
ap-951	40	29	equations	equation	NOUN
ap-951	40	30	and	and	CCONJ
ap-951	40	31	twisted	twisted	ADJ
ap-951	40	32	super	super	ADJ
ap-951	40	33	-	-	ADJ
ap-951	40	34	symmetric	symmetric	ADJ
ap-951	40	35	yang	yang	PROPN
ap-951	40	36	-	-	PUNCT
ap-951	40	37	mills	mill	NOUN
ap-951	40	38	theory	theory	NOUN
ap-951	40	39	in	in	ADP
ap-951	40	40	four	four	NUM
ap-951	40	41	dimension	dimension	NOUN
ap-951	40	42	.	.	PUNCT
ap-951	41	1	we	we	PRON
ap-951	41	2	define	define	VERB
ap-951	41	3	the	the	DET
ap-951	41	4	symplectic	symplectic	ADJ
ap-951	41	5	hecke	hecke	NOUN
ap-951	41	6	correspondence	correspondence	NOUN
ap-951	41	7	between	between	ADP
ap-951	41	8	different	different	ADJ
ap-951	41	9	integrable	integrable	ADJ
ap-951	41	10	systems	system	NOUN
ap-951	41	11	.	.	PUNCT
ap-951	42	1	as	as	ADP
ap-951	42	2	an	an	DET
ap-951	42	3	example	example	NOUN
ap-951	42	4	we	we	PRON
ap-951	42	5	consider	consider	VERB
ap-951	42	6	elliptic	elliptic	ADJ
ap-951	42	7	calogero	calogero	PROPN
ap-951	42	8	-	-	PUNCT
ap-951	42	9	moser	moser	PROPN
ap-951	42	10	system	system	NOUN
ap-951	42	11	and	and	CCONJ
ap-951	42	12	integrable	integrable	ADJ
ap-951	42	13	euler	euler	PROPN
ap-951	42	14	-	-	PUNCT
ap-951	42	15	arnold	arnold	PROPN
ap-951	42	16	top	top	NOUN
ap-951	42	17	on	on	ADP
ap-951	42	18	coadjoint	coadjoint	NOUN
ap-951	42	19	orbits	orbit	NOUN
ap-951	42	20	of	of	ADP
ap-951	42	21	the	the	DET
ap-951	42	22	group	group	NOUN
ap-951	42	23	gl(n	gl(n	PROPN
ap-951	42	24	,	,	PUNCT
ap-951	42	25	�	�	PROPN
ap-951	42	26	)	)	PUNCT
ap-951	42	27	and	and	CCONJ
ap-951	42	28	explain	explain	VERB
ap-951	42	29	the	the	DET
ap-951	42	30	symplectic	symplectic	ADJ
ap-951	42	31	hecke	hecke	PROPN
ap-951	42	32	correspondence	correspondence	NOUN
ap-951	42	33	for	for	ADP
ap-951	42	34	these	these	DET
ap-951	42	35	systems	system	NOUN
ap-951	42	36	.	.	PUNCT
ap-951	43	1	keywords	keyword	NOUN
ap-951	43	2	:	:	PUNCT
ap-951	43	3	integrable	integrable	ADJ
ap-951	43	4	systems	system	NOUN
ap-951	43	5	,	,	PUNCT
ap-951	43	6	gauge	gauge	NOUN
ap-951	43	7	theories	theory	NOUN
ap-951	43	8	,	,	PUNCT
ap-951	43	9	monopoles	monopole	NOUN
ap-951	43	10	.	.	PUNCT
ap-951	44	1	in	in	ADP
ap-951	44	2	this	this	DET
ap-951	44	3	way	way	NOUN
ap-951	44	4	we	we	PRON
ap-951	44	5	come	come	VERB
ap-951	44	6	to	to	ADP
ap-951	44	7	the	the	DET
ap-951	44	8	hierarchy	hierarchy	NOUN
ap-951	44	9	of	of	ADP
ap-951	44	10	commuting	commute	VERB
ap-951	44	11	flows	flow	NOUN
ap-951	44	12	on	on	ADP
ap-951	44	13	�	�	PROPN
ap-951	44	14	�	�	PROPN
ap-951	44	15	�	�	PROPN
ap-951	44	16	�	�	PROPN
ap-951	44	17	t	t	PROPN
ap-951	44	18	jj	jj	PROPN
ap-951	44	19	ix	ix	PROPN
ap-951	44	20	x	x	PROPN
ap-951	44	21	x	x	X
ap-951	44	22	�	�	PROPN
ap-951	44	23	(	(	PUNCT
ap-951	44	24	)	)	PUNCT
ap-951	44	25	,	,	PUNCT
ap-951	44	26	.	.	PUNCT
ap-951	45	1	(	(	PUNCT
ap-951	45	2	2.1	2.1	NUM
ap-951	45	3	)	)	PUNCT
ap-951	45	4	tc	tc	PRON
ap-951	45	5	�	�	PROPN
ap-951	45	6	is	be	AUX
ap-951	45	7	a	a	DET
ap-951	45	8	submanifold	submanifold	NOUN
ap-951	45	9	tc	tc	PROPN
ap-951	45	10	�	�	PROPN
ap-951	45	11	�	�	PROPN
ap-951	45	12	.	.	PUNCT
ap-951	46	1	it	it	PRON
ap-951	46	2	is	be	AUX
ap-951	46	3	is	be	AUX
ap-951	46	4	a	a	DET
ap-951	46	5	lagrangian	lagrangian	ADJ
ap-951	46	6	submanifold	submanifold	NOUN
ap-951	46	7	,	,	PUNCT
ap-951	46	8	i.e.	i.e.	X
ap-951	46	9	�	�	PROPN
ap-951	46	10	vanishes	vanish	VERB
ap-951	46	11	on	on	ADP
ap-951	46	12	tc	tc	NOUN
ap-951	46	13	.	.	PUNCT
ap-951	47	1	if	if	SCONJ
ap-951	47	2	tc	tc	NOUN
ap-951	47	3	is	be	AUX
ap-951	47	4	compact	compact	ADJ
ap-951	47	5	and	and	CCONJ
ap-951	47	6	connected	connect	VERB
ap-951	47	7	,	,	PUNCT
ap-951	47	8	then	then	ADV
ap-951	47	9	it	it	PRON
ap-951	47	10	is	be	AUX
ap-951	47	11	diffeomorphic	diffeomorphic	ADJ
ap-951	47	12	to	to	ADP
ap-951	47	13	an	an	DET
ap-951	47	14	l	l	ADV
ap-951	47	15	-	-	ADJ
ap-951	47	16	dimensional	dimensional	ADJ
ap-951	47	17	torus	torus	NOUN
ap-951	47	18	.	.	PUNCT
ap-951	48	1	torus	torus	PROPN
ap-951	48	2	tc	tc	PROPN
ap-951	48	3	is	be	AUX
ap-951	48	4	called	call	VERB
ap-951	48	5	the	the	DET
ap-951	48	6	liouville	liouville	NOUN
ap-951	48	7	torus	torus	NOUN
ap-951	48	8	.	.	PUNCT
ap-951	49	1	in	in	ADP
ap-951	49	2	a	a	DET
ap-951	49	3	neighborhood	neighborhood	NOUN
ap-951	49	4	of	of	ADP
ap-951	49	5	tc	tc	NOUN
ap-951	49	6	there	there	PRON
ap-951	49	7	is	be	VERB
ap-951	49	8	a	a	DET
ap-951	49	9	projection	projection	NOUN
ap-951	49	10	p	p	ADJ
ap-951	49	11	b	b	PROPN
ap-951	49	12	:	:	PUNCT
ap-951	49	13	�	�	PROPN
ap-951	49	14	�	�	PROPN
ap-951	49	15	,	,	PUNCT
ap-951	49	16	(	(	PUNCT
ap-951	49	17	2.2	2.2	NUM
ap-951	49	18	)	)	PUNCT
ap-951	49	19	where	where	SCONJ
ap-951	49	20	the	the	DET
ap-951	49	21	liouville	liouville	PROPN
ap-951	49	22	tori	tori	NOUN
ap-951	49	23	are	be	AUX
ap-951	49	24	generic	generic	ADJ
ap-951	49	25	fibers	fiber	NOUN
ap-951	49	26	and	and	CCONJ
ap-951	49	27	the	the	DET
ap-951	49	28	base	base	NOUN
ap-951	49	29	of	of	ADP
ap-951	49	30	fibration	fibration	PROPN
ap-951	49	31	b	b	PROPN
ap-951	49	32	is	be	AUX
ap-951	49	33	parameterized	parameterize	VERB
ap-951	49	34	by	by	ADP
ap-951	49	35	the	the	DET
ap-951	49	36	values	value	NOUN
ap-951	49	37	of	of	ADP
ap-951	49	38	the	the	DET
ap-951	49	39	integrals	integral	NOUN
ap-951	49	40	.	.	PUNCT
ap-951	50	1	the	the	DET
ap-951	50	2	coordinates	coordinate	NOUN
ap-951	50	3	on	on	ADP
ap-951	50	4	a	a	DET
ap-951	50	5	liouville	liouville	NOUN
ap-951	50	6	torus	torus	NOUN
ap-951	50	7	(	(	PUNCT
ap-951	50	8	“	"	PUNCT
ap-951	50	9	the	the	DET
ap-951	50	10	angle	angle	NOUN
ap-951	50	11	”	"	PUNCT
ap-951	50	12	variables	variable	NOUN
ap-951	50	13	)	)	PUNCT
ap-951	50	14	along	along	ADP
ap-951	50	15	with	with	ADP
ap-951	50	16	dual	dual	ADJ
ap-951	50	17	variables	variable	NOUN
ap-951	50	18	on	on	ADP
ap-951	50	19	b	b	X
ap-951	50	20	(	(	PUNCT
ap-951	50	21	“	"	PUNCT
ap-951	50	22	the	the	DET
ap-951	50	23	action	action	NOUN
ap-951	50	24	”	"	PUNCT
ap-951	50	25	variables	variable	NOUN
ap-951	50	26	)	)	PUNCT
ap-951	50	27	describe	describe	VERB
ap-951	50	28	a	a	DET
ap-951	50	29	linearized	linearize	VERB
ap-951	50	30	motion	motion	NOUN
ap-951	50	31	on	on	ADP
ap-951	50	32	the	the	DET
ap-951	50	33	torus	torus	NOUN
ap-951	50	34	.	.	PUNCT
ap-951	51	1	globally	globally	ADV
ap-951	51	2	,	,	PUNCT
ap-951	51	3	the	the	DET
ap-951	51	4	picture	picture	NOUN
ap-951	51	5	can	can	AUX
ap-951	51	6	be	be	AUX
ap-951	51	7	more	more	ADV
ap-951	51	8	complicated	complicated	ADJ
ap-951	51	9	.	.	PUNCT
ap-951	52	1	for	for	ADP
ap-951	52	2	some	some	DET
ap-951	52	3	values	value	NOUN
ap-951	52	4	of	of	ADP
ap-951	52	5	cj	cj	PROPN
ap-951	52	6	tc	tc	PROPN
ap-951	52	7	ceases	cease	VERB
ap-951	52	8	to	to	PART
ap-951	52	9	be	be	AUX
ap-951	52	10	a	a	DET
ap-951	52	11	submanifold	submanifold	NOUN
ap-951	52	12	.	.	PUNCT
ap-951	53	1	in	in	ADP
ap-951	53	2	this	this	DET
ap-951	53	3	way	way	NOUN
ap-951	53	4	the	the	DET
ap-951	53	5	action	action	NOUN
ap-951	53	6	-	-	PUNCT
ap-951	53	7	angle	angle	NOUN
ap-951	53	8	variables	variable	NOUN
ap-951	53	9	are	be	AUX
ap-951	53	10	local	local	ADJ
ap-951	53	11	.	.	PUNCT
ap-951	54	1	here	here	ADV
ap-951	54	2	we	we	PRON
ap-951	54	3	consider	consider	VERB
ap-951	54	4	a	a	DET
ap-951	54	5	complex	complex	ADJ
ap-951	54	6	analog	analog	NOUN
ap-951	54	7	of	of	ADP
ap-951	54	8	this	this	DET
ap-951	54	9	picture	picture	NOUN
ap-951	54	10	.	.	PUNCT
ap-951	55	1	we	we	PRON
ap-951	55	2	assume	assume	VERB
ap-951	55	3	that	that	SCONJ
ap-951	55	4	�	�	PROPN
ap-951	55	5	is	be	AUX
ap-951	55	6	a	a	DET
ap-951	55	7	complex	complex	ADJ
ap-951	55	8	algebraic	algebraic	ADJ
ap-951	55	9	manifold	manifold	NOUN
ap-951	55	10	and	and	CCONJ
ap-951	55	11	the	the	DET
ap-951	55	12	symplectic	symplectic	ADJ
ap-951	55	13	form	form	NOUN
ap-951	55	14	�	�	PROPN
ap-951	55	15	is	be	AUX
ap-951	55	16	a	a	DET
ap-951	55	17	(	(	PUNCT
ap-951	55	18	2,0	2,0	NUM
ap-951	55	19	)	)	PUNCT
ap-951	55	20	form	form	NOUN
ap-951	55	21	,	,	PUNCT
ap-951	55	22	i.e.	i.e.	X
ap-951	55	23	locally	locally	ADV
ap-951	55	24	in	in	ADP
ap-951	55	25	the	the	DET
ap-951	55	26	coordinates	coordinate	NOUN
ap-951	55	27	(	(	PUNCT
ap-951	55	28	,	,	PUNCT
ap-951	55	29	,	,	PUNCT
ap-951	55	30	,	,	PUNCT
ap-951	55	31	,	,	PUNCT
ap-951	55	32	)	)	PUNCT
ap-951	55	33	z	z	NOUN
ap-951	55	34	z	z	NOUN
ap-951	55	35	z	z	PUNCT
ap-951	55	36	zl	zl	PROPN
ap-951	55	37	l1	l1	PROPN
ap-951	55	38	1	1	NUM
ap-951	55	39	�	�	PROPN
ap-951	55	40	the	the	DET
ap-951	55	41	form	form	NOUN
ap-951	55	42	is	be	AUX
ap-951	55	43	represented	represent	VERB
ap-951	55	44	as	as	SCONJ
ap-951	55	45	�	�	PROPN
ap-951	55	46	�	�	PROPN
ap-951	55	47	�	�	PROPN
ap-951	55	48	�	�	PROPN
ap-951	55	49	a	a	DET
ap-951	55	50	b	b	NOUN
ap-951	55	51	a	a	DET
ap-951	55	52	bdz	bdz	NOUN
ap-951	55	53	dz	dz	PROPN
ap-951	55	54	,	,	PUNCT
ap-951	55	55	.	.	PUNCT
ap-951	56	1	general	general	ADJ
ap-951	56	2	fibers	fiber	NOUN
ap-951	56	3	of	of	ADP
ap-951	56	4	(	(	PUNCT
ap-951	56	5	2.2	2.2	NUM
ap-951	56	6	)	)	PUNCT
ap-951	56	7	are	be	AUX
ap-951	56	8	abelian	abelian	ADJ
ap-951	56	9	subvarieties	subvarietie	NOUN
ap-951	56	10	of	of	ADP
ap-951	56	11	�	�	PROPN
ap-951	56	12	,	,	PUNCT
ap-951	56	13	i.e.	i.e.	X
ap-951	56	14	they	they	PRON
ap-951	56	15	are	be	AUX
ap-951	56	16	complex	complex	ADJ
ap-951	56	17	tori	tori	PROPN
ap-951	56	18	�	�	PROPN
ap-951	56	19	l	l	PROPN
ap-951	56	20	�	�	PROPN
ap-951	56	21	,	,	PUNCT
ap-951	56	22	where	where	SCONJ
ap-951	56	23	the	the	DET
ap-951	56	24	lattice	lattice	PROPN
ap-951	56	25	�	�	PROPN
ap-951	56	26	satisfies	satisfy	VERB
ap-951	56	27	the	the	DET
ap-951	56	28	riemann	riemann	PROPN
ap-951	56	29	conditions	condition	NOUN
ap-951	56	30	.	.	PUNCT
ap-951	57	1	integrable	integrable	ADJ
ap-951	57	2	systems	system	NOUN
ap-951	57	3	in	in	ADP
ap-951	57	4	this	this	DET
ap-951	57	5	situation	situation	NOUN
ap-951	57	6	are	be	AUX
ap-951	57	7	called	call	VERB
ap-951	57	8	algebraically	algebraically	ADV
ap-951	57	9	integrable	integrable	ADJ
ap-951	57	10	systems	system	NOUN
ap-951	57	11	.	.	PUNCT
ap-951	58	1	let	let	VERB
ap-951	58	2	two	two	NUM
ap-951	58	3	integrable	integrable	ADJ
ap-951	58	4	systems	system	NOUN
ap-951	58	5	be	be	AUX
ap-951	58	6	described	describe	VERB
ap-951	58	7	by	by	ADP
ap-951	58	8	two	two	NUM
ap-951	58	9	isomorphic	isomorphic	ADJ
ap-951	58	10	sets	set	NOUN
ap-951	58	11	of	of	ADP
ap-951	58	12	the	the	DET
ap-951	58	13	action	action	NOUN
ap-951	58	14	-	-	PUNCT
ap-951	58	15	angle	angle	NOUN
ap-951	58	16	variables	variable	NOUN
ap-951	58	17	.	.	PUNCT
ap-951	59	1	in	in	ADP
ap-951	59	2	this	this	DET
ap-951	59	3	case	case	NOUN
ap-951	59	4	the	the	DET
ap-951	59	5	integrable	integrable	ADJ
ap-951	59	6	systems	system	NOUN
ap-951	59	7	can	can	AUX
ap-951	59	8	be	be	AUX
ap-951	59	9	considered	consider	VERB
ap-951	59	10	as	as	ADP
ap-951	59	11	equivalent	equivalent	ADJ
ap-951	59	12	.	.	PUNCT
ap-951	60	1	establishing	establish	VERB
ap-951	60	2	equivalence	equivalence	NOUN
ap-951	60	3	in	in	ADP
ap-951	60	4	terms	term	NOUN
ap-951	60	5	of	of	ADP
ap-951	60	6	angle	angle	NOUN
ap-951	60	7	-	-	PUNCT
ap-951	60	8	action	action	NOUN
ap-951	60	9	variables	variable	NOUN
ap-951	60	10	is	be	AUX
ap-951	60	11	troublesome	troublesome	ADJ
ap-951	60	12	.	.	PUNCT
ap-951	61	1	there	there	PRON
ap-951	61	2	is	be	VERB
ap-951	61	3	a	a	DET
ap-951	61	4	more	more	ADV
ap-951	61	5	direct	direct	ADJ
ap-951	61	6	way	way	NOUN
ap-951	61	7	based	base	VERB
ap-951	61	8	on	on	ADP
ap-951	61	9	lax	lax	ADJ
ap-951	61	10	representation	representation	NOUN
ap-951	61	11	.	.	PUNCT
ap-951	62	1	lax	lax	ADJ
ap-951	62	2	representation	representation	NOUN
ap-951	62	3	is	be	AUX
ap-951	62	4	one	one	NUM
ap-951	62	5	of	of	ADP
ap-951	62	6	the	the	DET
ap-951	62	7	commonly	commonly	ADV
ap-951	62	8	accepted	accept	VERB
ap-951	62	9	methods	method	NOUN
ap-951	62	10	for	for	ADP
ap-951	62	11	constructing	construct	VERB
ap-951	62	12	and	and	CCONJ
ap-951	62	13	investigating	investigate	VERB
ap-951	62	14	integrable	integrable	ADJ
ap-951	62	15	systems	system	NOUN
ap-951	62	16	.	.	PUNCT
ap-951	63	1	let	let	VERB
ap-951	63	2	l	l	NOUN
ap-951	63	3	x	x	X
ap-951	63	4	z	z	ADJ
ap-951	63	5	(	(	PUNCT
ap-951	63	6	,	,	PUNCT
ap-951	63	7	)	)	PUNCT
ap-951	63	8	,	,	PUNCT
ap-951	63	9	m	m	VERB
ap-951	63	10	x	x	X
ap-951	63	11	z	z	VERB
ap-951	63	12	m	m	VERB
ap-951	63	13	x	x	SYM
ap-951	63	14	zl1	zl1	PROPN
ap-951	63	15	(	(	PUNCT
ap-951	63	16	,	,	PUNCT
ap-951	63	17	)	)	PUNCT
ap-951	63	18	,	,	PUNCT
ap-951	63	19	,	,	PUNCT
ap-951	63	20	(	(	PUNCT
ap-951	63	21	,	,	PUNCT
ap-951	63	22	)	)	PUNCT
ap-951	63	23	�	�	PROPN
ap-951	63	24	be	be	AUX
ap-951	63	25	a	a	DET
ap-951	63	26	set	set	NOUN
ap-951	63	27	of	of	ADP
ap-951	63	28	l	l	NOUN
ap-951	63	29	1	1	NUM
ap-951	63	30	matrices	matrix	NOUN
ap-951	63	31	depending	depend	VERB
ap-951	63	32	on	on	ADP
ap-951	63	33	x	x	NOUN
ap-951	63	34	�	�	NOUN
ap-951	63	35	�	�	PROPN
ap-951	63	36	with	with	ADP
ap-951	63	37	a	a	DET
ap-951	63	38	meromorphic	meromorphic	ADJ
ap-951	63	39	dependence	dependence	NOUN
ap-951	63	40	on	on	ADP
ap-951	63	41	the	the	DET
ap-951	63	42	spectral	spectral	ADJ
ap-951	63	43	parameter	parameter	PROPN
ap-951	63	44	z	z	PROPN
ap-951	63	45	�	�	PROPN
ap-951	63	46	�	�	PROPN
ap-951	63	47	,	,	PUNCT
ap-951	63	48	where	where	SCONJ
ap-951	63	49	�	�	PROPN
ap-951	63	50	is	be	AUX
ap-951	63	51	a	a	DET
ap-951	63	52	riemann	riemann	PROPN
ap-951	63	53	surface	surface	NOUN
ap-951	63	54	.	.	PUNCT
ap-951	64	1	(	(	PUNCT
ap-951	64	2	it	it	PRON
ap-951	64	3	will	will	AUX
ap-951	64	4	be	be	AUX
ap-951	64	5	explained	explain	VERB
ap-951	64	6	below	below	ADP
ap-951	64	7	that	that	DET
ap-951	64	8	l	l	NOUN
ap-951	64	9	and	and	CCONJ
ap-951	64	10	m	m	PROPN
ap-951	64	11	are	be	AUX
ap-951	64	12	sections	section	NOUN
ap-951	64	13	of	of	ADP
ap-951	64	14	some	some	DET
ap-951	64	15	vector	vector	NOUN
ap-951	64	16	bundles	bundle	NOUN
ap-951	64	17	over	over	ADP
ap-951	64	18	�	�	PROPN
ap-951	64	19	.	.	PUNCT
ap-951	64	20	)	)	PUNCT
ap-951	65	1	this	this	PRON
ap-951	65	2	is	be	AUX
ap-951	65	3	called	call	VERB
ap-951	65	4	a	a	DET
ap-951	65	5	basic	basic	ADJ
ap-951	65	6	spectral	spectral	ADJ
ap-951	65	7	curve	curve	NOUN
ap-951	65	8	.	.	PUNCT
ap-951	66	1	assume	assume	VERB
ap-951	66	2	that	that	SCONJ
ap-951	66	3	the	the	DET
ap-951	66	4	commuting	commuting	NOUN
ap-951	66	5	flows	flow	NOUN
ap-951	66	6	(	(	PUNCT
ap-951	66	7	2.1	2.1	NUM
ap-951	66	8	)	)	PUNCT
ap-951	66	9	can	can	AUX
ap-951	66	10	be	be	AUX
ap-951	66	11	rewritten	rewrite	VERB
ap-951	66	12	in	in	ADP
ap-951	66	13	the	the	DET
ap-951	66	14	matrix	matrix	NOUN
ap-951	66	15	form	form	NOUN
ap-951	66	16	�	�	PROPN
ap-951	66	17	�	�	PROPN
ap-951	66	18	�	�	PROPN
ap-951	66	19	t	t	PROPN
ap-951	66	20	jj	jj	PROPN
ap-951	66	21	l	l	PROPN
ap-951	66	22	z	z	PROPN
ap-951	66	23	l	l	NOUN
ap-951	67	1	z	z	VERB
ap-951	67	2	m	m	VERB
ap-951	67	3	z	z	ADJ
ap-951	67	4	(	(	PUNCT
ap-951	67	5	,	,	PUNCT
ap-951	67	6	)	)	PUNCT
ap-951	67	7	(	(	PUNCT
ap-951	67	8	,	,	PUNCT
ap-951	67	9	)	)	PUNCT
ap-951	67	10	,	,	PUNCT
ap-951	67	11	(	(	PUNCT
ap-951	67	12	,	,	PUNCT
ap-951	67	13	)	)	PUNCT
ap-951	67	14	x	x	SYM
ap-951	67	15	x	x	PUNCT
ap-951	67	16	x	x	X
ap-951	67	17	�	�	PROPN
ap-951	67	18	.	.	PUNCT
ap-951	68	1	(	(	PUNCT
ap-951	68	2	2.3	2.3	NUM
ap-951	68	3	)	)	PUNCT
ap-951	68	4	let	let	VERB
ap-951	68	5	f	f	PRON
ap-951	68	6	be	be	AUX
ap-951	68	7	a	a	DET
ap-951	68	8	non	non	ADJ
ap-951	68	9	-	-	ADJ
ap-951	68	10	degenerate	degenerate	ADJ
ap-951	68	11	matrix	matrix	NOUN
ap-951	68	12	of	of	ADP
ap-951	68	13	the	the	DET
ap-951	68	14	same	same	ADJ
ap-951	68	15	order	order	NOUN
ap-951	68	16	as	as	ADP
ap-951	68	17	l	l	NOUN
ap-951	68	18	and	and	CCONJ
ap-951	68	19	m.	m.	NOUN
ap-951	68	20	the	the	DET
ap-951	68	21	transformation	transformation	NOUN
ap-951	68	22	�	�	PROPN
ap-951	68	23	�	�	PROPN
ap-951	68	24	�	�	PROPN
ap-951	68	25	l	l	PROPN
ap-951	68	26	f	f	PROPN
ap-951	68	27	l	l	PROPN
ap-951	68	28	f1	f1	NOUN
ap-951	68	29	,	,	PUNCT
ap-951	68	30	�	�	PROPN
ap-951	68	31	�	�	PROPN
ap-951	68	32	�	�	PROPN
ap-951	68	33	�	�	PROPN
ap-951	68	34	m	m	PROPN
ap-951	68	35	f	f	PROPN
ap-951	69	1	f	f	PROPN
ap-951	70	1	f	f	PROPN
ap-951	71	1	m	m	VERB
ap-951	72	1	fj	fj	INTJ
ap-951	72	2	t	t	NOUN
ap-951	72	3	jj	jj	PROPN
ap-951	72	4	1	1	NUM
ap-951	72	5	1	1	NUM
ap-951	72	6	�	�	PROPN
ap-951	72	7	,	,	PUNCT
ap-951	72	8	(	(	PUNCT
ap-951	72	9	2.4	2.4	NUM
ap-951	72	10	)	)	PUNCT
ap-951	72	11	is	be	AUX
ap-951	72	12	called	call	VERB
ap-951	72	13	the	the	DET
ap-951	72	14	gauge	gauge	ADJ
ap-951	72	15	transformation	transformation	NOUN
ap-951	72	16	because	because	SCONJ
ap-951	72	17	it	it	PRON
ap-951	72	18	preserves	preserve	VERB
ap-951	72	19	the	the	DET
ap-951	72	20	lax	lax	ADJ
ap-951	72	21	form	form	NOUN
ap-951	72	22	(	(	PUNCT
ap-951	72	23	2.3	2.3	NUM
ap-951	72	24	)	)	PUNCT
ap-951	72	25	.	.	PUNCT
ap-951	73	1	the	the	DET
ap-951	73	2	flows	flow	NOUN
ap-951	73	3	(	(	PUNCT
ap-951	73	4	2.3	2.3	NUM
ap-951	73	5	)	)	PUNCT
ap-951	73	6	can	can	AUX
ap-951	73	7	be	be	AUX
ap-951	73	8	considered	consider	VERB
ap-951	73	9	as	as	ADP
ap-951	73	10	special	special	ADJ
ap-951	73	11	gauge	gauge	NOUN
ap-951	73	12	transformations	transformation	NOUN
ap-951	73	13	l	l	NOUN
ap-951	73	14	t	t	NOUN
ap-951	73	15	t	t	X
ap-951	73	16	f	f	PROPN
ap-951	73	17	t	t	PROPN
ap-951	74	1	t	t	PROPN
ap-951	74	2	l	l	NOUN
ap-951	74	3	f	f	PROPN
ap-951	74	4	t	t	X
ap-951	74	5	tl	tl	PROPN
ap-951	74	6	l	l	PROPN
ap-951	74	7	l	l	PROPN
ap-951	74	8	(	(	PUNCT
ap-951	74	9	,	,	PUNCT
ap-951	74	10	,	,	PUNCT
ap-951	74	11	)	)	PUNCT
ap-951	74	12	(	(	PUNCT
ap-951	74	13	,	,	PUNCT
ap-951	74	14	,	,	PUNCT
ap-951	74	15	)	)	PUNCT
ap-951	74	16	(	(	PUNCT
ap-951	74	17	,	,	PUNCT
ap-951	74	18	,	,	PUNCT
ap-951	74	19	)	)	PUNCT
ap-951	74	20	,	,	PUNCT
ap-951	74	21	1	1	NUM
ap-951	74	22	1	1	NUM
ap-951	74	23	1	1	NUM
ap-951	74	24	0	0	NUM
ap-951	74	25	1	1	NUM
ap-951	74	26	�	�	PROPN
ap-951	74	27	�	�	PROPN
ap-951	74	28	�	�	PROPN
ap-951	74	29	�	�	PROPN
ap-951	74	30	�	�	PROPN
ap-951	74	31	where	where	SCONJ
ap-951	74	32	l0	l0	PROPN
ap-951	74	33	is	be	AUX
ap-951	74	34	independent	independent	ADJ
ap-951	74	35	on	on	ADP
ap-951	74	36	times	time	NOUN
ap-951	74	37	and	and	CCONJ
ap-951	74	38	defines	define	VERB
ap-951	74	39	an	an	DET
ap-951	74	40	initial	initial	ADJ
ap-951	74	41	data	datum	NOUN
ap-951	74	42	,	,	PUNCT
ap-951	74	43	and	and	CCONJ
ap-951	74	44	m	m	PROPN
ap-951	74	45	f	f	PROPN
ap-951	74	46	fj	fj	PROPN
ap-951	74	47	t	t	PROPN
ap-951	74	48	j	j	PROPN
ap-951	74	49	�	�	PROPN
ap-951	74	50	�	�	PROPN
ap-951	74	51	1	1	NUM
ap-951	74	52	�	�	PROPN
ap-951	74	53	.	.	PUNCT
ap-951	75	1	moreover	moreover	ADV
ap-951	75	2	,	,	PUNCT
ap-951	75	3	it	it	PRON
ap-951	75	4	follows	follow	VERB
ap-951	75	5	from	from	ADP
ap-951	75	6	this	this	DET
ap-951	75	7	representation	representation	NOUN
ap-951	75	8	that	that	SCONJ
ap-951	75	9	the	the	DET
ap-951	75	10	quantities	quantity	NOUN
ap-951	75	11	tr	tr	VERB
ap-951	75	12	l	l	PROPN
ap-951	75	13	z	z	PROPN
ap-951	75	14	j	j	PROPN
ap-951	75	15	(	(	PUNCT
ap-951	75	16	(	(	PUNCT
ap-951	75	17	,	,	PUNCT
ap-951	75	18	)	)	PUNCT
ap-951	75	19	)	)	PUNCT
ap-951	76	1	x	x	X
ap-951	76	2	are	be	AUX
ap-951	76	3	preserved	preserve	VERB
ap-951	76	4	by	by	ADP
ap-951	76	5	the	the	DET
ap-951	76	6	flows	flow	NOUN
ap-951	76	7	and	and	CCONJ
ap-951	76	8	thereby	thereby	ADV
ap-951	76	9	can	can	AUX
ap-951	76	10	produce	produce	VERB
ap-951	76	11	,	,	PUNCT
ap-951	76	12	in	in	ADP
ap-951	76	13	principle	principle	NOUN
ap-951	76	14	,	,	PUNCT
ap-951	76	15	the	the	DET
ap-951	76	16	integrals	integral	NOUN
ap-951	76	17	of	of	ADP
ap-951	76	18	motion	motion	NOUN
ap-951	76	19	.	.	PUNCT
ap-951	77	1	as	as	SCONJ
ap-951	77	2	we	we	PRON
ap-951	77	3	mentioned	mention	VERB
ap-951	77	4	above	above	ADV
ap-951	77	5	,	,	PUNCT
ap-951	77	6	it	it	PRON
ap-951	77	7	is	be	AUX
ap-951	77	8	reasonable	reasonable	ADJ
ap-951	77	9	to	to	PART
ap-951	77	10	consider	consider	VERB
ap-951	77	11	two	two	NUM
ap-951	77	12	integrable	integrable	ADJ
ap-951	77	13	systems	system	NOUN
ap-951	77	14	to	to	PART
ap-951	77	15	be	be	AUX
ap-951	77	16	equivalent	equivalent	ADJ
ap-951	77	17	if	if	SCONJ
ap-951	77	18	their	their	PRON
ap-951	77	19	lax	lax	ADJ
ap-951	77	20	matrices	matrix	NOUN
ap-951	77	21	are	be	AUX
ap-951	77	22	related	relate	VERB
ap-951	77	23	by	by	ADP
ap-951	77	24	a	a	DET
ap-951	77	25	non	non	ADJ
ap-951	77	26	-	-	ADJ
ap-951	77	27	degenerate	degenerate	ADJ
ap-951	77	28	gauge	gauge	NOUN
ap-951	77	29	transformation	transformation	NOUN
ap-951	77	30	.	.	PUNCT
ap-951	78	1	we	we	PRON
ap-951	78	2	relax	relax	VERB
ap-951	78	3	the	the	DET
ap-951	78	4	definition	definition	NOUN
ap-951	78	5	of	of	ADP
ap-951	78	6	the	the	DET
ap-951	78	7	gauge	gauge	NOUN
ap-951	78	8	transformations	transformation	NOUN
ap-951	78	9	and	and	CCONJ
ap-951	78	10	assume	assume	VERB
ap-951	78	11	that	that	PRON
ap-951	78	12	can	can	AUX
ap-951	78	13	have	have	VERB
ap-951	78	14	poles	pole	NOUN
ap-951	78	15	and	and	CCONJ
ap-951	78	16	zeroes	zero	NOUN
ap-951	78	17	on	on	ADP
ap-951	78	18	the	the	DET
ap-951	78	19	basic	basic	ADJ
ap-951	78	20	spectral	spectral	ADJ
ap-951	78	21	curve	curve	NOUN
ap-951	78	22	�	�	PROPN
ap-951	78	23	with	with	ADP
ap-951	78	24	some	some	DET
ap-951	78	25	additional	additional	ADJ
ap-951	78	26	restrictions	restriction	NOUN
ap-951	78	27	on	on	ADP
ap-951	78	28	f.	f.	PROPN
ap-951	78	29	this	this	DET
ap-951	78	30	equivalence	equivalence	NOUN
ap-951	78	31	is	be	AUX
ap-951	78	32	called	call	VERB
ap-951	78	33	the	the	DET
ap-951	78	34	symplectic	symplectic	ADJ
ap-951	78	35	hecke	hecke	PROPN
ap-951	78	36	correspondence	correspondence	NOUN
ap-951	78	37	.	.	PUNCT
ap-951	79	1	this	this	DET
ap-951	79	2	extension	extension	NOUN
ap-951	79	3	of	of	ADP
ap-951	79	4	equivalence	equivalence	NOUN
ap-951	79	5	will	will	AUX
ap-951	79	6	be	be	AUX
ap-951	79	7	considered	consider	VERB
ap-951	79	8	in	in	ADP
ap-951	79	9	details	detail	NOUN
ap-951	79	10	in	in	ADP
ap-951	79	11	these	these	DET
ap-951	79	12	lectures	lecture	NOUN
ap-951	79	13	.	.	PUNCT
ap-951	80	1	the	the	DET
ap-951	80	2	following	follow	VERB
ap-951	80	3	systems	system	NOUN
ap-951	80	4	are	be	AUX
ap-951	80	5	equivalent	equivalent	ADJ
ap-951	80	6	in	in	ADP
ap-951	80	7	this	this	DET
ap-951	80	8	sense	sense	NOUN
ap-951	80	9	:	:	PUNCT
ap-951	80	10	examples	example	NOUN
ap-951	80	11	�	�	PROPN
ap-951	80	12	1	1	NUM
ap-951	80	13	.	.	PUNCT
ap-951	80	14	elliptic	elliptic	ADJ
ap-951	80	15	calogero	calogero	PROPN
ap-951	80	16	-	-	PUNCT
ap-951	80	17	moser	moser	PROPN
ap-951	80	18	system	system	PROPN
ap-951	80	19	�	�	PROPN
ap-951	80	20	elliptic	elliptic	PROPN
ap-951	80	21	gl	gl	PROPN
ap-951	80	22	(	(	PUNCT
ap-951	80	23	,	,	PUNCT
ap-951	80	24	)	)	PUNCT
ap-951	80	25	n	n	DET
ap-951	80	26	�	�	PROPN
ap-951	80	27	top	top	NOUN
ap-951	80	28	,	,	PUNCT
ap-951	80	29	[	[	X
ap-951	80	30	11	11	NUM
ap-951	80	31	]	]	PUNCT
ap-951	80	32	;	;	PUNCT
ap-951	80	33	�	�	PROPN
ap-951	80	34	2	2	NUM
ap-951	80	35	.	.	PUNCT
ap-951	80	36	calogero	calogero	PROPN
ap-951	80	37	-	-	PUNCT
ap-951	80	38	moser	moser	PROPN
ap-951	80	39	field	field	PROPN
ap-951	80	40	theory	theory	NOUN
ap-951	80	41	�	�	PROPN
ap-951	80	42	landau	landau	NOUN
ap-951	80	43	-	-	PUNCT
ap-951	80	44	lifshitz	lifshitz	NOUN
ap-951	80	45	equation	equation	NOUN
ap-951	80	46	,	,	PUNCT
ap-951	80	47	[	[	X
ap-951	80	48	11	11	NUM
ap-951	80	49	,	,	PUNCT
ap-951	80	50	10	10	NUM
ap-951	80	51	]	]	PUNCT
ap-951	80	52	;	;	PUNCT
ap-951	80	53	�	�	PROPN
ap-951	80	54	3	3	NUM
ap-951	80	55	.	.	PUNCT
ap-951	80	56	painlevé	painlevé	PROPN
ap-951	80	57	vi	vi	PROPN
ap-951	80	58	�	�	PROPN
ap-951	80	59	zhukovsky	zhukovsky	PROPN
ap-951	80	60	-	-	PUNCT
ap-951	80	61	volterra	volterra	NOUN
ap-951	80	62	gyrostat	gyrostat	NOUN
ap-951	80	63	,	,	PUNCT
ap-951	80	64	[	[	X
ap-951	80	65	12	12	NUM
ap-951	80	66	]	]	PUNCT
ap-951	80	67	.	.	PUNCT
ap-951	81	1	the	the	DET
ap-951	81	2	first	first	ADJ
ap-951	81	3	example	example	NOUN
ap-951	81	4	will	will	AUX
ap-951	81	5	be	be	AUX
ap-951	81	6	considered	consider	VERB
ap-951	81	7	in	in	ADP
ap-951	81	8	section	section	NOUN
ap-951	81	9	4	4	NUM
ap-951	81	10	.	.	PUNCT
ap-951	82	1	the	the	DET
ap-951	82	2	gauge	gauge	ADJ
ap-951	82	3	invariance	invariance	NOUN
ap-951	82	4	of	of	ADP
ap-951	82	5	the	the	DET
ap-951	82	6	lax	lax	ADJ
ap-951	82	7	matrices	matrix	NOUN
ap-951	82	8	allows	allow	VERB
ap-951	82	9	one	one	NUM
ap-951	82	10	to	to	PART
ap-951	82	11	define	define	VERB
ap-951	82	12	the	the	DET
ap-951	82	13	spectral	spectral	ADJ
ap-951	82	14	curve	curve	PROPN
ap-951	82	15	�	�	PROPN
ap-951	82	16	�	�	PROPN
ap-951	82	17	�	�	PROPN
ap-951	82	18	�	�	PROPN
ap-951	82	19	�	�	PROPN
ap-951	82	20	�	�	PROPN
ap-951	82	21	�	�	PROPN
ap-951	82	22	�	�	PROPN
ap-951	82	23	(	(	PUNCT
ap-951	82	24	,	,	PUNCT
ap-951	82	25	)	)	PUNCT
ap-951	82	26	det	det	PROPN
ap-951	82	27	(	(	PUNCT
ap-951	82	28	(	(	PUNCT
ap-951	82	29	,	,	PUNCT
ap-951	82	30	)	)	PUNCT
ap-951	82	31	)	)	PUNCT
ap-951	82	32	�	�	PROPN
ap-951	82	33	�	�	PROPN
ap-951	82	34	�	�	PROPN
ap-951	82	35	z	z	PROPN
ap-951	82	36	l	l	NOUN
ap-951	82	37	x	x	PUNCT
ap-951	82	38	z	z	X
ap-951	82	39	�	�	PROPN
ap-951	82	40	0	0	NUM
ap-951	82	41	(	(	PUNCT
ap-951	82	42	2.5	2.5	NUM
ap-951	82	43	)	)	PUNCT
ap-951	82	44	the	the	DET
ap-951	82	45	jacobian	jacobian	NOUN
ap-951	82	46	of	of	ADP
ap-951	82	47	�	�	PROPN
ap-951	82	48	is	be	AUX
ap-951	82	49	an	an	DET
ap-951	82	50	abelian	abelian	ADJ
ap-951	82	51	variety	variety	NOUN
ap-951	82	52	of	of	ADP
ap-951	82	53	dimension	dimension	NOUN
ap-951	82	54	g	g	PROPN
ap-951	82	55	,	,	PUNCT
ap-951	82	56	where	where	SCONJ
ap-951	82	57	g	g	PROPN
ap-951	82	58	is	be	AUX
ap-951	82	59	the	the	DET
ap-951	82	60	genus	genus	NOUN
ap-951	82	61	of	of	ADP
ap-951	82	62	�	�	PROPN
ap-951	82	63	.	.	PUNCT
ap-951	83	1	if	if	SCONJ
ap-951	83	2	g	g	PROPN
ap-951	83	3	l	l	PROPN
ap-951	83	4	�	�	X
ap-951	83	5	�	�	PROPN
ap-951	83	6	1	1	NUM
ap-951	83	7	2	2	NUM
ap-951	83	8	dim	dim	ADJ
ap-951	83	9	�	�	NOUN
ap-951	83	10	then	then	ADV
ap-951	83	11	�	�	PROPN
ap-951	83	12	plays	play	VERB
ap-951	83	13	the	the	DET
ap-951	83	14	role	role	NOUN
ap-951	83	15	of	of	ADP
ap-951	83	16	the	the	DET
ap-951	83	17	liouville	liouville	NOUN
ap-951	83	18	torus	torus	NOUN
ap-951	83	19	and	and	CCONJ
ap-951	83	20	the	the	DET
ap-951	83	21	system	system	NOUN
ap-951	83	22	is	be	AUX
ap-951	83	23	algebraically	algebraically	ADV
ap-951	83	24	integrable	integrable	ADJ
ap-951	83	25	.	.	PUNCT
ap-951	84	1	in	in	ADP
ap-951	84	2	generic	generic	ADJ
ap-951	84	3	cases	case	NOUN
ap-951	84	4	g	g	ADP
ap-951	84	5	>	>	X
ap-951	84	6	l	l	NOUN
ap-951	84	7	and	and	CCONJ
ap-951	84	8	to	to	PART
ap-951	84	9	prove	prove	VERB
ap-951	84	10	algebraic	algebraic	ADJ
ap-951	84	11	integrability	integrability	NOUN
ap-951	84	12	one	one	PRON
ap-951	84	13	should	should	AUX
ap-951	84	14	find	find	VERB
ap-951	84	15	additional	additional	ADJ
ap-951	84	16	reductions	reduction	NOUN
ap-951	84	17	of	of	ADP
ap-951	84	18	the	the	DET
ap-951	84	19	jacobians	jacobian	NOUN
ap-951	84	20	,	,	PUNCT
ap-951	84	21	leading	lead	VERB
ap-951	84	22	to	to	ADP
ap-951	84	23	abelian	abelian	ADJ
ap-951	84	24	spaces	space	NOUN
ap-951	84	25	of	of	ADP
ap-951	84	26	dimension	dimension	NOUN
ap-951	84	27	l.	l.	PROPN
ap-951	84	28	finally	finally	ADV
ap-951	84	29	we	we	PRON
ap-951	84	30	formulate	formulate	VERB
ap-951	84	31	two	two	NUM
ap-951	84	32	goals	goal	NOUN
ap-951	84	33	of	of	ADP
ap-951	84	34	these	these	DET
ap-951	84	35	lectures	lecture	NOUN
ap-951	84	36	�	�	PROPN
ap-951	84	37	to	to	PART
ap-951	84	38	derive	derive	VERB
ap-951	84	39	the	the	DET
ap-951	84	40	lax	lax	ADJ
ap-951	84	41	equation	equation	NOUN
ap-951	84	42	and	and	CCONJ
ap-951	84	43	the	the	DET
ap-951	84	44	lax	lax	ADJ
ap-951	84	45	matrices	matrix	NOUN
ap-951	84	46	from	from	ADP
ap-951	84	47	a	a	DET
ap-951	84	48	gauge	gauge	NOUN
ap-951	84	49	theory	theory	NOUN
ap-951	84	50	;	;	PUNCT
ap-951	84	51	�	�	PROPN
ap-951	84	52	to	to	PART
ap-951	84	53	explain	explain	VERB
ap-951	84	54	the	the	DET
ap-951	84	55	equivalence	equivalence	NOUN
ap-951	84	56	between	between	ADP
ap-951	84	57	integrable	integrable	ADJ
ap-951	84	58	models	model	NOUN
ap-951	84	59	by	by	ADP
ap-951	84	60	inserting	insert	VERB
ap-951	84	61	t’hooft	t’hooft	PROPN
ap-951	84	62	operators	operator	NOUN
ap-951	84	63	in	in	ADP
ap-951	84	64	gauge	gauge	NOUN
ap-951	84	65	theory	theory	NOUN
ap-951	84	66	.	.	PUNCT
ap-951	85	1	3	3	NUM
ap-951	85	2	1d	1d	NUM
ap-951	85	3	field	field	NOUN
ap-951	85	4	theory	theory	NOUN
ap-951	85	5	the	the	DET
ap-951	85	6	simplest	simple	ADJ
ap-951	85	7	integrable	integrable	ADJ
ap-951	85	8	models	model	NOUN
ap-951	85	9	,	,	PUNCT
ap-951	85	10	such	such	ADJ
ap-951	85	11	as	as	ADP
ap-951	85	12	the	the	DET
ap-951	85	13	rational	rational	ADJ
ap-951	85	14	calogero	calogero	PROPN
ap-951	85	15	-	-	PUNCT
ap-951	85	16	moser	moser	PROPN
ap-951	85	17	system	system	NOUN
ap-951	85	18	,	,	PUNCT
ap-951	85	19	the	the	DET
ap-951	85	20	sutherland	sutherland	PROPN
ap-951	85	21	model	model	NOUN
ap-951	85	22	,	,	PUNCT
ap-951	85	23	and	and	CCONJ
ap-951	85	24	the	the	DET
ap-951	85	25	open	open	ADJ
ap-951	85	26	toda	toda	PROPN
ap-951	85	27	model	model	NOUN
ap-951	85	28	can	can	AUX
ap-951	85	29	be	be	AUX
ap-951	85	30	derived	derive	VERB
ap-951	85	31	from	from	ADP
ap-951	85	32	matrix	matrix	NOUN
ap-951	85	33	models	model	NOUN
ap-951	85	34	of	of	ADP
ap-951	85	35	a	a	DET
ap-951	85	36	finite	finite	ADJ
ap-951	85	37	order	order	NOUN
ap-951	85	38	.	.	PUNCT
ap-951	86	1	here	here	ADV
ap-951	86	2	we	we	PRON
ap-951	86	3	consider	consider	VERB
ap-951	86	4	a	a	DET
ap-951	86	5	particular	particular	ADJ
ap-951	86	6	case	case	NOUN
ap-951	86	7	–	–	PUNCT
ap-951	86	8	the	the	DET
ap-951	86	9	rational	rational	ADJ
ap-951	86	10	calogero	calogero	PROPN
ap-951	86	11	-	-	PUNCT
ap-951	86	12	moser	moser	PROPN
ap-951	86	13	system	system	NOUN
ap-951	86	14	(	(	PUNCT
ap-951	86	15	rcms	rcms	PROPN
ap-951	86	16	)	)	PUNCT
ap-951	87	1	[	[	X
ap-951	87	2	32	32	NUM
ap-951	87	3	,	,	PUNCT
ap-951	87	4	33	33	NUM
ap-951	87	5	]	]	PUNCT
ap-951	87	6	.	.	PUNCT
ap-951	87	7	3.1	3.1	NUM
ap-951	87	8	rational	rational	ADJ
ap-951	87	9	calogero	calogero	PROPN
ap-951	87	10	-	-	PUNCT
ap-951	87	11	moser	moser	PROPN
ap-951	87	12	system	system	NOUN
ap-951	87	13	(	(	PUNCT
ap-951	87	14	rcms	rcms	PROPN
ap-951	87	15	)	)	PUNCT
ap-951	87	16	the	the	DET
ap-951	87	17	phase	phase	NOUN
ap-951	87	18	space	space	NOUN
ap-951	87	19	of	of	ADP
ap-951	87	20	the	the	DET
ap-951	87	21	rcms	rcms	NOUN
ap-951	87	22	is	be	AUX
ap-951	87	23	�	�	PROPN
ap-951	87	24	�	�	PROPN
ap-951	87	25	�	�	PROPN
ap-951	87	26	rcm	rcm	PROPN
ap-951	87	27	nc	nc	PROPN
ap-951	87	28	�	�	PROPN
ap-951	87	29	�	�	PROPN
ap-951	87	30	2	2	NUM
ap-951	87	31	(	(	PUNCT
ap-951	87	32	,	,	PUNCT
ap-951	87	33	)	)	PUNCT
ap-951	87	34	v	v	NOUN
ap-951	87	35	u	u	PROPN
ap-951	87	36	,	,	PUNCT
ap-951	87	37	v	v	PROPN
ap-951	87	38	�	�	PROPN
ap-951	87	39	(	(	PUNCT
ap-951	87	40	,	,	PUNCT
ap-951	87	41	,	,	PUNCT
ap-951	87	42	)	)	PUNCT
ap-951	87	43	v	v	PRON
ap-951	87	44	vn1	vn1	NOUN
ap-951	87	45	�	�	PROPN
ap-951	87	46	,	,	PUNCT
ap-951	87	47	u	u	PROPN
ap-951	87	48	�	�	PROPN
ap-951	87	49	(	(	PUNCT
ap-951	87	50	,	,	PUNCT
ap-951	87	51	,	,	PUNCT
ap-951	87	52	)	)	PUNCT
ap-951	87	53	u	u	PROPN
ap-951	87	54	un1	un1	PROPN
ap-951	87	55	�	�	PROPN
ap-951	87	56	with	with	ADP
ap-951	87	57	the	the	DET
ap-951	87	58	canonical	canonical	ADJ
ap-951	87	59	symplectic	symplectic	ADJ
ap-951	87	60	form	form	NOUN
ap-951	87	61	�	�	PROPN
ap-951	87	62	rcm	rcm	PROPN
ap-951	87	63	j	j	PROPN
ap-951	88	1	j	j	PROPN
ap-951	88	2	j	j	PROPN
ap-951	88	3	n	n	CCONJ
ap-951	88	4	dv	dv	PROPN
ap-951	88	5	du	du	PROPN
ap-951	88	6	�	�	PROPN
ap-951	88	7	�	�	PROPN
ap-951	88	8	�	�	PROPN
ap-951	88	9	�	�	PROPN
ap-951	88	10	1	1	NUM
ap-951	88	11	,	,	PUNCT
ap-951	88	12	�	�	PROPN
ap-951	88	13	�	�	PROPN
ap-951	88	14	v	v	NOUN
ap-951	88	15	uj	uj	PROPN
ap-951	88	16	k	k	PROPN
ap-951	88	17	jk	jk	PROPN
ap-951	88	18	,	,	PUNCT
ap-951	88	19	�	�	PROPN
ap-951	88	20	�	�	PROPN
ap-951	88	21	.	.	PUNCT
ap-951	89	1	(	(	PUNCT
ap-951	89	2	3.1	3.1	NUM
ap-951	89	3	)	)	PUNCT
ap-951	89	4	the	the	DET
ap-951	89	5	hamiltonian	hamiltonian	NOUN
ap-951	89	6	describes	describe	VERB
ap-951	89	7	interacting	interact	VERB
ap-951	89	8	particles	particle	NOUN
ap-951	89	9	with	with	ADP
ap-951	89	10	complex	complex	ADJ
ap-951	89	11	coordinates	coordinate	NOUN
ap-951	89	12	u	u	PROPN
ap-951	89	13	�	�	PROPN
ap-951	89	14	(	(	PUNCT
ap-951	89	15	,	,	PUNCT
ap-951	89	16	,	,	PUNCT
ap-951	89	17	)	)	PUNCT
ap-951	89	18	u	u	PROPN
ap-951	89	19	un1	un1	PROPN
ap-951	89	20	�	�	PROPN
ap-951	89	21	and	and	CCONJ
ap-951	89	22	complex	complex	ADJ
ap-951	89	23	momenta	momenta	NOUN
ap-951	89	24	v	v	PROPN
ap-951	89	25	�	�	PROPN
ap-951	89	26	(	(	PUNCT
ap-951	89	27	,	,	PUNCT
ap-951	89	28	,	,	PUNCT
ap-951	89	29	)	)	PUNCT
ap-951	89	30	v	v	PRON
ap-951	89	31	vn1	vn1	NOUN
ap-951	89	32	�	�	PROPN
ap-951	89	33	h	h	NOUN
ap-951	89	34	v	v	NOUN
ap-951	89	35	u	u	X
ap-951	89	36	u	u	NOUN
ap-951	89	37	rcm	rcm	PROPN
ap-951	89	38	j	j	PROPN
ap-951	89	39	j	j	PROPN
ap-951	89	40	n	n	NUM
ap-951	89	41	j	j	PROPN
ap-951	89	42	kj	kj	PROPN
ap-951	89	43	k	k	PROPN
ap-951	89	44	�	�	PROPN
ap-951	89	45	�	�	PROPN
ap-951	89	46	�	�	PROPN
ap-951	89	47	�	�	PROPN
ap-951	89	48	�	�	PROPN
ap-951	89	49	�	�	PROPN
ap-951	89	50	1	1	NUM
ap-951	89	51	2	2	NUM
ap-951	89	52	12	12	NUM
ap-951	89	53	1	1	NUM
ap-951	89	54	2	2	NUM
ap-951	89	55	2	2	NUM
ap-951	89	56	(	(	PUNCT
ap-951	89	57	)	)	PUNCT
ap-951	89	58	.	.	PUNCT
ap-951	90	1	6	6	NUM
ap-951	90	2	©	©	PROPN
ap-951	90	3	czech	czech	PROPN
ap-951	90	4	technical	technical	PROPN
ap-951	90	5	university	university	PROPN
ap-951	90	6	publishing	publishing	NOUN
ap-951	90	7	house	house	NOUN
ap-951	90	8	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-951	90	9	acta	acta	PROPN
ap-951	90	10	polytechnica	polytechnica	PROPN
ap-951	90	11	vol	vol	NOUN
ap-951	90	12	.	.	PUNCT
ap-951	91	1	48	48	NUM
ap-951	91	2	no	no	NOUN
ap-951	91	3	.	.	PUNCT
ap-951	92	1	2/2008	2/2008	NOUN
ap-951	93	1	the	the	DET
ap-951	93	2	hamiltonian	hamiltonian	NOUN
ap-951	93	3	leads	lead	VERB
ap-951	93	4	to	to	ADP
ap-951	93	5	the	the	DET
ap-951	93	6	equations	equation	NOUN
ap-951	93	7	of	of	ADP
ap-951	93	8	motion	motion	NOUN
ap-951	93	9	�	�	PROPN
ap-951	93	10	t	t	PROPN
ap-951	93	11	j	j	PROPN
ap-951	93	12	ju	ju	PROPN
ap-951	93	13	v	v	PROPN
ap-951	93	14	�	�	PROPN
ap-951	93	15	,	,	PUNCT
ap-951	93	16	(	(	PUNCT
ap-951	93	17	3.2	3.2	NUM
ap-951	93	18	)	)	PUNCT
ap-951	93	19	�	�	PROPN
ap-951	93	20	t	t	PROPN
ap-951	93	21	j	j	PROPN
ap-951	94	1	j	j	PROPN
ap-951	94	2	kj	kj	PROPN
ap-951	94	3	k	k	PROPN
ap-951	94	4	v	v	NUM
ap-951	94	5	u	u	PROPN
ap-951	94	6	u	u	PROPN
ap-951	94	7	�	�	PROPN
ap-951	94	8	�	�	PROPN
ap-951	94	9	�	�	PROPN
ap-951	94	10	�	�	PROPN
ap-951	94	11	�	�	PROPN
ap-951	94	12	2	2	NUM
ap-951	94	13	3	3	NUM
ap-951	94	14	1	1	NUM
ap-951	94	15	(	(	PUNCT
ap-951	94	16	)	)	PUNCT
ap-951	94	17	.	.	PUNCT
ap-951	95	1	(	(	PUNCT
ap-951	95	2	3.3	3.3	NUM
ap-951	95	3	)	)	PUNCT
ap-951	95	4	the	the	DET
ap-951	95	5	equations	equation	NOUN
ap-951	95	6	of	of	ADP
ap-951	95	7	motion	motion	NOUN
ap-951	95	8	can	can	AUX
ap-951	95	9	be	be	AUX
ap-951	95	10	put	put	VERB
ap-951	95	11	in	in	ADP
ap-951	95	12	the	the	DET
ap-951	95	13	lax	lax	ADJ
ap-951	95	14	form	form	NOUN
ap-951	95	15	�	�	PROPN
ap-951	95	16	t	t	PROPN
ap-951	95	17	l	l	NOUN
ap-951	95	18	l	l	NOUN
ap-951	95	19	m	m	PROPN
ap-951	95	20	(	(	PUNCT
ap-951	95	21	,	,	PUNCT
ap-951	95	22	)	)	PUNCT
ap-951	95	23	[	[	PUNCT
ap-951	95	24	(	(	PUNCT
ap-951	95	25	,	,	PUNCT
ap-951	95	26	)	)	PUNCT
ap-951	95	27	,	,	PUNCT
ap-951	95	28	(	(	PUNCT
ap-951	95	29	,	,	PUNCT
ap-951	95	30	)	)	PUNCT
ap-951	95	31	]	]	X
ap-951	95	32	v	v	X
ap-951	95	33	u	u	NOUN
ap-951	95	34	v	v	ADP
ap-951	95	35	u	u	PRON
ap-951	95	36	v	v	NUM
ap-951	95	37	u	u	NOUN
ap-951	95	38	�	�	PROPN
ap-951	95	39	.	.	PUNCT
ap-951	96	1	(	(	PUNCT
ap-951	96	2	3.4	3.4	NUM
ap-951	96	3	)	)	PUNCT
ap-951	96	4	here	here	ADV
ap-951	96	5	l	l	NOUN
ap-951	96	6	,	,	PUNCT
ap-951	96	7	m	m	VERB
ap-951	96	8	are	be	AUX
ap-951	96	9	the	the	DET
ap-951	96	10	n×n	n×n	PROPN
ap-951	96	11	matrices	matrix	NOUN
ap-951	96	12	of	of	ADP
ap-951	96	13	the	the	DET
ap-951	96	14	form	form	NOUN
ap-951	97	1	l	l	NOUN
ap-951	97	2	p	p	X
ap-951	97	3	x	x	X
ap-951	97	4	�	�	PROPN
ap-951	97	5	,	,	PUNCT
ap-951	97	6	m	m	PROPN
ap-951	97	7	d	d	X
ap-951	97	8	y	y	PROPN
ap-951	97	9	�	�	PROPN
ap-951	97	10	,	,	PUNCT
ap-951	97	11	p	p	PROPN
ap-951	97	12	diag	diag	PROPN
ap-951	97	13	v	v	ADP
ap-951	97	14	vn	vn	X
ap-951	97	15	�	�	PROPN
ap-951	97	16	(	(	PUNCT
ap-951	97	17	,	,	PUNCT
ap-951	97	18	,	,	PUNCT
ap-951	97	19	)	)	PUNCT
ap-951	97	20	1	1	NUM
ap-951	97	21	�	�	PROPN
ap-951	97	22	,	,	PUNCT
ap-951	97	23	x	x	PUNCT
ap-951	97	24	u	u	NOUN
ap-951	97	25	ujk	ujk	PROPN
ap-951	97	26	j	j	PROPN
ap-951	97	27	k	k	PROPN
ap-951	97	28	�	�	PROPN
ap-951	97	29	�	�	PROPN
ap-951	97	30	�	�	PROPN
ap-951	97	31	(	(	PUNCT
ap-951	97	32	)	)	PUNCT
ap-951	97	33	1	1	NUM
ap-951	97	34	,	,	PUNCT
ap-951	97	35	(	(	PUNCT
ap-951	97	36	3.5	3.5	NUM
ap-951	97	37	)	)	PUNCT
ap-951	97	38	y	y	PROPN
ap-951	97	39	u	u	PROPN
ap-951	97	40	ujk	ujk	PROPN
ap-951	97	41	j	j	PROPN
ap-951	97	42	k	k	PROPN
ap-951	97	43	�	�	PROPN
ap-951	97	44	�	�	PROPN
ap-951	97	45	�	�	PROPN
ap-951	97	46	�	�	PROPN
ap-951	97	47	(	(	PUNCT
ap-951	97	48	)	)	PUNCT
ap-951	97	49	2	2	NUM
ap-951	97	50	,	,	PUNCT
ap-951	97	51	d	d	PROPN
ap-951	97	52	d	d	X
ap-951	97	53	dn	dn	PROPN
ap-951	97	54	�	�	PROPN
ap-951	97	55	diag	diag	NOUN
ap-951	97	56	(	(	PUNCT
ap-951	97	57	,	,	PUNCT
ap-951	97	58	,	,	PUNCT
ap-951	97	59	)	)	PUNCT
ap-951	97	60	1	1	NUM
ap-951	97	61	�	�	PROPN
ap-951	97	62	,	,	PUNCT
ap-951	97	63	(	(	PUNCT
ap-951	97	64	3.6	3.6	NUM
ap-951	97	65	)	)	PUNCT
ap-951	97	66	d	d	X
ap-951	97	67	u	u	PROPN
ap-951	97	68	uj	uj	PROPN
ap-951	97	69	j	j	PROPN
ap-951	97	70	k	k	PROPN
ap-951	97	71	k	k	PROPN
ap-951	97	72	j	j	PROPN
ap-951	97	73	�	�	PROPN
ap-951	97	74	�	�	PROPN
ap-951	97	75	�	�	PROPN
ap-951	97	76	�	�	PROPN
ap-951	97	77	(	(	PUNCT
ap-951	97	78	)	)	PUNCT
ap-951	97	79	2	2	X
ap-951	97	80	.	.	PUNCT
ap-951	98	1	the	the	DET
ap-951	98	2	diagonal	diagonal	ADJ
ap-951	98	3	part	part	NOUN
ap-951	98	4	of	of	ADP
ap-951	98	5	the	the	DET
ap-951	98	6	lax	lax	ADJ
ap-951	98	7	equation	equation	NOUN
ap-951	98	8	(	(	PUNCT
ap-951	98	9	3.4	3.4	NUM
ap-951	98	10	)	)	PUNCT
ap-951	98	11	implies	imply	VERB
ap-951	98	12	�	�	PROPN
ap-951	98	13	t	t	PROPN
ap-951	98	14	diagp	diagp	NOUN
ap-951	98	15	x	x	PUNCT
ap-951	98	16	z	z	X
ap-951	98	17	�	�	PROPN
ap-951	98	18	[	[	PUNCT
ap-951	98	19	,	,	PUNCT
ap-951	98	20	]	]	PUNCT
ap-951	98	21	.	.	PUNCT
ap-951	99	1	it	it	PRON
ap-951	99	2	coincides	coincide	VERB
ap-951	99	3	with	with	ADP
ap-951	99	4	(	(	PUNCT
ap-951	99	5	3.3	3.3	NUM
ap-951	99	6	)	)	PUNCT
ap-951	99	7	.	.	PUNCT
ap-951	100	1	the	the	DET
ap-951	100	2	non	non	ADJ
ap-951	100	3	-	-	ADJ
ap-951	100	4	diagonal	diagonal	ADJ
ap-951	100	5	part	part	NOUN
ap-951	100	6	has	have	VERB
ap-951	100	7	the	the	DET
ap-951	100	8	form	form	NOUN
ap-951	100	9	�	�	PROPN
ap-951	100	10	�	�	PROPN
ap-951	100	11	t	t	PROPN
ap-951	100	12	nondiagx	nondiagx	NOUN
ap-951	100	13	p	p	PROPN
ap-951	100	14	y	y	PROPN
ap-951	100	15	x	x	SYM
ap-951	100	16	y	y	PROPN
ap-951	100	17	x	x	PROPN
ap-951	100	18	d	d	X
ap-951	100	19	�	�	PROPN
ap-951	100	20	�	�	PROPN
ap-951	100	21	[	[	PUNCT
ap-951	100	22	,	,	PUNCT
ap-951	100	23	]	]	X
ap-951	100	24	[	[	PUNCT
ap-951	100	25	,	,	PUNCT
ap-951	100	26	]	]	X
ap-951	100	27	[	[	PUNCT
ap-951	100	28	,	,	PUNCT
ap-951	100	29	]	]	PUNCT
ap-951	100	30	.	.	PUNCT
ap-951	101	1	it	it	PRON
ap-951	101	2	can	can	AUX
ap-951	101	3	be	be	AUX
ap-951	101	4	found	find	VERB
ap-951	101	5	that	that	SCONJ
ap-951	101	6	[	[	PUNCT
ap-951	101	7	,	,	PUNCT
ap-951	101	8	]	]	X
ap-951	101	9	[	[	PUNCT
ap-951	101	10	,	,	PUNCT
ap-951	101	11	]	]	X
ap-951	101	12	x	x	X
ap-951	101	13	y	y	NOUN
ap-951	101	14	x	x	X
ap-951	101	15	dnondiag	dnondiag	PROPN
ap-951	101	16	�	�	PROPN
ap-951	101	17	and	and	CCONJ
ap-951	101	18	the	the	DET
ap-951	101	19	equation	equation	NOUN
ap-951	101	20	�	�	PROPN
ap-951	101	21	tx	tx	PROPN
ap-951	101	22	p	p	PROPN
ap-951	101	23	y	y	PROPN
ap-951	101	24	�	�	PROPN
ap-951	101	25	[	[	PUNCT
ap-951	101	26	,	,	PUNCT
ap-951	101	27	]	]	PUNCT
ap-951	101	28	coincides	coincide	VERB
ap-951	101	29	with	with	ADP
ap-951	101	30	(	(	PUNCT
ap-951	101	31	3.2	3.2	NUM
ap-951	101	32	)	)	PUNCT
ap-951	101	33	.	.	PUNCT
ap-951	102	1	the	the	DET
ap-951	102	2	lax	lax	ADJ
ap-951	102	3	equation	equation	NOUN
ap-951	102	4	produces	produce	VERB
ap-951	102	5	the	the	DET
ap-951	102	6	integrals	integral	NOUN
ap-951	102	7	of	of	ADP
ap-951	102	8	motion	motion	NOUN
ap-951	102	9	i	i	NOUN
ap-951	102	10	m	m	VERB
ap-951	102	11	�	�	PROPN
ap-951	102	12	1	1	NUM
ap-951	102	13	m	m	NOUN
ap-951	102	14	lmtr	lmtr	NOUN
ap-951	102	15	(	(	PUNCT
ap-951	102	16	)	)	PUNCT
ap-951	102	17	,	,	PUNCT
ap-951	102	18	�	�	PROPN
ap-951	102	19	t	t	PROPN
ap-951	102	20	mltr	mltr	NOUN
ap-951	102	21	(	(	PUNCT
ap-951	102	22	)	)	PUNCT
ap-951	102	23	�	�	PROPN
ap-951	102	24	0	0	NUM
ap-951	102	25	,	,	PUNCT
ap-951	102	26	m	m	PROPN
ap-951	102	27	n	n	X
ap-951	102	28	�	�	PROPN
ap-951	102	29	1	1	NUM
ap-951	102	30	2	2	NUM
ap-951	102	31	,	,	PUNCT
ap-951	102	32	,	,	PUNCT
ap-951	102	33	,	,	PUNCT
ap-951	102	34	�	�	PROPN
ap-951	102	35	.	.	PUNCT
ap-951	103	1	(	(	PUNCT
ap-951	103	2	3.7	3.7	NUM
ap-951	103	3	)	)	PUNCT
ap-951	103	4	it	it	PRON
ap-951	103	5	will	will	AUX
ap-951	103	6	be	be	AUX
ap-951	103	7	proved	prove	VERB
ap-951	103	8	later	later	ADV
ap-951	103	9	that	that	SCONJ
ap-951	103	10	they	they	PRON
ap-951	103	11	are	be	AUX
ap-951	103	12	in	in	ADP
ap-951	103	13	involution	involution	NOUN
ap-951	103	14	�	�	PROPN
ap-951	103	15	�	�	PROPN
ap-951	103	16	i	i	PRON
ap-951	103	17	i	i	PROPN
ap-951	103	18	m	m	VERB
ap-951	103	19	n	n	SYM
ap-951	103	20	,	,	PUNCT
ap-951	103	21	�	�	PROPN
ap-951	103	22	0	0	NUM
ap-951	103	23	.	.	PUNCT
ap-951	104	1	in	in	ADP
ap-951	104	2	particular	particular	ADJ
ap-951	104	3	,	,	PUNCT
ap-951	104	4	i	i	PRON
ap-951	104	5	h	h	NOUN
ap-951	104	6	rcm	rcm	PROPN
ap-951	104	7	2	2	NUM
ap-951	104	8	�	�	PROPN
ap-951	104	9	.	.	PUNCT
ap-951	105	1	eventually	eventually	ADV
ap-951	105	2	,	,	PUNCT
ap-951	105	3	we	we	PRON
ap-951	105	4	come	come	VERB
ap-951	105	5	to	to	ADP
ap-951	105	6	the	the	DET
ap-951	105	7	rcms	rcms	PROPN
ap-951	105	8	hierarchy	hierarchy	PROPN
ap-951	105	9	�	�	PROPN
ap-951	105	10	�	�	PROPN
ap-951	105	11	�	�	PROPN
ap-951	106	1	j	j	PROPN
ap-951	107	1	jf	jf	INTJ
ap-951	108	1	i	i	PRON
ap-951	108	2	f	f	PROPN
ap-951	108	3	(	(	PUNCT
ap-951	108	4	,	,	PUNCT
ap-951	108	5	)	)	PUNCT
ap-951	108	6	,	,	PUNCT
ap-951	108	7	(	(	PUNCT
ap-951	108	8	,	,	PUNCT
ap-951	108	9	)	)	PUNCT
ap-951	108	10	v	v	ADP
ap-951	108	11	u	u	PROPN
ap-951	108	12	v	v	NUM
ap-951	108	13	u	u	NOUN
ap-951	108	14	�	�	PROPN
ap-951	108	15	.	.	PUNCT
ap-951	109	1	(	(	PUNCT
ap-951	109	2	3.8	3.8	NUM
ap-951	109	3	)	)	PUNCT
ap-951	109	4	3.2	3.2	NUM
ap-951	109	5	matrix	matrix	NOUN
ap-951	109	6	mechanics	mechanic	NOUN
ap-951	109	7	and	and	CCONJ
ap-951	109	8	rcms	rcms	NOUN
ap-951	109	9	this	this	DET
ap-951	109	10	construction	construction	NOUN
ap-951	109	11	was	be	AUX
ap-951	109	12	proposed	propose	VERB
ap-951	109	13	in	in	ADP
ap-951	109	14	ref	ref	NOUN
ap-951	109	15	.	.	PUNCT
ap-951	110	1	[	[	X
ap-951	110	2	35	35	NUM
ap-951	110	3	,	,	PUNCT
ap-951	110	4	36	36	NUM
ap-951	110	5	]	]	PUNCT
ap-951	110	6	.	.	PUNCT
ap-951	111	1	consider	consider	VERB
ap-951	111	2	a	a	DET
ap-951	111	3	matrix	matrix	NOUN
ap-951	111	4	model	model	NOUN
ap-951	111	5	with	with	ADP
ap-951	111	6	the	the	DET
ap-951	111	7	phase	phase	NOUN
ap-951	111	8	space	space	NOUN
ap-951	111	9	�	�	PROPN
ap-951	111	10	�	�	PROPN
ap-951	111	11	�	�	PROPN
ap-951	111	12	gl	gl	PROPN
ap-951	111	13	gl	gl	PROPN
ap-951	111	14	(	(	PUNCT
ap-951	111	15	,	,	PUNCT
ap-951	111	16	)	)	PUNCT
ap-951	111	17	(	(	PUNCT
ap-951	111	18	,	,	PUNCT
ap-951	111	19	)	)	PUNCT
ap-951	111	20	n	n	CCONJ
ap-951	111	21	n	n	CCONJ
ap-951	111	22	�	�	PROPN
ap-951	111	23	�	�	PROPN
ap-951	111	24	�	�	PROPN
ap-951	111	25	�	�	PROPN
ap-951	111	26	(	(	PUNCT
ap-951	111	27	,	,	PUNCT
ap-951	111	28	)	)	PUNCT
ap-951	111	29	a	a	PRON
ap-951	111	30	,	,	PUNCT
ap-951	111	31	,	,	PUNCT
ap-951	111	32	(	(	PUNCT
ap-951	111	33	,	,	PUNCT
ap-951	111	34	)	)	PUNCT
ap-951	111	35	a	a	DET
ap-951	111	36	n	n	X
ap-951	111	37	�	�	PROPN
ap-951	111	38	gl	gl	PROPN
ap-951	111	39	�	�	PROPN
ap-951	111	40	(	(	PUNCT
ap-951	111	41	these	these	DET
ap-951	111	42	notations	notation	NOUN
ap-951	111	43	will	will	AUX
ap-951	111	44	be	be	AUX
ap-951	111	45	justified	justify	VERB
ap-951	111	46	in	in	ADP
ap-951	111	47	next	next	ADJ
ap-951	111	48	section	section	NOUN
ap-951	111	49	)	)	PUNCT
ap-951	111	50	dim	dim	PROPN
ap-951	111	51	�	�	PROPN
ap-951	111	52	�	�	PROPN
ap-951	111	53	2	2	NUM
ap-951	111	54	2n	2n	NUM
ap-951	111	55	.	.	PUNCT
ap-951	112	1	the	the	DET
ap-951	112	2	symplectic	symplectic	ADJ
ap-951	112	3	form	form	NOUN
ap-951	112	4	on	on	ADP
ap-951	112	5	�	�	PROPN
ap-951	112	6	is	be	AUX
ap-951	112	7	�	�	PROPN
ap-951	112	8	�	�	PROPN
ap-951	112	9	�	�	PROPN
ap-951	112	10	�	�	PROPN
ap-951	112	11	�	�	PROPN
ap-951	112	12	�	�	PROPN
ap-951	112	13	tr	tr	VERB
ap-951	112	14	(	(	PUNCT
ap-951	112	15	)	)	PUNCT
ap-951	112	16	,	,	PUNCT
ap-951	112	17	d	d	X
ap-951	112	18	da	da	PROPN
ap-951	112	19	d	d	PROPN
ap-951	112	20	daj	daj	PROPN
ap-951	112	21	,	,	PUNCT
ap-951	112	22	k	k	PROPN
ap-951	112	23	j	j	PROPN
ap-951	112	24	,	,	PUNCT
ap-951	112	25	k	k	PROPN
ap-951	112	26	j	j	PROPN
ap-951	112	27	k	k	PROPN
ap-951	112	28	.	.	PUNCT
ap-951	113	1	(	(	PUNCT
ap-951	113	2	3.9	3.9	NUM
ap-951	113	3	)	)	PUNCT
ap-951	113	4	the	the	DET
ap-951	113	5	corresponding	correspond	VERB
ap-951	113	6	poisson	poisson	NOUN
ap-951	113	7	brackets	bracket	NOUN
ap-951	113	8	have	have	VERB
ap-951	113	9	the	the	DET
ap-951	113	10	form	form	NOUN
ap-951	113	11	�	�	PROPN
ap-951	113	12	�	�	PROPN
ap-951	113	13	j	j	PROPN
ap-951	113	14	,	,	PUNCT
ap-951	113	15	k	k	PROPN
ap-951	113	16	j	j	PROPN
ap-951	113	17	,	,	PUNCT
ap-951	113	18	k	k	PROPN
ap-951	113	19	ki	ki	PROPN
ap-951	113	20	jla	jla	PROPN
ap-951	113	21	,	,	PUNCT
ap-951	113	22	�	�	PROPN
ap-951	113	23	�	�	PROPN
ap-951	113	24	�	�	PROPN
ap-951	113	25	.	.	PUNCT
ap-951	114	1	choose	choose	VERB
ap-951	114	2	n	n	NUM
ap-951	114	3	commuting	commuting	NOUN
ap-951	114	4	integrals	integral	NOUN
ap-951	114	5	i	i	PRON
ap-951	114	6	m	m	VERB
ap-951	114	7	�	�	PROPN
ap-951	114	8	1	1	NUM
ap-951	114	9	m	m	NOUN
ap-951	114	10	mtr	mtr	NOUN
ap-951	114	11	(	(	PUNCT
ap-951	114	12	)	)	PUNCT
ap-951	114	13	,	,	PUNCT
ap-951	114	14	�	�	PROPN
ap-951	114	15	�	�	PROPN
ap-951	114	16	i	i	PRON
ap-951	114	17	i	i	PROPN
ap-951	114	18	m	m	VERB
ap-951	114	19	n	n	SYM
ap-951	114	20	,	,	PUNCT
ap-951	114	21	�	�	PROPN
ap-951	114	22	0	0	NUM
ap-951	114	23	,	,	PUNCT
ap-951	114	24	m	m	PROPN
ap-951	114	25	n	n	X
ap-951	114	26	�	�	PROPN
ap-951	114	27	1	1	NUM
ap-951	114	28	2	2	NUM
ap-951	114	29	,	,	PUNCT
ap-951	114	30	,	,	PUNCT
ap-951	114	31	,	,	PUNCT
ap-951	114	32	�	�	PROPN
ap-951	114	33	.	.	PUNCT
ap-951	115	1	take	take	VERB
ap-951	115	2	as	as	ADP
ap-951	115	3	a	a	DET
ap-951	115	4	hamiltonian	hamiltonian	ADJ
ap-951	115	5	h	h	NOUN
ap-951	115	6	i	i	PRON
ap-951	115	7	�	�	PROPN
ap-951	116	1	2	2	NUM
ap-951	116	2	.	.	PUNCT
ap-951	117	1	then	then	ADV
ap-951	117	2	we	we	PRON
ap-951	117	3	come	come	VERB
ap-951	117	4	to	to	ADP
ap-951	117	5	the	the	DET
ap-951	117	6	free	free	ADJ
ap-951	117	7	motion	motion	NOUN
ap-951	117	8	on	on	ADP
ap-951	117	9	�	�	PROPN
ap-951	117	10	�	�	PROPN
ap-951	117	11	�	�	PROPN
ap-951	117	12	�	�	PROPN
ap-951	117	13	t	t	PROPN
ap-951	117	14	h	h	PROPN
ap-951	117	15	�	�	PROPN
ap-951	117	16	�	�	PROPN
ap-951	117	17	,	,	PUNCT
ap-951	117	18	0	0	NUM
ap-951	117	19	,	,	PUNCT
ap-951	117	20	(	(	PUNCT
ap-951	117	21	3.10	3.10	NUM
ap-951	117	22	)	)	PUNCT
ap-951	117	23	�	�	PROPN
ap-951	117	24	�	�	PROPN
ap-951	117	25	�	�	PROPN
ap-951	117	26	t	t	PROPN
ap-951	117	27	a	a	DET
ap-951	117	28	h	h	NOUN
ap-951	117	29	a	a	DET
ap-951	117	30	�	�	PROPN
ap-951	117	31	�	�	PROPN
ap-951	117	32	,	,	PUNCT
ap-951	117	33	.	.	PUNCT
ap-951	118	1	(	(	PUNCT
ap-951	118	2	3.11	3.11	NUM
ap-951	118	3	)	)	PUNCT
ap-951	118	4	generally	generally	ADV
ap-951	118	5	,	,	PUNCT
ap-951	118	6	we	we	PRON
ap-951	118	7	have	have	VERB
ap-951	118	8	a	a	DET
ap-951	118	9	free	free	ADJ
ap-951	118	10	matrix	matrix	NOUN
ap-951	118	11	hierarchy	hierarchy	NOUN
ap-951	118	12	�	�	PROPN
ap-951	118	13	j	j	PROPN
ap-951	118	14	�	�	PROPN
ap-951	118	15	0	0	PROPN
ap-951	118	16	,	,	PUNCT
ap-951	118	17	�	�	PROPN
ap-951	118	18	j	j	PROPN
ap-951	118	19	ja	ja	PROPN
ap-951	118	20	�	�	PROPN
ap-951	118	21	�	�	PROPN
ap-951	118	22	�	�	PROPN
ap-951	118	23	,	,	PUNCT
ap-951	118	24	(	(	PUNCT
ap-951	118	25	�	�	PROPN
ap-951	118	26	j	j	PROPN
ap-951	118	27	ji	ji	PROPN
ap-951	118	28	�	�	PROPN
ap-951	118	29	{	{	PUNCT
ap-951	118	30	,	,	PUNCT
ap-951	118	31	}	}	PUNCT
ap-951	118	32	)	)	PUNCT
ap-951	118	33	.	.	PUNCT
ap-951	119	1	3.2.1	3.2.1	NUM
ap-951	119	2	hamiltonian	hamiltonian	ADJ
ap-951	119	3	reduction	reduction	NOUN
ap-951	119	4	for	for	ADP
ap-951	119	5	rcms	rcms	NOUN
ap-951	119	6	the	the	DET
ap-951	119	7	form	form	NOUN
ap-951	119	8	�	�	PROPN
ap-951	119	9	and	and	CCONJ
ap-951	119	10	the	the	DET
ap-951	119	11	integrals	integral	NOUN
ap-951	119	12	i	i	PRON
ap-951	119	13	m	m	VERB
ap-951	119	14	are	be	AUX
ap-951	119	15	invariant	invariant	ADJ
ap-951	119	16	with	with	ADP
ap-951	119	17	resect	resect	NOUN
ap-951	119	18	to	to	ADP
ap-951	119	19	the	the	DET
ap-951	119	20	action	action	NOUN
ap-951	119	21	of	of	ADP
ap-951	119	22	the	the	DET
ap-951	119	23	gauge	gauge	NOUN
ap-951	119	24	group	group	NOUN
ap-951	119	25	�	�	PROPN
ap-951	119	26	�	�	PROPN
ap-951	119	27	gl	gl	PROPN
ap-951	119	28	(	(	PUNCT
ap-951	119	29	,	,	PUNCT
ap-951	119	30	)	)	PUNCT
ap-951	119	31	n	n	PRON
ap-951	119	32	�	�	PROPN
ap-951	119	33	,	,	PUNCT
ap-951	119	34	�	�	PROPN
ap-951	119	35	�	�	PROPN
ap-951	119	36	f	f	PROPN
ap-951	119	37	f1	f1	PROPN
ap-951	119	38	,	,	PUNCT
ap-951	119	39	a	a	DET
ap-951	119	40	f	f	NOUN
ap-951	119	41	a	a	DET
ap-951	119	42	f	f	PROPN
ap-951	119	43	�	�	PROPN
ap-951	119	44	�	�	PROPN
ap-951	119	45	1	1	NUM
ap-951	119	46	,	,	PUNCT
ap-951	119	47	f	f	PROPN
ap-951	119	48	n	n	CCONJ
ap-951	119	49	�	�	PROPN
ap-951	119	50	gl	gl	PROPN
ap-951	119	51	(	(	PUNCT
ap-951	119	52	,	,	PUNCT
ap-951	119	53	)	)	PUNCT
ap-951	119	54	�	�	PROPN
ap-951	119	55	.	.	PUNCT
ap-951	120	1	the	the	DET
ap-951	120	2	action	action	NOUN
ap-951	120	3	of	of	ADP
ap-951	120	4	gauge	gauge	ADJ
ap-951	120	5	lie	lie	NOUN
ap-951	120	6	algebra	algebra	NOUN
ap-951	120	7	lie	lie	VERB
ap-951	120	8	n	n	CCONJ
ap-951	120	9	(	(	PUNCT
ap-951	120	10	)	)	PUNCT
ap-951	120	11	(	(	PUNCT
ap-951	120	12	,	,	PUNCT
ap-951	120	13	)	)	PUNCT
ap-951	120	14	�	�	PROPN
ap-951	120	15	�	�	PROPN
ap-951	120	16	gl	gl	PROPN
ap-951	120	17	�	�	PROPN
ap-951	120	18	is	be	AUX
ap-951	120	19	represented	represent	VERB
ap-951	120	20	by	by	ADP
ap-951	120	21	the	the	DET
ap-951	120	22	vector	vector	NOUN
ap-951	120	23	fields	field	NOUN
ap-951	120	24	v	v	ADP
ap-951	120	25	�	�	PROPN
ap-951	120	26	�	�	PROPN
ap-951	120	27	[	[	PUNCT
ap-951	120	28	,	,	PUNCT
ap-951	120	29	�	�	PROPN
ap-951	120	30	]	]	PUNCT
ap-951	120	31	,	,	PUNCT
ap-951	120	32	v	v	PROPN
ap-951	120	33	�	�	PROPN
ap-951	120	34	a	a	DET
ap-951	120	35	a	a	DET
ap-951	120	36	�	�	PROPN
ap-951	120	37	[	[	PUNCT
ap-951	120	38	,	,	PUNCT
ap-951	120	39	�	�	PROPN
ap-951	120	40	]	]	PUNCT
ap-951	120	41	.	.	PUNCT
ap-951	121	1	(	(	PUNCT
ap-951	121	2	3.13	3.13	NUM
ap-951	121	3	)	)	PUNCT
ap-951	121	4	let	let	VERB
ap-951	121	5	�	�	PROPN
ap-951	121	6	be	be	AUX
ap-951	121	7	the	the	DET
ap-951	121	8	contraction	contraction	NOUN
ap-951	121	9	operator	operator	NOUN
ap-951	121	10	with	with	ADP
ap-951	121	11	respect	respect	NOUN
ap-951	121	12	to	to	ADP
ap-951	121	13	the	the	DET
ap-951	121	14	vector	vector	NOUN
ap-951	121	15	field	field	NOUN
ap-951	121	16	v	v	PROPN
ap-951	121	17	�	�	PROPN
ap-951	121	18	(	(	PUNCT
ap-951	121	19	�	�	PROPN
ap-951	121	20	�	�	PROPN
ap-951	121	21	�	�	PROPN
ap-951	121	22	(	(	PUNCT
ap-951	121	23	,	,	PUNCT
ap-951	121	24	v	v	X
ap-951	121	25	j	j	PROPN
ap-951	121	26	k	k	PROPN
ap-951	121	27	�	�	PROPN
ap-951	121	28	)	)	PUNCT
ap-951	121	29	jk	jk	PROPN
ap-951	121	30	�	�	PROPN
ap-951	121	31	�	�	PROPN
ap-951	121	32	jk	jk	PROPN
ap-951	121	33	)	)	PUNCT
ap-951	121	34	and	and	CCONJ
ap-951	121	35	�	�	PROPN
ap-951	121	36	�	�	PROPN
ap-951	121	37	=	=	SYM
ap-951	121	38	d	d	PROPN
ap-951	121	39	�	�	PROPN
ap-951	121	40	+	+	PROPN
ap-951	121	41	�	�	PROPN
ap-951	121	42	d	d	NOUN
ap-951	121	43	is	be	AUX
ap-951	121	44	the	the	DET
ap-951	121	45	corresponding	correspond	VERB
ap-951	121	46	lie	lie	NOUN
ap-951	121	47	derivative	derivative	NOUN
ap-951	121	48	.	.	PUNCT
ap-951	122	1	the	the	DET
ap-951	122	2	invariance	invariance	NOUN
ap-951	122	3	of	of	ADP
ap-951	122	4	the	the	DET
ap-951	122	5	symplectic	symplectic	ADJ
ap-951	122	6	form	form	NOUN
ap-951	122	7	and	and	CCONJ
ap-951	122	8	the	the	DET
ap-951	122	9	integrals	integral	NOUN
ap-951	122	10	means	mean	VERB
ap-951	122	11	that	that	SCONJ
ap-951	122	12	�	�	PROPN
ap-951	122	13	�	�	PROPN
ap-951	122	14	�	�	PROPN
ap-951	122	15	�	�	PROPN
ap-951	122	16	0	0	NUM
ap-951	122	17	,	,	PUNCT
ap-951	122	18	�	�	PROPN
ap-951	122	19	�	�	PROPN
ap-951	122	20	i	i	PROPN
ap-951	122	21	m	m	PROPN
ap-951	122	22	�	�	PROPN
ap-951	122	23	0	0	NUM
ap-951	122	24	.	.	PUNCT
ap-951	123	1	since	since	SCONJ
ap-951	123	2	the	the	DET
ap-951	123	3	symplectic	symplectic	ADJ
ap-951	123	4	form	form	NOUN
ap-951	123	5	is	be	AUX
ap-951	123	6	closed	close	VERB
ap-951	123	7	d	d	PROPN
ap-951	123	8	�	�	PROPN
ap-951	123	9	�	�	PROPN
ap-951	123	10	0	0	NUM
ap-951	123	11	,	,	PUNCT
ap-951	123	12	we	we	PRON
ap-951	123	13	have	have	VERB
ap-951	123	14	d	d	PROPN
ap-951	123	15	�	�	PROPN
ap-951	123	16	�	�	PROPN
ap-951	123	17	�	�	PROPN
ap-951	123	18	0	0	NUM
ap-951	123	19	.	.	PUNCT
ap-951	124	1	then	then	ADV
ap-951	124	2	on	on	ADP
ap-951	124	3	the	the	DET
ap-951	124	4	affine	affine	NOUN
ap-951	124	5	space	space	NOUN
ap-951	124	6	�	�	PROPN
ap-951	124	7	the	the	DET
ap-951	124	8	one	one	NUM
ap-951	124	9	-	-	PUNCT
ap-951	124	10	form	form	NOUN
ap-951	124	11	�	�	PROPN
ap-951	124	12	�	�	PROPN
ap-951	124	13	is	be	AUX
ap-951	124	14	exact	exact	ADJ
ap-951	124	15	�	�	PROPN
ap-951	124	16	�	�	PROPN
ap-951	124	17	�	�	PROPN
ap-951	124	18	df	df	PROPN
ap-951	124	19	a	a	PROPN
ap-951	124	20	(	(	PUNCT
ap-951	124	21	,	,	PUNCT
ap-951	124	22	,	,	PUNCT
ap-951	124	23	�	�	PROPN
ap-951	124	24	)	)	PUNCT
ap-951	124	25	.	.	PUNCT
ap-951	125	1	(	(	PUNCT
ap-951	125	2	3.14	3.14	NUM
ap-951	125	3	)	)	PUNCT
ap-951	125	4	the	the	DET
ap-951	125	5	function	function	NOUN
ap-951	125	6	f	f	PROPN
ap-951	125	7	a	a	X
ap-951	125	8	(	(	PUNCT
ap-951	125	9	,	,	PUNCT
ap-951	125	10	,	,	PUNCT
ap-951	125	11	�	�	PROPN
ap-951	125	12	)	)	PUNCT
ap-951	125	13	is	be	AUX
ap-951	125	14	called	call	VERB
ap-951	125	15	the	the	DET
ap-951	125	16	momentum	momentum	NOUN
ap-951	125	17	hamiltonian	hamiltonian	NOUN
ap-951	125	18	.	.	PUNCT
ap-951	126	1	the	the	DET
ap-951	126	2	poisson	poisson	NOUN
ap-951	126	3	brackets	bracket	NOUN
ap-951	126	4	with	with	ADP
ap-951	126	5	the	the	DET
ap-951	126	6	momentum	momentum	NOUN
ap-951	126	7	hamiltonian	hamiltonian	NOUN
ap-951	126	8	generate	generate	VERB
ap-951	126	9	the	the	DET
ap-951	126	10	gauge	gauge	ADJ
ap-951	126	11	transformations	transformation	NOUN
ap-951	126	12	:	:	PUNCT
ap-951	126	13	�	�	PROPN
ap-951	126	14	�	�	PROPN
ap-951	126	15	f	f	PROPN
ap-951	126	16	f	f	PROPN
ap-951	126	17	a	a	PROPN
ap-951	126	18	,	,	PUNCT
ap-951	126	19	(	(	PUNCT
ap-951	126	20	,	,	PUNCT
ap-951	126	21	)	)	PUNCT
ap-951	126	22	�	�	PROPN
ap-951	126	23	�	�	PROPN
ap-951	126	24	�	�	PROPN
ap-951	126	25	f	f	PROPN
ap-951	126	26	a	a	PROPN
ap-951	126	27	(	(	PUNCT
ap-951	126	28	,	,	PUNCT
ap-951	126	29	)	)	PUNCT
ap-951	126	30	.	.	PUNCT
ap-951	127	1	the	the	DET
ap-951	127	2	explicit	explicit	ADJ
ap-951	127	3	form	form	NOUN
ap-951	127	4	of	of	ADP
ap-951	127	5	the	the	DET
ap-951	127	6	momentum	momentum	NOUN
ap-951	127	7	hamiltonian	hamiltonian	NOUN
ap-951	127	8	is	be	AUX
ap-951	127	9	f	f	PROPN
ap-951	127	10	a	a	PROPN
ap-951	127	11	(	(	PUNCT
ap-951	127	12	,	,	PUNCT
ap-951	127	13	,	,	PUNCT
ap-951	127	14	�	�	PROPN
ap-951	127	15	)	)	PUNCT
ap-951	127	16	�	�	PROPN
ap-951	127	17	tr	tr	VERB
ap-951	127	18	(	(	PUNCT
ap-951	127	19	�	�	PROPN
ap-951	127	20	[	[	PUNCT
ap-951	127	21	,	,	PUNCT
ap-951	127	22	a	a	DET
ap-951	127	23	]	]	X
ap-951	127	24	)	)	PUNCT
ap-951	127	25	.	.	PUNCT
ap-951	128	1	define	define	VERB
ap-951	128	2	the	the	DET
ap-951	128	3	moment	moment	NOUN
ap-951	128	4	map	map	NOUN
ap-951	128	5	�	�	PROPN
ap-951	128	6	:	:	PUNCT
ap-951	128	7	*	*	PUNCT
ap-951	128	8	(	(	PUNCT
ap-951	128	9	)	)	PUNCT
ap-951	128	10	~	~	PUNCT
ap-951	128	11	(	(	PUNCT
ap-951	128	12	,	,	PUNCT
ap-951	128	13	)	)	PUNCT
ap-951	128	14	�	�	PROPN
ap-951	128	15	�	�	PROPN
ap-951	128	16	lie	lie	NOUN
ap-951	128	17	gauge	gauge	NOUN
ap-951	128	18	group	group	NOUN
ap-951	128	19	ngl	ngl	PROPN
ap-951	128	20	�	�	PROPN
ap-951	128	21	�	�	PROPN
ap-951	128	22	�	�	PROPN
ap-951	128	23	�	�	PROPN
ap-951	128	24	(	(	PUNCT
ap-951	128	25	,	,	PUNCT
ap-951	128	26	)	)	PUNCT
ap-951	128	27	,	,	PUNCT
ap-951	128	28	a	a	DET
ap-951	128	29	a	a	DET
ap-951	128	30	�	�	PROPN
ap-951	128	31	,	,	PUNCT
ap-951	128	32	�	�	PROPN
ap-951	128	33	�	�	PROPN
ap-951	128	34	(	(	PUNCT
ap-951	128	35	,	,	PUNCT
ap-951	128	36	)	)	PUNCT
ap-951	128	37	,	,	PUNCT
ap-951	128	38	a	a	DET
ap-951	128	39	a	a	DET
ap-951	128	40	�	�	PROPN
ap-951	128	41	.	.	PUNCT
ap-951	129	1	(	(	PUNCT
ap-951	129	2	3.15	3.15	NUM
ap-951	129	3	)	)	PUNCT
ap-951	129	4	let	let	VERB
ap-951	129	5	us	we	PRON
ap-951	129	6	fix	fix	VERB
ap-951	129	7	its	its	PRON
ap-951	129	8	value	value	NOUN
ap-951	129	9	as	as	SCONJ
ap-951	129	10	�	�	PROPN
ap-951	129	11	�	�	PROPN
ap-951	129	12	�	�	PROPN
ap-951	129	13	,	,	PUNCT
ap-951	129	14	a	a	DET
ap-951	129	15	j	j	PROPN
ap-951	129	16	�	�	PROPN
ap-951	129	17	,	,	PUNCT
ap-951	129	18	(	(	PUNCT
ap-951	129	19	3.16	3.16	NUM
ap-951	129	20	)	)	PUNCT
ap-951	129	21	j	j	PROPN
ap-951	129	22	�	�	PROPN
ap-951	129	23	�	�	PROPN
ap-951	129	24	�	�	PROPN
ap-951	129	25	�	�	PROPN
ap-951	129	26	�	�	PROPN
ap-951	129	27	�	�	PROPN
ap-951	129	28	�	�	PROPN
ap-951	129	29	�	�	PROPN
ap-951	129	30	�	�	PROPN
ap-951	129	31	�	�	PROPN
ap-951	129	32	�	�	PROPN
ap-951	129	33	�	�	PROPN
ap-951	129	34	�	�	PROPN
ap-951	129	35	0	0	NUM
ap-951	129	36	1	1	NUM
ap-951	129	37	1	1	NUM
ap-951	129	38	1	1	NUM
ap-951	129	39	0	0	NUM
ap-951	129	40	1	1	NUM
ap-951	129	41	1	1	NUM
ap-951	129	42	1	1	NUM
ap-951	129	43	1	1	NUM
ap-951	129	44	0	0	NUM
ap-951	129	45	�	�	PROPN
ap-951	129	46	�	�	PROPN
ap-951	129	47	�	�	PROPN
ap-951	129	48	�	�	PROPN
ap-951	129	49	�	�	PROPN
ap-951	129	50	�	�	PROPN
ap-951	129	51	�	�	PROPN
ap-951	129	52	�	�	PROPN
ap-951	129	53	�	�	PROPN
ap-951	129	54	�	�	PROPN
ap-951	129	55	.	.	PUNCT
ap-951	130	1	(	(	PUNCT
ap-951	130	2	3.17	3.17	NUM
ap-951	130	3	)	)	PUNCT
ap-951	130	4	it	it	PRON
ap-951	130	5	follows	follow	VERB
ap-951	130	6	from	from	ADP
ap-951	130	7	the	the	DET
ap-951	130	8	definition	definition	NOUN
ap-951	130	9	of	of	ADP
ap-951	130	10	the	the	DET
ap-951	130	11	moment	moment	NOUN
ap-951	130	12	map	map	NOUN
ap-951	130	13	that	that	SCONJ
ap-951	130	14	(	(	PUNCT
ap-951	130	15	3.16	3.16	NUM
ap-951	130	16	)	)	PUNCT
ap-951	130	17	is	be	AUX
ap-951	130	18	the	the	DET
ap-951	130	19	first	first	ADJ
ap-951	130	20	class	class	NOUN
ap-951	130	21	constraints	constraint	NOUN
ap-951	130	22	.	.	PUNCT
ap-951	131	1	in	in	ADP
ap-951	131	2	particular	particular	ADJ
ap-951	131	3	,	,	PUNCT
ap-951	131	4	�	�	PROPN
ap-951	131	5	f	f	PROPN
ap-951	131	6	a	a	PROPN
ap-951	131	7	(	(	PUNCT
ap-951	131	8	,	,	PUNCT
ap-951	131	9	,	,	PUNCT
ap-951	131	10	�	�	PROPN
ap-951	131	11	)	)	PUNCT
ap-951	131	12	,	,	PUNCT
ap-951	131	13	f	f	PROPN
ap-951	131	14	a	a	X
ap-951	131	15	(	(	PUNCT
ap-951	131	16	,	,	PUNCT
ap-951	131	17	,	,	PUNCT
ap-951	131	18	�	�	PROPN
ap-951	131	19	'	'	PART
ap-951	131	20	�	�	PROPN
ap-951	131	21	)	)	PUNCT
ap-951	131	22	(	(	PUNCT
ap-951	131	23	,	,	PUNCT
ap-951	131	24	,	,	PUNCT
ap-951	131	25	�	�	PROPN
ap-951	131	26	f	f	PROPN
ap-951	131	27	a	a	DET
ap-951	131	28	[	[	X
ap-951	131	29	�	�	PROPN
ap-951	131	30	,	,	PUNCT
ap-951	131	31	�	�	PROPN
ap-951	131	32	'	'	PUNCT
ap-951	131	33	]	]	PUNCT
ap-951	131	34	)	)	PUNCT
ap-951	131	35	.	.	PUNCT
ap-951	132	1	note	note	VERB
ap-951	132	2	,	,	PUNCT
ap-951	132	3	that	that	DET
ap-951	132	4	matrix	matrix	NOUN
ap-951	132	5	j	j	NOUN
ap-951	132	6	is	be	AUX
ap-951	132	7	degenerate	degenerate	ADJ
ap-951	132	8	and	and	CCONJ
ap-951	132	9	is	be	AUX
ap-951	132	10	conjugated	conjugate	VERB
ap-951	132	11	to	to	ADP
ap-951	132	12	the	the	DET
ap-951	132	13	diagonal	diagonal	ADJ
ap-951	132	14	matrix	matrix	NOUN
ap-951	132	15	diag	diag	NOUN
ap-951	132	16	(	(	PUNCT
ap-951	132	17	,	,	PUNCT
ap-951	132	18	,	,	PUNCT
ap-951	132	19	)	)	PUNCT
ap-951	132	20	n	n	CCONJ
ap-951	132	21	�	�	PROPN
ap-951	132	22	�	�	PROPN
ap-951	132	23	�	�	PROPN
ap-951	132	24	1	1	NUM
ap-951	132	25	1	1	NUM
ap-951	132	26	1	1	NUM
ap-951	132	27	�	�	PROPN
ap-951	132	28	.	.	PUNCT
ap-951	133	1	let	let	VERB
ap-951	133	2	�	�	PROPN
ap-951	133	3	0	0	NUM
ap-951	133	4	be	be	AUX
ap-951	133	5	a	a	DET
ap-951	133	6	subgroup	subgroup	NOUN
ap-951	133	7	of	of	ADP
ap-951	133	8	the	the	DET
ap-951	133	9	gauge	gauge	NOUN
ap-951	133	10	group	group	NOUN
ap-951	133	11	preserving	preserve	VERB
ap-951	133	12	the	the	DET
ap-951	133	13	moment	moment	NOUN
ap-951	133	14	value	value	NOUN
ap-951	133	15	�	�	PROPN
ap-951	133	16	�	�	PROPN
ap-951	133	17	�	�	PROPN
ap-951	133	18	�	�	PROPN
ap-951	133	19	0	0	NUM
ap-951	133	20	1	1	NUM
ap-951	133	21	�	�	PROPN
ap-951	133	22	�	�	PROPN
ap-951	133	23	�	�	PROPN
ap-951	133	24	�	�	PROPN
ap-951	133	25	f	f	PROPN
ap-951	133	26	f	f	PROPN
ap-951	133	27	jf	jf	PROPN
ap-951	133	28	j	j	PROPN
ap-951	133	29	,	,	PUNCT
ap-951	133	30	(	(	PUNCT
ap-951	133	31	dim	dim	PROPN
ap-951	133	32	(	(	PUNCT
ap-951	133	33	)	)	PUNCT
ap-951	133	34	(	(	PUNCT
ap-951	133	35	)	)	PUNCT
ap-951	133	36	)	)	PUNCT
ap-951	133	37	�	�	SYM
ap-951	133	38	0	0	NUM
ap-951	133	39	21	21	NUM
ap-951	133	40	1	1	NUM
ap-951	133	41	�	�	PROPN
ap-951	133	42	�	�	PROPN
ap-951	133	43	n	n	PROPN
ap-951	133	44	.	.	PUNCT
ap-951	134	1	in	in	ADP
ap-951	134	2	other	other	ADJ
ap-951	134	3	words	word	NOUN
ap-951	134	4	�	�	PROPN
ap-951	134	5	0	0	NUM
ap-951	134	6	preserves	preserve	VERB
ap-951	134	7	the	the	DET
ap-951	134	8	surface	surface	NOUN
ap-951	134	9	in	in	ADP
ap-951	134	10	�	�	PROPN
ap-951	134	11	�	�	PROPN
ap-951	134	12	�	�	PROPN
ap-951	134	13	f	f	PROPN
ap-951	134	14	j	j	PROPN
ap-951	134	15	a	a	DET
ap-951	134	16	j	j	PROPN
ap-951	134	17	�	�	PROPN
ap-951	134	18	�	�	PROPN
ap-951	134	19	�	�	PROPN
ap-951	134	20	1	1	NUM
ap-951	134	21	(	(	PUNCT
ap-951	134	22	)	)	PUNCT
ap-951	134	23	[	[	PUNCT
ap-951	134	24	,	,	PUNCT
ap-951	134	25	]	]	PUNCT
ap-951	134	26	.	.	PUNCT
ap-951	135	1	(	(	PUNCT
ap-951	135	2	3.18	3.18	NUM
ap-951	135	3	)	)	PUNCT
ap-951	135	4	let	let	VERB
ap-951	135	5	us	we	PRON
ap-951	135	6	fix	fix	VERB
ap-951	135	7	a	a	DET
ap-951	135	8	gauge	gauge	NOUN
ap-951	135	9	on	on	ADP
ap-951	135	10	this	this	DET
ap-951	135	11	surface	surface	NOUN
ap-951	135	12	with	with	ADP
ap-951	135	13	respect	respect	NOUN
ap-951	135	14	to	to	ADP
ap-951	135	15	the	the	DET
ap-951	135	16	�	�	PROPN
ap-951	135	17	0	0	NUM
ap-951	135	18	action	action	NOUN
ap-951	135	19	.	.	PUNCT
ap-951	136	1	it	it	PRON
ap-951	136	2	can	can	AUX
ap-951	136	3	be	be	AUX
ap-951	136	4	proved	prove	VERB
ap-951	136	5	that	that	SCONJ
ap-951	136	6	generic	generic	ADJ
ap-951	136	7	matrices	matrix	NOUN
ap-951	136	8	a	a	PRON
ap-951	136	9	can	can	AUX
ap-951	136	10	be	be	AUX
ap-951	136	11	diagonalized	diagonalize	VERB
ap-951	136	12	by	by	ADP
ap-951	136	13	�	�	PROPN
ap-951	136	14	0	0	NUM
ap-951	136	15	f	f	PROPN
ap-951	136	16	af	af	PROPN
ap-951	136	17	u	u	PROPN
ap-951	136	18	un	un	PROPN
ap-951	136	19	�	�	PROPN
ap-951	136	20	�	�	PROPN
ap-951	136	21	�	�	PROPN
ap-951	136	22	1	1	NUM
ap-951	136	23	1u	1u	NUM
ap-951	136	24	diag	diag	NOUN
ap-951	136	25	(	(	PUNCT
ap-951	136	26	,	,	PUNCT
ap-951	136	27	,	,	PUNCT
ap-951	136	28	)	)	PUNCT
ap-951	136	29	�	�	PROPN
ap-951	136	30	,	,	PUNCT
ap-951	136	31	f	f	PROPN
ap-951	136	32	�	�	PROPN
ap-951	136	33	�	�	PROPN
ap-951	136	34	0	0	NUM
ap-951	136	35	.	.	PUNCT
ap-951	137	1	(	(	PUNCT
ap-951	137	2	3.19	3.19	NUM
ap-951	137	3	)	)	PUNCT
ap-951	137	4	©	©	PROPN
ap-951	137	5	czech	czech	PROPN
ap-951	137	6	technical	technical	PROPN
ap-951	137	7	university	university	PROPN
ap-951	137	8	publishing	publishing	NOUN
ap-951	137	9	house	house	NOUN
ap-951	137	10	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-951	137	11	7	7	NUM
ap-951	137	12	acta	acta	PROPN
ap-951	137	13	polytechnica	polytechnica	PROPN
ap-951	137	14	vol	vol	NOUN
ap-951	137	15	.	.	PUNCT
ap-951	138	1	48	48	NUM
ap-951	138	2	no	no	NOUN
ap-951	138	3	.	.	PUNCT
ap-951	139	1	2/2008	2/2008	NOUN
ap-951	139	2	in	in	ADP
ap-951	139	3	other	other	ADJ
ap-951	139	4	words	word	NOUN
ap-951	139	5	,	,	PUNCT
ap-951	139	6	we	we	PRON
ap-951	139	7	have	have	VERB
ap-951	139	8	two	two	NUM
ap-951	139	9	conditions	condition	NOUN
ap-951	139	10	–	–	PUNCT
ap-951	139	11	first	first	ADJ
ap-951	139	12	class	class	NOUN
ap-951	139	13	constraints	constraint	NOUN
ap-951	139	14	(	(	PUNCT
ap-951	139	15	3.16	3.16	NUM
ap-951	139	16	)	)	PUNCT
ap-951	139	17	and	and	CCONJ
ap-951	139	18	gauge	gauge	NOUN
ap-951	139	19	fixing	fixing	NOUN
ap-951	139	20	(	(	PUNCT
ap-951	139	21	3.19	3.19	NUM
ap-951	139	22	)	)	PUNCT
ap-951	139	23	.	.	PUNCT
ap-951	140	1	the	the	DET
ap-951	140	2	reduced	reduce	VERB
ap-951	140	3	phase	phase	NOUN
ap-951	140	4	space	space	NOUN
ap-951	140	5	�	�	NOUN
ap-951	140	6	red	red	NOUN
ap-951	140	7	is	be	AUX
ap-951	140	8	the	the	DET
ap-951	140	9	result	result	NOUN
ap-951	140	10	of	of	ADP
ap-951	140	11	putting	put	VERB
ap-951	140	12	both	both	DET
ap-951	140	13	types	type	NOUN
ap-951	140	14	of	of	ADP
ap-951	140	15	constraints	constraint	NOUN
ap-951	140	16	�	�	PROPN
ap-951	140	17	�	�	PROPN
ap-951	140	18	�	�	PROPN
ap-951	140	19	�	�	PROPN
ap-951	140	20	red	red	PROPN
ap-951	140	21	f	f	PROPN
ap-951	140	22	j	j	PROPN
ap-951	140	23	�	�	PROPN
ap-951	140	24	�	�	PROPN
ap-951	140	25	�	�	PROPN
ap-951	140	26	/	/	SYM
ap-951	140	27	/	/	SYM
ap-951	140	28	(	(	PUNCT
ap-951	140	29	)	)	PUNCT
ap-951	140	30	/1	/1	PROPN
ap-951	140	31	0	0	PUNCT
ap-951	140	32	.	.	PUNCT
ap-951	141	1	it	it	PRON
ap-951	141	2	has	have	AUX
ap-951	141	3	dimension	dimension	NOUN
ap-951	141	4	dim	dim	NOUN
ap-951	141	5	(	(	PUNCT
ap-951	141	6	)	)	PUNCT
ap-951	141	7	dim	dim	NOUN
ap-951	141	8	(	(	PUNCT
ap-951	141	9	)	)	PUNCT
ap-951	141	10	dim	dim	NOUN
ap-951	141	11	(	(	PUNCT
ap-951	141	12	)	)	PUNCT
ap-951	141	13	dim	dim	NOUN
ap-951	141	14	(	(	PUNCT
ap-951	141	15	)	)	PUNCT
ap-951	141	16	(	(	PUNCT
ap-951	141	17	)	)	PUNCT
ap-951	141	18	�	�	PROPN
ap-951	141	19	�	�	PROPN
ap-951	141	20	�	�	PROPN
ap-951	141	21	�	�	PROPN
ap-951	141	22	red	red	PROPN
ap-951	141	23	n	n	CCONJ
ap-951	141	24	n	n	CCONJ
ap-951	141	25	n	n	CCONJ
ap-951	141	26	n	n	CCONJ
ap-951	141	27	�	�	PROPN
ap-951	141	28	�	�	PROPN
ap-951	141	29	�	�	PROPN
ap-951	141	30	�	�	PROPN
ap-951	141	31	�	�	PROPN
ap-951	141	32	�	�	PROPN
ap-951	141	33	�	�	PROPN
ap-951	141	34	�	�	PROPN
ap-951	141	35	0	0	NUM
ap-951	141	36	2	2	NUM
ap-951	141	37	2	2	NUM
ap-951	141	38	2	2	NUM
ap-951	141	39	12	12	NUM
ap-951	141	40	2	2	NUM
ap-951	141	41	2	2	NUM
ap-951	141	42	1	1	NUM
ap-951	141	43	�	�	PROPN
ap-951	141	44	�	�	PROPN
ap-951	141	45	�	�	PROPN
ap-951	141	46	let	let	VERB
ap-951	141	47	us	we	PRON
ap-951	141	48	prove	prove	VERB
ap-951	141	49	that	that	SCONJ
ap-951	141	50	�	�	PROPN
ap-951	141	51	�	�	PROPN
ap-951	141	52	red	red	PROPN
ap-951	141	53	rcm	rcm	PROPN
ap-951	141	54	�	�	AUX
ap-951	141	55	and	and	CCONJ
ap-951	141	56	that	that	SCONJ
ap-951	141	57	the	the	DET
ap-951	141	58	hierarchy	hierarchy	NOUN
ap-951	141	59	(	(	PUNCT
ap-951	141	60	3.12	3.12	NUM
ap-951	141	61	)	)	PUNCT
ap-951	141	62	being	be	AUX
ap-951	141	63	restricted	restrict	VERB
ap-951	141	64	to	to	ADP
ap-951	141	65	�	�	PROPN
ap-951	141	66	rcm	rcm	PROPN
ap-951	141	67	coincides	coincide	VERB
ap-951	141	68	with	with	ADP
ap-951	141	69	the	the	DET
ap-951	141	70	rcms	rcms	PROPN
ap-951	141	71	hierarchy	hierarchy	NOUN
ap-951	141	72	(	(	PUNCT
ap-951	141	73	3.8	3.8	NUM
ap-951	141	74	)	)	PUNCT
ap-951	141	75	.	.	PUNCT
ap-951	142	1	let	let	VERB
ap-951	142	2	f	f	PROPN
ap-951	142	3	�	�	PROPN
ap-951	142	4	�	�	PROPN
ap-951	142	5	0	0	PROPN
ap-951	142	6	diagonalize	diagonalize	NOUN
ap-951	142	7	a	a	DET
ap-951	142	8	in	in	ADP
ap-951	142	9	(	(	PUNCT
ap-951	142	10	3.19	3.19	NUM
ap-951	142	11	)	)	PUNCT
ap-951	142	12	.	.	PUNCT
ap-951	143	1	define	define	VERB
ap-951	143	2	l	l	PROPN
ap-951	143	3	f	f	PROPN
ap-951	143	4	f	f	X
ap-951	143	5	�	�	PROPN
ap-951	143	6	�	�	PROPN
ap-951	143	7	1	1	NUM
ap-951	143	8	(	(	PUNCT
ap-951	143	9	3.20	3.20	NUM
ap-951	143	10	)	)	PUNCT
ap-951	143	11	then	then	ADV
ap-951	143	12	it	it	PRON
ap-951	143	13	follows	follow	VERB
ap-951	143	14	from	from	ADP
ap-951	143	15	(	(	PUNCT
ap-951	143	16	3.10	3.10	NUM
ap-951	143	17	)	)	PUNCT
ap-951	143	18	that	that	PRON
ap-951	143	19	l	l	NOUN
ap-951	143	20	satisfies	satisfy	VERB
ap-951	143	21	the	the	DET
ap-951	143	22	lax	lax	ADJ
ap-951	143	23	equation	equation	NOUN
ap-951	143	24	�	�	PROPN
ap-951	143	25	�	�	PROPN
ap-951	143	26	t	t	PROPN
ap-951	143	27	tl	tl	PROPN
ap-951	143	28	l	l	PROPN
ap-951	143	29	m	m	PROPN
ap-951	143	30	�	�	PROPN
ap-951	143	31	�	�	PROPN
ap-951	143	32	�	�	PROPN
ap-951	143	33	0	0	PROPN
ap-951	143	34	[	[	PUNCT
ap-951	143	35	,	,	PUNCT
ap-951	143	36	]	]	X
ap-951	143	37	,	,	PUNCT
ap-951	143	38	(	(	PUNCT
ap-951	143	39	m	m	NOUN
ap-951	143	40	f	f	PROPN
ap-951	143	41	ft	ft	PROPN
ap-951	143	42	�	�	PROPN
ap-951	143	43	�	�	PROPN
ap-951	143	44	�	�	PROPN
ap-951	143	45	1	1	NUM
ap-951	143	46	�	�	PROPN
ap-951	143	47	)	)	PUNCT
ap-951	143	48	.	.	PUNCT
ap-951	144	1	the	the	DET
ap-951	144	2	moment	moment	NOUN
ap-951	144	3	constraints	constraint	NOUN
ap-951	144	4	(	(	PUNCT
ap-951	144	5	3.18	3.18	NUM
ap-951	144	6	)	)	PUNCT
ap-951	144	7	allow	allow	VERB
ap-951	144	8	one	one	PRON
ap-951	144	9	to	to	PART
ap-951	144	10	find	find	VERB
ap-951	144	11	the	the	DET
ap-951	144	12	off	off	ADV
ap-951	144	13	-	-	PUNCT
ap-951	144	14	diagonal	diagonal	ADJ
ap-951	144	15	part	part	NOUN
ap-951	144	16	of	of	ADP
ap-951	144	17	l.	l.	NOUN
ap-951	144	18	evidently	evidently	ADV
ap-951	144	19	,	,	PUNCT
ap-951	144	20	it	it	PRON
ap-951	144	21	coincides	coincide	VERB
ap-951	144	22	with	with	ADP
ap-951	144	23	x	x	PUNCT
ap-951	144	24	(	(	PUNCT
ap-951	144	25	3.5	3.5	NUM
ap-951	144	26	)	)	PUNCT
ap-951	144	27	.	.	PUNCT
ap-951	145	1	the	the	DET
ap-951	145	2	diagonal	diagonal	ADJ
ap-951	145	3	elements	element	NOUN
ap-951	145	4	of	of	ADP
ap-951	145	5	l	l	NOUN
ap-951	145	6	are	be	AUX
ap-951	145	7	free	free	ADJ
ap-951	145	8	parameters	parameter	NOUN
ap-951	145	9	.	.	PUNCT
ap-951	146	1	in	in	ADP
ap-951	146	2	a	a	DET
ap-951	146	3	similar	similar	ADJ
ap-951	146	4	way	way	NOUN
ap-951	146	5	,	,	PUNCT
ap-951	146	6	the	the	DET
ap-951	146	7	off	off	ADV
ap-951	146	8	-	-	PUNCT
ap-951	146	9	diagonal	diagonal	ADJ
ap-951	146	10	part	part	NOUN
ap-951	146	11	y	y	PROPN
ap-951	146	12	(	(	PUNCT
ap-951	146	13	3.6	3.6	NUM
ap-951	146	14	)	)	PUNCT
ap-951	146	15	of	of	ADP
ap-951	146	16	m	m	PROPN
ap-951	146	17	can	can	AUX
ap-951	146	18	be	be	AUX
ap-951	146	19	derived	derive	VERB
ap-951	146	20	from	from	ADP
ap-951	146	21	the	the	DET
ap-951	146	22	equation	equation	NOUN
ap-951	146	23	of	of	ADP
ap-951	146	24	motion	motion	NOUN
ap-951	146	25	for	for	ADP
ap-951	146	26	a	a	DET
ap-951	146	27	(	(	PUNCT
ap-951	146	28	3.11	3.11	NUM
ap-951	146	29	)	)	PUNCT
ap-951	146	30	.	.	PUNCT
ap-951	147	1	thereby	thereby	ADV
ap-951	147	2	,	,	PUNCT
ap-951	147	3	we	we	PRON
ap-951	147	4	come	come	VERB
ap-951	147	5	to	to	ADP
ap-951	147	6	the	the	DET
ap-951	147	7	lax	lax	ADJ
ap-951	147	8	form	form	NOUN
ap-951	147	9	of	of	ADP
ap-951	147	10	the	the	DET
ap-951	147	11	equations	equation	NOUN
ap-951	147	12	of	of	ADP
ap-951	147	13	motion	motion	NOUN
ap-951	147	14	for	for	ADP
ap-951	147	15	rcms	rcms	NOUN
ap-951	147	16	.	.	PUNCT
ap-951	148	1	since	since	SCONJ
ap-951	148	2	�	�	PROPN
ap-951	148	3	l	l	PROPN
ap-951	148	4	and	and	CCONJ
ap-951	148	5	a	a	DET
ap-951	148	6	�	�	PROPN
ap-951	148	7	u	u	PROPN
ap-951	148	8	,	,	PUNCT
ap-951	148	9	the	the	DET
ap-951	148	10	symplectic	symplectic	ADJ
ap-951	148	11	form	form	NOUN
ap-951	148	12	�	�	PROPN
ap-951	148	13	(	(	PUNCT
ap-951	148	14	3.9	3.9	NUM
ap-951	148	15	)	)	PUNCT
ap-951	148	16	coincides	coincide	VERB
ap-951	148	17	on	on	ADP
ap-951	148	18	�	�	PROPN
ap-951	148	19	rcm	rcm	PROPN
ap-951	148	20	with	with	ADP
ap-951	148	21	�	�	PROPN
ap-951	148	22	rcm	rcm	PROPN
ap-951	148	23	(	(	PUNCT
ap-951	148	24	3.1	3.1	NUM
ap-951	148	25	)	)	PUNCT
ap-951	148	26	.	.	PUNCT
ap-951	149	1	it	it	PRON
ap-951	149	2	follows	follow	VERB
ap-951	149	3	from	from	ADP
ap-951	149	4	(	(	PUNCT
ap-951	149	5	3.20	3.20	NUM
ap-951	149	6	)	)	PUNCT
ap-951	149	7	that	that	SCONJ
ap-951	149	8	the	the	DET
ap-951	149	9	integrals	integral	NOUN
ap-951	149	10	(	(	PUNCT
ap-951	149	11	3.7	3.7	NUM
ap-951	149	12	)	)	PUNCT
ap-951	149	13	poisson	poisson	PROPN
ap-951	149	14	commute	commute	NOUN
ap-951	149	15	.	.	PUNCT
ap-951	150	1	therefore	therefore	ADV
ap-951	150	2	,	,	PUNCT
ap-951	150	3	we	we	PRON
ap-951	150	4	obtain	obtain	VERB
ap-951	150	5	rcms	rcms	NOUN
ap-951	150	6	hierarchy	hierarchy	NOUN
ap-951	150	7	.	.	PUNCT
ap-951	151	1	the	the	DET
ap-951	151	2	same	same	ADJ
ap-951	151	3	system	system	NOUN
ap-951	151	4	can	can	AUX
ap-951	151	5	be	be	AUX
ap-951	151	6	derived	derive	VERB
ap-951	151	7	starting	start	VERB
ap-951	151	8	with	with	ADP
ap-951	151	9	matrix	matrix	NOUN
ap-951	151	10	mechanics	mechanic	NOUN
ap-951	151	11	based	base	VERB
ap-951	151	12	on	on	ADP
ap-951	151	13	sl	sl	INTJ
ap-951	151	14	(	(	PUNCT
ap-951	151	15	,	,	PUNCT
ap-951	151	16	)	)	PUNCT
ap-951	151	17	n	n	DET
ap-951	151	18	�	�	PROPN
ap-951	151	19	.	.	PUNCT
ap-951	152	1	in	in	ADP
ap-951	152	2	this	this	DET
ap-951	152	3	case	case	NOUN
ap-951	152	4	i1	i1	PROPN
ap-951	152	5	0	0	NUM
ap-951	152	6	�	�	PROPN
ap-951	152	7	�	�	PROPN
ap-951	152	8	tr	tr	VERB
ap-951	152	9	and	and	CCONJ
ap-951	152	10	thereby	thereby	ADV
ap-951	152	11	in	in	ADP
ap-951	152	12	the	the	DET
ap-951	152	13	reduced	reduce	VERB
ap-951	152	14	system	system	NOUN
ap-951	152	15	v	v	ADP
ap-951	152	16	j	j	PROPN
ap-951	152	17	�	�	PROPN
ap-951	152	18	�	�	PROPN
ap-951	152	19	0	0	NUM
ap-951	152	20	.	.	PUNCT
ap-951	153	1	3.2.2	3.2.2	NUM
ap-951	153	2	hamiltonian	hamiltonian	ADJ
ap-951	153	3	reduction	reduction	NOUN
ap-951	153	4	for	for	ADP
ap-951	153	5	4d	4d	PROPN
ap-951	153	6	yang	yang	PROPN
ap-951	153	7	-	-	PUNCT
ap-951	153	8	mills	mill	NOUN
ap-951	153	9	theory	theory	NOUN
ap-951	153	10	in	in	ADP
ap-951	153	11	this	this	DET
ap-951	153	12	subsection	subsection	NOUN
ap-951	153	13	we	we	PRON
ap-951	153	14	take	take	VERB
ap-951	153	15	a	a	DET
ap-951	153	16	step	step	NOUN
ap-951	153	17	aside	aside	ADV
ap-951	153	18	to	to	PART
ap-951	153	19	illustrate	illustrate	VERB
ap-951	153	20	the	the	DET
ap-951	153	21	hamiltonian	hamiltonian	ADJ
ap-951	153	22	reduction	reduction	NOUN
ap-951	153	23	in	in	ADP
ap-951	153	24	terms	term	NOUN
ap-951	153	25	of	of	ADP
ap-951	153	26	the	the	DET
ap-951	153	27	familiar	familiar	ADJ
ap-951	153	28	phase	phase	NOUN
ap-951	153	29	space	space	NOUN
ap-951	153	30	of	of	ADP
ap-951	153	31	the	the	DET
ap-951	153	32	yang	yang	PROPN
ap-951	153	33	-	-	PUNCT
ap-951	153	34	mills	mill	NOUN
ap-951	153	35	theory	theory	NOUN
ap-951	153	36	.	.	PUNCT
ap-951	154	1	for	for	ADP
ap-951	154	2	this	this	DET
ap-951	154	3	purpose	purpose	NOUN
ap-951	154	4	consider	consider	VERB
ap-951	154	5	4d	4d	NUM
ap-951	154	6	ym	ym	PROPN
ap-951	154	7	theory	theory	NOUN
ap-951	154	8	with	with	ADP
ap-951	154	9	a	a	DET
ap-951	154	10	group	group	NOUN
ap-951	154	11	g	g	NOUN
ap-951	154	12	in	in	ADP
ap-951	154	13	the	the	DET
ap-951	154	14	hamiltonian	hamiltonian	ADJ
ap-951	154	15	formalism	formalism	NOUN
ap-951	154	16	[	[	X
ap-951	154	17	37	37	NUM
ap-951	154	18	,	,	PUNCT
ap-951	154	19	38	38	NUM
ap-951	154	20	]	]	PUNCT
ap-951	154	21	.	.	PUNCT
ap-951	155	1	the	the	DET
ap-951	155	2	phase	phase	NOUN
ap-951	155	3	space	space	NOUN
ap-951	155	4	is	be	AUX
ap-951	155	5	generated	generate	VERB
ap-951	155	6	by	by	ADP
ap-951	155	7	the	the	DET
ap-951	155	8	space	space	NOUN
ap-951	155	9	components	component	NOUN
ap-951	155	10	on	on	ADP
ap-951	155	11	�	�	PROPN
ap-951	155	12	3	3	NUM
ap-951	155	13	1	1	NUM
ap-951	155	14	2	2	NUM
ap-951	155	15	3	3	NUM
ap-951	155	16	�	�	PROPN
ap-951	155	17	(	(	PUNCT
ap-951	155	18	,	,	PUNCT
ap-951	155	19	,	,	PUNCT
ap-951	155	20	)	)	PUNCT
ap-951	155	21	x	x	PUNCT
ap-951	155	22	x	x	PUNCT
ap-951	155	23	x	x	X
ap-951	155	24	of	of	ADP
ap-951	155	25	the	the	DET
ap-951	155	26	vector	vector	NOUN
ap-951	155	27	potential	potential	NOUN
ap-951	155	28	and	and	CCONJ
ap-951	155	29	the	the	DET
ap-951	155	30	electric	electric	ADJ
ap-951	155	31	field	field	PROPN
ap-951	155	32	�	�	PROPN
ap-951	155	33	�	�	PROPN
ap-951	155	34	�	�	PROPN
ap-951	155	35	�	�	PROPN
ap-951	155	36	�	�	PROPN
ap-951	155	37	�	�	PROPN
ap-951	155	38	a	a	DET
ap-951	155	39	e	e	NOUN
ap-951	155	40	(	(	PUNCT
ap-951	155	41	,	,	PUNCT
ap-951	155	42	,	,	PUNCT
ap-951	155	43	)	)	PUNCT
ap-951	155	44	,	,	PUNCT
ap-951	155	45	(	(	PUNCT
ap-951	155	46	,	,	PUNCT
ap-951	155	47	,	,	PUNCT
ap-951	155	48	)	)	PUNCT
ap-951	155	49	a	a	DET
ap-951	155	50	a	a	PRON
ap-951	155	51	a	a	DET
ap-951	155	52	e	e	NOUN
ap-951	155	53	e	e	NOUN
ap-951	155	54	e1	e1	VERB
ap-951	155	55	2	2	NUM
ap-951	155	56	3	3	NUM
ap-951	155	57	1	1	NUM
ap-951	155	58	2	2	NUM
ap-951	155	59	3	3	NUM
ap-951	155	60	.	.	PUNCT
ap-951	156	1	where	where	SCONJ
ap-951	156	2	e	e	X
ap-951	156	3	f	f	PROPN
ap-951	156	4	a	a	DET
ap-951	156	5	a	a	DET
ap-951	156	6	a	a	DET
ap-951	156	7	aj	aj	PROPN
ap-951	156	8	j	j	PROPN
ap-951	156	9	j	j	PROPN
ap-951	156	10	j	j	PROPN
ap-951	156	11	j	j	PROPN
ap-951	156	12	�	�	PROPN
ap-951	156	13	�	�	PROPN
ap-951	156	14	�	�	PROPN
ap-951	156	15	0	0	NUM
ap-951	156	16	0	0	NUM
ap-951	156	17	0	0	NUM
ap-951	156	18	0	0	NUM
ap-951	156	19	�	�	PROPN
ap-951	156	20	�	�	PROPN
ap-951	156	21	[	[	PUNCT
ap-951	156	22	,	,	PUNCT
ap-951	156	23	]	]	PUNCT
ap-951	156	24	.	.	PUNCT
ap-951	157	1	here	here	ADV
ap-951	157	2	we	we	PRON
ap-951	157	3	have	have	AUX
ap-951	157	4	suppressed	suppress	VERB
ap-951	157	5	the	the	DET
ap-951	157	6	lie	lie	NOUN
ap-951	157	7	algebra	algebra	NOUN
ap-951	157	8	indices	indice	VERB
ap-951	157	9	.	.	PUNCT
ap-951	158	1	it	it	PRON
ap-951	158	2	is	be	AUX
ap-951	158	3	a	a	DET
ap-951	158	4	symplectic	symplectic	ADJ
ap-951	158	5	space	space	NOUN
ap-951	158	6	with	with	ADP
ap-951	158	7	the	the	DET
ap-951	158	8	canonical	canonical	ADJ
ap-951	158	9	form	form	NOUN
ap-951	158	10	�	�	PROPN
ap-951	158	11	�	�	PROPN
ap-951	158	12	�	�	PROPN
ap-951	158	13	�	�	PROPN
ap-951	158	14	�	�	PROPN
ap-951	158	15	�	�	PROPN
ap-951	158	16	�	�	PROPN
ap-951	158	17	�	�	PROPN
ap-951	158	18	�	�	PROPN
ap-951	158	19	d	d	PROPN
ap-951	158	20	d	d	PROPN
ap-951	158	21	de	de	PROPN
ap-951	158	22	daj	daj	PROPN
ap-951	158	23	j	j	PROPN
ap-951	159	1	j	j	PROPN
ap-951	159	2	e	e	PROPN
ap-951	159	3	a	a	DET
ap-951	159	4	�	�	PROPN
ap-951	159	5	�	�	PROPN
ap-951	159	6	3	3	NUM
ap-951	159	7	3	3	NUM
ap-951	159	8	1	1	NUM
ap-951	159	9	3	3	NUM
ap-951	159	10	tr	tr	VERB
ap-951	159	11	(	(	PUNCT
ap-951	159	12	)	)	PUNCT
ap-951	159	13	.	.	PUNCT
ap-951	160	1	the	the	DET
ap-951	160	2	hamiltonian	hamiltonian	NOUN
ap-951	160	3	is	be	AUX
ap-951	160	4	quadratic	quadratic	ADJ
ap-951	160	5	in	in	ADP
ap-951	160	6	fields	field	NOUN
ap-951	160	7	and	and	CCONJ
ap-951	160	8	has	have	VERB
ap-951	160	9	the	the	DET
ap-951	160	10	form	form	NOUN
ap-951	160	11	h	h	PROPN
ap-951	160	12	�	�	PROPN
ap-951	160	13	�	�	PROPN
ap-951	160	14	1	1	NUM
ap-951	160	15	2	2	NUM
ap-951	160	16	2	2	NUM
ap-951	160	17	2	2	NUM
ap-951	160	18	3	3	NUM
ap-951	160	19	e	e	PROPN
ap-951	160	20	b	b	PROPN
ap-951	160	21	�	�	PROPN
ap-951	160	22	,	,	PUNCT
ap-951	160	23	where	where	SCONJ
ap-951	160	24	b	b	X
ap-951	160	25	�	�	PROPN
ap-951	160	26	(	(	PUNCT
ap-951	160	27	,	,	PUNCT
ap-951	160	28	,	,	PUNCT
ap-951	160	29	)	)	PUNCT
ap-951	160	30	b	b	X
ap-951	160	31	b	b	X
ap-951	160	32	b1	b1	NOUN
ap-951	160	33	2	2	NUM
ap-951	160	34	3	3	NUM
ap-951	160	35	is	be	AUX
ap-951	160	36	the	the	DET
ap-951	160	37	magnetic	magnetic	ADJ
ap-951	160	38	field	field	NOUN
ap-951	160	39	b	b	PROPN
ap-951	160	40	j	j	PROPN
ap-951	160	41	�	�	PROPN
ap-951	160	42	�	�	PROPN
ap-951	160	43	jklfkl	jklfkl	PROPN
ap-951	160	44	�	�	PROPN
ap-951	160	45	�	�	PROPN
ap-951	160	46	jkl	jkl	PROPN
ap-951	160	47	(	(	PUNCT
ap-951	160	48	[	[	PUNCT
ap-951	160	49	,	,	PUNCT
ap-951	160	50	]	]	X
ap-951	160	51	)	)	PUNCT
ap-951	160	52	�	�	PROPN
ap-951	160	53	�	�	PROPN
ap-951	160	54	k	k	PROPN
ap-951	160	55	j	j	PROPN
ap-951	160	56	j	j	PROPN
ap-951	160	57	k	k	PROPN
ap-951	160	58	k	k	PROPN
ap-951	160	59	ja	ja	PROPN
ap-951	160	60	a	a	DET
ap-951	160	61	a	a	DET
ap-951	160	62	a	a	DET
ap-951	160	63	�	�	PROPN
ap-951	160	64	.	.	PUNCT
ap-951	161	1	we	we	PRON
ap-951	161	2	assume	assume	VERB
ap-951	161	3	that	that	SCONJ
ap-951	161	4	the	the	DET
ap-951	161	5	fields	field	NOUN
ap-951	161	6	are	be	AUX
ap-951	161	7	smooth	smooth	ADJ
ap-951	161	8	and	and	CCONJ
ap-951	161	9	vanish	vanish	VERB
ap-951	161	10	at	at	ADP
ap-951	161	11	infinity	infinity	NOUN
ap-951	161	12	such	such	ADJ
ap-951	161	13	that	that	SCONJ
ap-951	161	14	the	the	DET
ap-951	161	15	hamiltonian	hamiltonian	NOUN
ap-951	161	16	and	and	CCONJ
ap-951	161	17	the	the	DET
ap-951	161	18	symplectic	symplectic	ADJ
ap-951	161	19	form	form	NOUN
ap-951	161	20	are	be	AUX
ap-951	161	21	well	well	ADV
ap-951	161	22	defined	define	VERB
ap-951	161	23	.	.	PUNCT
ap-951	162	1	the	the	DET
ap-951	162	2	hamiltonian	hamiltonian	PROPN
ap-951	162	3	defines	define	VERB
ap-951	162	4	the	the	DET
ap-951	162	5	classical	classical	ADJ
ap-951	162	6	equations	equation	NOUN
ap-951	162	7	of	of	ADP
ap-951	162	8	motion	motion	NOUN
ap-951	162	9	�	�	PROPN
ap-951	162	10	t	t	PROPN
ap-951	162	11	j	j	PROPN
ap-951	162	12	ja	ja	PROPN
ap-951	162	13	e	e	PROPN
ap-951	162	14	�	�	PROPN
ap-951	162	15	,	,	PUNCT
ap-951	162	16	�	�	PROPN
ap-951	162	17	�	�	PROPN
ap-951	162	18	t	t	PROPN
ap-951	162	19	j	j	PROPN
ap-951	162	20	k	k	PROPN
ap-951	162	21	k	k	PROPN
ap-951	163	1	kj	kj	PROPN
ap-951	163	2	k	k	PROPN
ap-951	163	3	e	e	PROPN
ap-951	163	4	a	a	DET
ap-951	163	5	f	f	PROPN
ap-951	163	6	�	�	PROPN
ap-951	163	7	�	�	PROPN
ap-951	163	8	[	[	PUNCT
ap-951	163	9	,	,	PUNCT
ap-951	163	10	]	]	PUNCT
ap-951	163	11	.	.	PUNCT
ap-951	164	1	the	the	DET
ap-951	164	2	hamiltonian	hamiltonian	NOUN
ap-951	164	3	and	and	CCONJ
ap-951	164	4	the	the	DET
ap-951	164	5	form	form	NOUN
ap-951	164	6	are	be	AUX
ap-951	164	7	invariant	invariant	ADJ
ap-951	164	8	with	with	ADP
ap-951	164	9	respect	respect	NOUN
ap-951	164	10	to	to	ADP
ap-951	164	11	the	the	DET
ap-951	164	12	gauge	gauge	NOUN
ap-951	164	13	transformations	transformation	VERB
ap-951	164	14	a	a	DET
ap-951	164	15	a	a	DET
ap-951	164	16	a	a	DET
ap-951	164	17	�	�	PROPN
ap-951	164	18	�	�	PROPN
ap-951	164	19	�	�	PROPN
ap-951	164	20	�	�	PROPN
ap-951	164	21	f	f	PROPN
ap-951	164	22	f	f	PROPN
ap-951	164	23	df	df	PROPN
ap-951	164	24	f	f	PROPN
ap-951	164	25	f1	f1	PROPN
ap-951	164	26	1	1	NUM
ap-951	164	27	,	,	PUNCT
ap-951	164	28	e	e	X
ap-951	164	29	e	e	NOUN
ap-951	164	30	e	e	PROPN
ap-951	164	31	�	�	PROPN
ap-951	164	32	�	�	PROPN
ap-951	164	33	�	�	PROPN
ap-951	164	34	f	f	PROPN
ap-951	164	35	f	f	PROPN
ap-951	164	36	f1	f1	PROPN
ap-951	164	37	.	.	PUNCT
ap-951	165	1	where	where	SCONJ
ap-951	165	2	d	d	PROPN
ap-951	165	3	�	�	PROPN
ap-951	165	4	(	(	PUNCT
ap-951	165	5	,	,	PUNCT
ap-951	165	6	,	,	PUNCT
ap-951	165	7	)	)	PUNCT
ap-951	165	8	�	�	PROPN
ap-951	165	9	�	�	PROPN
ap-951	165	10	�	�	PROPN
ap-951	165	11	1	1	NUM
ap-951	165	12	2	2	NUM
ap-951	165	13	3	3	NUM
ap-951	165	14	.	.	PUNCT
ap-951	166	1	we	we	PRON
ap-951	166	2	assume	assume	VERB
ap-951	166	3	that	that	SCONJ
ap-951	166	4	f	f	PROPN
ap-951	166	5	is	be	AUX
ap-951	166	6	a	a	DET
ap-951	166	7	smooth	smooth	ADJ
ap-951	166	8	map	map	NOUN
ap-951	167	1	f	f	PROPN
ap-951	167	2	c	c	PROPN
ap-951	167	3	g	g	PROPN
ap-951	167	4	�	�	PROPN
ap-951	167	5	�	�	PROPN
ap-951	167	6	�	�	PROPN
ap-951	167	7	�	�	PROPN
ap-951	167	8	�	�	PROPN
ap-951	167	9	(	(	PUNCT
ap-951	167	10	)	)	PUNCT
ap-951	167	11	�	�	PROPN
ap-951	167	12	3	3	NUM
ap-951	167	13	,	,	PUNCT
ap-951	167	14	vanishing	vanish	VERB
ap-951	167	15	at	at	ADP
ap-951	167	16	infinity	infinity	NOUN
ap-951	167	17	and	and	CCONJ
ap-951	167	18	at	at	ADP
ap-951	167	19	some	some	DET
ap-951	167	20	marked	mark	VERB
ap-951	167	21	points	point	NOUN
ap-951	167	22	f	f	PROPN
ap-951	167	23	a	a	X
ap-951	167	24	(	(	PUNCT
ap-951	167	25	)	)	PUNCT
ap-951	167	26	y	y	PROPN
ap-951	167	27	�	�	PROPN
ap-951	167	28	0	0	PROPN
ap-951	167	29	,	,	PUNCT
ap-951	167	30	ya	ya	PRON
ap-951	167	31	a	a	PRON
ap-951	167	32	a	a	DET
ap-951	167	33	ay	ay	NOUN
ap-951	167	34	y	y	PROPN
ap-951	167	35	y	y	PROPN
ap-951	167	36	�	�	PROPN
ap-951	167	37	(	(	PUNCT
ap-951	167	38	,	,	PUNCT
ap-951	167	39	,	,	PUNCT
ap-951	167	40	)	)	PUNCT
ap-951	167	41	1	1	NUM
ap-951	167	42	2	2	NUM
ap-951	167	43	3	3	NUM
ap-951	167	44	,	,	PUNCT
ap-951	167	45	(	(	PUNCT
ap-951	167	46	,	,	PUNCT
ap-951	167	47	,	,	PUNCT
ap-951	167	48	)	)	PUNCT
ap-951	167	49	a	a	DET
ap-951	167	50	n	n	X
ap-951	167	51	�	�	PROPN
ap-951	167	52	1	1	NUM
ap-951	167	53	�	�	PROPN
ap-951	167	54	.	.	PUNCT
ap-951	168	1	infinitesimal	infinitesimal	ADJ
ap-951	168	2	gauge	gauge	NOUN
ap-951	168	3	transformations	transformation	NOUN
ap-951	168	4	defines	define	VERB
ap-951	168	5	the	the	DET
ap-951	168	6	vector	vector	NOUN
ap-951	168	7	field	field	NOUN
ap-951	168	8	on	on	ADP
ap-951	168	9	the	the	DET
ap-951	168	10	phase	phase	NOUN
ap-951	168	11	space	space	NOUN
ap-951	168	12	v	v	NOUN
ap-951	168	13	�	�	PROPN
ap-951	168	14	e	e	X
ap-951	168	15	e	e	PROPN
ap-951	168	16	�	�	PROPN
ap-951	168	17	[	[	PUNCT
ap-951	168	18	,	,	PUNCT
ap-951	168	19	�	�	PROPN
ap-951	168	20	]	]	PUNCT
ap-951	168	21	,	,	PUNCT
ap-951	168	22	v	v	PROPN
ap-951	168	23	�	�	PROPN
ap-951	168	24	a	a	DET
ap-951	168	25	�	�	PROPN
ap-951	168	26	d	d	PROPN
ap-951	168	27	�	�	PROPN
ap-951	168	28	[	[	PUNCT
ap-951	168	29	,	,	PUNCT
ap-951	168	30	a	a	DET
ap-951	168	31	�	�	PROPN
ap-951	168	32	]	]	PUNCT
ap-951	168	33	,	,	PUNCT
ap-951	168	34	�	�	PROPN
ap-951	168	35	�	�	PROPN
ap-951	168	36	lie	lie	NOUN
ap-951	168	37	(	(	PUNCT
ap-951	168	38	)	)	PUNCT
ap-951	168	39	�	�	PROPN
ap-951	168	40	.	.	PUNCT
ap-951	169	1	the	the	DET
ap-951	169	2	corresponding	correspond	VERB
ap-951	169	3	momentum	momentum	NOUN
ap-951	169	4	hamiltonian	hamiltonian	NOUN
ap-951	169	5	is	be	AUX
ap-951	169	6	f	f	X
ap-951	169	7	(	(	PUNCT
ap-951	169	8	,	,	PUNCT
ap-951	169	9	,	,	PUNCT
ap-951	169	10	e	e	PROPN
ap-951	169	11	a	a	DET
ap-951	169	12	�	�	PROPN
ap-951	169	13	)	)	PUNCT
ap-951	169	14	�	�	PROPN
ap-951	169	15	�	�	PROPN
ap-951	169	16	�	�	PROPN
ap-951	169	17	3	3	NUM
ap-951	169	18	�	�	PROPN
ap-951	169	19	�	�	PROPN
ap-951	169	20	(	(	PUNCT
ap-951	169	21	[	[	PUNCT
ap-951	169	22	,	,	PUNCT
ap-951	169	23	]	]	X
ap-951	169	24	)	)	PUNCT
ap-951	169	25	�	�	PROPN
ap-951	170	1	j	j	PROPN
ap-951	171	1	j	j	PROPN
ap-951	171	2	j	j	PROPN
ap-951	172	1	j	j	PROPN
ap-951	172	2	j	j	PROPN
ap-951	172	3	e	e	PROPN
ap-951	172	4	a	a	PRON
ap-951	172	5	e	e	PROPN
ap-951	172	6	�	�	PROPN
ap-951	172	7	�	�	PROPN
ap-951	172	8	1	1	NUM
ap-951	172	9	3	3	NUM
ap-951	172	10	,	,	PUNCT
ap-951	172	11	(	(	PUNCT
ap-951	172	12	compare	compare	VERB
ap-951	172	13	with	with	ADP
ap-951	172	14	(	(	PUNCT
ap-951	172	15	3.14	3.14	NUM
ap-951	172	16	)	)	PUNCT
ap-951	172	17	)	)	PUNCT
ap-951	172	18	.	.	PUNCT
ap-951	173	1	therefore	therefore	ADV
ap-951	173	2	the	the	DET
ap-951	173	3	moment	moment	NOUN
ap-951	173	4	takes	take	VERB
ap-951	173	5	the	the	DET
ap-951	173	6	form	form	NOUN
ap-951	173	7	�	�	PROPN
ap-951	173	8	�	�	PROPN
ap-951	173	9	(	(	PUNCT
ap-951	173	10	,	,	PUNCT
ap-951	173	11	[	[	PUNCT
ap-951	173	12	,	,	PUNCT
ap-951	173	13	]	]	X
ap-951	173	14	e	e	X
ap-951	173	15	a	a	X
ap-951	173	16	)	)	PUNCT
ap-951	173	17	=	=	SYM
ap-951	174	1	j	j	PROPN
ap-951	174	2	j	j	PROPN
ap-951	174	3	j	j	PROPN
ap-951	174	4	j	j	PROPN
ap-951	174	5	j	j	PROPN
ap-951	174	6	e	e	PROPN
ap-951	174	7	a	a	PRON
ap-951	174	8	e	e	PROPN
ap-951	174	9	�	�	PROPN
ap-951	174	10	�	�	PROPN
ap-951	174	11	1	1	NUM
ap-951	174	12	3	3	NUM
ap-951	174	13	.	.	PUNCT
ap-951	175	1	this	this	PRON
ap-951	175	2	is	be	AUX
ap-951	175	3	an	an	DET
ap-951	175	4	element	element	NOUN
ap-951	175	5	of	of	ADP
ap-951	175	6	the	the	DET
ap-951	175	7	gauge	gauge	NOUN
ap-951	175	8	co	co	NOUN
ap-951	175	9	-	-	NOUN
ap-951	175	10	algebra	algebra	ADJ
ap-951	175	11	lie	lie	NOUN
ap-951	175	12	*	*	PUNCT
ap-951	175	13	(	(	PUNCT
ap-951	175	14	)	)	PUNCT
ap-951	175	15	�	�	PROPN
ap-951	175	16	.	.	PUNCT
ap-951	176	1	in	in	ADP
ap-951	176	2	other	other	ADJ
ap-951	176	3	words	word	NOUN
ap-951	176	4	the	the	DET
ap-951	176	5	moment	moment	NOUN
ap-951	176	6	belongs	belong	VERB
ap-951	176	7	to	to	ADP
ap-951	176	8	the	the	DET
ap-951	176	9	map	map	NOUN
ap-951	176	10	of	of	ADP
ap-951	176	11	the	the	DET
ap-951	176	12	phase	phase	NOUN
ap-951	176	13	space	space	NOUN
ap-951	176	14	�	�	PROPN
ap-951	176	15	to	to	ADP
ap-951	176	16	the	the	DET
ap-951	176	17	distributions	distribution	NOUN
ap-951	176	18	on	on	ADP
ap-951	176	19	�	�	PROPN
ap-951	176	20	3	3	NUM
ap-951	176	21	with	with	ADP
ap-951	176	22	values	value	NOUN
ap-951	176	23	in	in	ADP
ap-951	176	24	lie	lie	NOUN
ap-951	176	25	g	g	PROPN
ap-951	176	26	*	*	PUNCT
ap-951	176	27	(	(	PUNCT
ap-951	176	28	)	)	PUNCT
ap-951	176	29	.	.	PUNCT
ap-951	177	1	let	let	VERB
ap-951	177	2	us	we	PRON
ap-951	177	3	fix	fix	VERB
ap-951	177	4	it	it	PRON
ap-951	177	5	as	as	ADP
ap-951	177	6	�	�	PROPN
ap-951	177	7	�	�	PROPN
ap-951	177	8	�	�	PROPN
ap-951	177	9	j	j	PROPN
ap-951	177	10	j	j	PROPN
ap-951	178	1	j	j	PROPN
ap-951	178	2	j	j	PROPN
ap-951	178	3	j	j	PROPN
ap-951	178	4	a	a	DET
ap-951	178	5	a	a	DET
ap-951	178	6	a	a	DET
ap-951	178	7	e	e	NOUN
ap-951	178	8	a	a	DET
ap-951	178	9	e	e	PROPN
ap-951	178	10	�	�	PROPN
ap-951	178	11	�	�	PROPN
ap-951	178	12	�	�	PROPN
ap-951	178	13	�	�	PROPN
ap-951	178	14	�	�	PROPN
ap-951	178	15	[	[	PUNCT
ap-951	178	16	,	,	PUNCT
ap-951	178	17	]	]	X
ap-951	178	18	(	(	PUNCT
ap-951	178	19	)	)	PUNCT
ap-951	178	20	1	1	NUM
ap-951	178	21	3	3	NUM
ap-951	178	22	x	x	SYM
ap-951	178	23	y	y	PROPN
ap-951	178	24	,	,	PUNCT
ap-951	178	25	(	(	PUNCT
ap-951	178	26	3.21	3.21	NUM
ap-951	178	27	)	)	PUNCT
ap-951	178	28	where	where	SCONJ
ap-951	178	29	�	�	PROPN
ap-951	178	30	a	a	DET
ap-951	178	31	lie	lie	NOUN
ap-951	178	32	�	�	PROPN
ap-951	178	33	*	*	PUNCT
ap-951	178	34	(	(	PUNCT
ap-951	178	35	)	)	PUNCT
ap-951	178	36	�	�	PROPN
ap-951	178	37	.	.	PUNCT
ap-951	179	1	the	the	DET
ap-951	179	2	moment	moment	NOUN
ap-951	179	3	constraints	constraint	VERB
ap-951	179	4	(	(	PUNCT
ap-951	179	5	3.21	3.21	NUM
ap-951	179	6	)	)	PUNCT
ap-951	179	7	are	be	AUX
ap-951	179	8	nothing	nothing	PRON
ap-951	179	9	else	else	ADV
ap-951	179	10	than	than	ADP
ap-951	179	11	the	the	DET
ap-951	179	12	gauss	gauss	PROPN
ap-951	179	13	law	law	NOUN
ap-951	179	14	,	,	PUNCT
ap-951	179	15	and	and	CCONJ
ap-951	179	16	�	�	PROPN
ap-951	179	17	a	a	PRON
ap-951	179	18	are	be	AUX
ap-951	179	19	electric	electric	ADJ
ap-951	179	20	charges	charge	NOUN
ap-951	179	21	.	.	PUNCT
ap-951	180	1	to	to	PART
ap-951	180	2	come	come	VERB
ap-951	180	3	to	to	ADP
ap-951	180	4	the	the	DET
ap-951	180	5	reduced	reduce	VERB
ap-951	180	6	phase	phase	NOUN
ap-951	180	7	space	space	NOUN
ap-951	180	8	�	�	PROPN
ap-951	180	9	�	�	PROPN
ap-951	180	10	�	�	PROPN
ap-951	180	11	red	red	PROPN
ap-951	180	12	�	�	PROPN
ap-951	180	13	/	/	PUNCT
ap-951	180	14	/	/	SYM
ap-951	180	15	we	we	PRON
ap-951	180	16	should	should	AUX
ap-951	180	17	add	add	VERB
ap-951	180	18	a	a	DET
ap-951	180	19	gauge	gauge	NOUN
ap-951	180	20	fixing	fix	VERB
ap-951	180	21	condition	condition	NOUN
ap-951	180	22	to	to	ADP
ap-951	180	23	the	the	DET
ap-951	180	24	gauss	gauss	PROPN
ap-951	180	25	law	law	NOUN
ap-951	180	26	.	.	PUNCT
ap-951	181	1	note	note	VERB
ap-951	181	2	that	that	SCONJ
ap-951	181	3	the	the	DET
ap-951	181	4	gauge	gauge	NOUN
ap-951	181	5	transformations	transformation	NOUN
ap-951	181	6	vanish	vanish	VERB
ap-951	181	7	at	at	ADP
ap-951	181	8	the	the	DET
ap-951	181	9	points	point	NOUN
ap-951	181	10	ya	ya	PROPN
ap-951	181	11	,	,	PUNCT
ap-951	181	12	and	and	CCONJ
ap-951	181	13	in	in	ADP
ap-951	181	14	this	this	DET
ap-951	181	15	way	way	NOUN
ap-951	181	16	they	they	PRON
ap-951	181	17	preserves	preserve	VERB
ap-951	181	18	the	the	DET
ap-951	181	19	right	right	ADJ
ap-951	181	20	hand	hand	NOUN
ap-951	181	21	side	side	NOUN
ap-951	181	22	of	of	ADP
ap-951	181	23	(	(	PUNCT
ap-951	181	24	3.21	3.21	NUM
ap-951	181	25	)	)	PUNCT
ap-951	181	26	.	.	PUNCT
ap-951	182	1	starting	start	VERB
ap-951	182	2	with	with	ADP
ap-951	182	3	six	six	NUM
ap-951	182	4	fields	field	NOUN
ap-951	182	5	(	(	PUNCT
ap-951	182	6	,	,	PUNCT
ap-951	182	7	)	)	PUNCT
ap-951	182	8	a	a	DET
ap-951	182	9	ej	ej	PROPN
ap-951	182	10	j	j	PROPN
ap-951	182	11	defining	define	VERB
ap-951	182	12	�	�	PROPN
ap-951	182	13	,	,	PUNCT
ap-951	182	14	we	we	PRON
ap-951	182	15	put	put	VERB
ap-951	182	16	two	two	NUM
ap-951	182	17	types	type	NOUN
ap-951	182	18	of	of	ADP
ap-951	182	19	constraints	constraint	NOUN
ap-951	182	20	–	–	PUNCT
ap-951	182	21	the	the	DET
ap-951	182	22	gauss	gauss	ADJ
ap-951	182	23	law	law	NOUN
ap-951	182	24	and	and	CCONJ
ap-951	182	25	gauge	gauge	NOUN
ap-951	182	26	fixing	fixing	NOUN
ap-951	182	27	.	.	PUNCT
ap-951	183	1	roughly	roughly	ADV
ap-951	183	2	speaking	speak	VERB
ap-951	183	3	,	,	PUNCT
ap-951	183	4	they	they	PRON
ap-951	183	5	kill	kill	VERB
ap-951	183	6	two	two	NUM
ap-951	183	7	fields	field	NOUN
ap-951	183	8	and	and	CCONJ
ap-951	183	9	the	the	DET
ap-951	183	10	reduced	reduce	VERB
ap-951	183	11	phase	phase	NOUN
ap-951	183	12	space	space	NOUN
ap-951	183	13	describes	describe	VERB
ap-951	183	14	the	the	DET
ap-951	183	15	“	"	PUNCT
ap-951	183	16	transversal	transversal	ADJ
ap-951	183	17	degrees	degree	NOUN
ap-951	183	18	of	of	ADP
ap-951	183	19	freedom	freedom	NOUN
ap-951	183	20	”	"	PUNCT
ap-951	183	21	.	.	PUNCT
ap-951	184	1	4	4	NUM
ap-951	184	2	3d	3d	NUM
ap-951	184	3	field	field	NOUN
ap-951	184	4	theory	theory	NOUN
ap-951	184	5	4.1	4.1	NUM
ap-951	184	6	hitchin	hitchin	PROPN
ap-951	184	7	systems	system	NOUN
ap-951	184	8	4.1.1	4.1.1	NUM
ap-951	184	9	fields	field	NOUN
ap-951	184	10	define	define	VERB
ap-951	184	11	a	a	DET
ap-951	184	12	field	field	NOUN
ap-951	184	13	theory	theory	NOUN
ap-951	184	14	on	on	ADP
ap-951	184	15	(	(	PUNCT
ap-951	184	16	2	2	NUM
ap-951	184	17	1	1	NUM
ap-951	184	18	)	)	PUNCT
ap-951	184	19	dimensional	dimensional	ADJ
ap-951	184	20	space	space	NOUN
ap-951	184	21	-	-	PUNCT
ap-951	184	22	time	time	NOUN
ap-951	184	23	of	of	ADP
ap-951	184	24	the	the	DET
ap-951	184	25	form	form	NOUN
ap-951	184	26	�	�	PROPN
ap-951	184	27	�	�	PROPN
ap-951	184	28	g	g	PROPN
ap-951	184	29	n	n	CCONJ
ap-951	184	30	,	,	PUNCT
ap-951	184	31	,	,	PUNCT
ap-951	184	32	where	where	SCONJ
ap-951	184	33	is	be	AUX
ap-951	184	34	a	a	DET
ap-951	184	35	riemann	riemann	PROPN
ap-951	184	36	surface	surface	NOUN
ap-951	184	37	of	of	ADP
ap-951	184	38	genus	genus	PROPN
ap-951	184	39	g	g	NOUN
ap-951	184	40	with	with	ADP
ap-951	184	41	a	a	DET
ap-951	184	42	divisor	divisor	NOUN
ap-951	185	1	d	d	NOUN
ap-951	185	2	x	x	NOUN
ap-951	185	3	xn	xn	PROPN
ap-951	185	4	�	�	PROPN
ap-951	185	5	(	(	PUNCT
ap-951	185	6	,	,	PUNCT
ap-951	185	7	,	,	PUNCT
ap-951	185	8	)	)	PUNCT
ap-951	185	9	1	1	NUM
ap-951	185	10	�	�	PROPN
ap-951	185	11	of	of	ADP
ap-951	185	12	n	n	PRON
ap-951	185	13	marked	mark	VERB
ap-951	185	14	points	point	NOUN
ap-951	185	15	.	.	PUNCT
ap-951	186	1	the	the	DET
ap-951	186	2	phase	phase	NOUN
ap-951	186	3	space	space	NOUN
ap-951	186	4	of	of	ADP
ap-951	186	5	the	the	DET
ap-951	186	6	theory	theory	NOUN
ap-951	186	7	is	be	AUX
ap-951	186	8	defined	define	VERB
ap-951	186	9	by	by	ADP
ap-951	186	10	the	the	DET
ap-951	186	11	following	follow	VERB
ap-951	186	12	field	field	NOUN
ap-951	186	13	content	content	NOUN
ap-951	186	14	:	:	PUNCT
ap-951	186	15	1	1	X
ap-951	186	16	)	)	PUNCT
ap-951	186	17	consider	consider	VERB
ap-951	186	18	a	a	DET
ap-951	186	19	vector	vector	NOUN
ap-951	186	20	bundle	bundle	NOUN
ap-951	186	21	e	e	PROPN
ap-951	186	22	of	of	ADP
ap-951	186	23	rank	rank	NOUN
ap-951	186	24	n	n	NOUN
ap-951	186	25	over	over	ADP
ap-951	186	26	�	�	PROPN
ap-951	186	27	g	g	NOUN
ap-951	186	28	,	,	PUNCT
ap-951	186	29	n	n	PRON
ap-951	186	30	equipped	equip	VERB
ap-951	186	31	with	with	ADP
ap-951	186	32	the	the	DET
ap-951	186	33	connection	connection	NOUN
ap-951	186	34	�	�	PROPN
ap-951	186	35	�	�	PROPN
ap-951	186	36	�	�	PROPN
ap-951	186	37	!	!	PUNCT
ap-951	187	1	"	"	PUNCT
ap-951	187	2	d	d	X
ap-951	187	3	dzz	dzz	PROPN
ap-951	187	4	.	.	PUNCT
ap-951	188	1	it	it	PRON
ap-951	188	2	acts	act	VERB
ap-951	188	3	on	on	ADP
ap-951	188	4	the	the	DET
ap-951	188	5	sections	section	NOUN
ap-951	188	6	8	8	NUM
ap-951	188	7	©	©	PROPN
ap-951	188	8	czech	czech	PROPN
ap-951	188	9	technical	technical	PROPN
ap-951	188	10	university	university	PROPN
ap-951	188	11	publishing	publishing	NOUN
ap-951	188	12	house	house	NOUN
ap-951	188	13	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-951	188	14	acta	acta	PROPN
ap-951	188	15	polytechnica	polytechnica	PROPN
ap-951	188	16	vol	vol	NOUN
ap-951	188	17	.	.	PUNCT
ap-951	189	1	48	48	NUM
ap-951	189	2	no	no	NOUN
ap-951	189	3	.	.	PUNCT
ap-951	190	1	2/2008	2/2008	PROPN
ap-951	190	2	s	s	PROPN
ap-951	190	3	s	s	PROPN
ap-951	190	4	st	st	PROPN
ap-951	190	5	n	n	CCONJ
ap-951	190	6	�	�	PROPN
ap-951	190	7	(	(	PUNCT
ap-951	190	8	,	,	PUNCT
ap-951	190	9	,	,	PUNCT
ap-951	190	10	)	)	PUNCT
ap-951	190	11	1	1	NUM
ap-951	190	12	�	�	PROPN
ap-951	190	13	of	of	ADP
ap-951	190	14	e	e	PROPN
ap-951	190	15	as	as	ADP
ap-951	190	16	�	�	PROPN
ap-951	190	17	�	�	PROPN
ap-951	190	18	�	�	PROPN
ap-951	191	1	d	d	PROPN
ap-951	191	2	s	s	X
ap-951	191	3	s	s	X
ap-951	191	4	as	as	ADP
ap-951	191	5	�	�	PROPN
ap-951	191	6	.	.	PUNCT
ap-951	192	1	the	the	DET
ap-951	192	2	vector	vector	NOUN
ap-951	192	3	fields	field	VERB
ap-951	192	4	a	a	DET
ap-951	192	5	z	z	NOUN
ap-951	192	6	z	z	NOUN
ap-951	192	7	(	(	PUNCT
ap-951	192	8	,	,	PUNCT
ap-951	192	9	)	)	PUNCT
ap-951	192	10	are	be	AUX
ap-951	192	11	c	c	ADP
ap-951	192	12	�	�	PROPN
ap-951	192	13	maps	map	NOUN
ap-951	192	14	�	�	PROPN
ap-951	192	15	g	g	PROPN
ap-951	192	16	n	n	PROPN
ap-951	192	17	n	n	CCONJ
ap-951	192	18	,	,	PUNCT
ap-951	192	19	(	(	PUNCT
ap-951	192	20	,	,	PUNCT
ap-951	192	21	)	)	PUNCT
ap-951	192	22	�	�	PROPN
ap-951	192	23	gl	gl	PROPN
ap-951	192	24	�	�	PROPN
ap-951	192	25	.	.	PUNCT
ap-951	193	1	2	2	X
ap-951	193	2	)	)	PUNCT
ap-951	193	3	the	the	DET
ap-951	193	4	scalar	scalar	ADJ
ap-951	193	5	fields	field	NOUN
ap-951	193	6	(	(	PUNCT
ap-951	193	7	the	the	DET
ap-951	193	8	higgs	higgs	NOUN
ap-951	193	9	fields	field	NOUN
ap-951	193	10	)	)	PUNCT
ap-951	193	11	(	(	PUNCT
ap-951	193	12	,	,	PUNCT
ap-951	193	13	)	)	PUNCT
ap-951	193	14	z	z	NOUN
ap-951	193	15	z	z	NOUN
ap-951	193	16	dz	dz	X
ap-951	193	17	"	"	PUNCT
ap-951	193	18	,	,	PUNCT
ap-951	193	19	�	�	PROPN
ap-951	193	20	:	:	PUNCT
ap-951	193	21	(	(	PUNCT
ap-951	193	22	,	,	PUNCT
ap-951	193	23	)	)	PUNCT
ap-951	193	24	,	,	PUNCT
ap-951	193	25	g	g	PROPN
ap-951	193	26	n	n	CCONJ
ap-951	193	27	n	n	CCONJ
ap-951	193	28	�	�	PROPN
ap-951	193	29	gl	gl	PROPN
ap-951	193	30	�	�	PROPN
ap-951	193	31	.	.	PUNCT
ap-951	194	1	the	the	DET
ap-951	194	2	higgs	higgs	NOUN
ap-951	194	3	field	field	NOUN
ap-951	194	4	is	be	AUX
ap-951	194	5	a	a	DET
ap-951	194	6	section	section	NOUN
ap-951	194	7	of	of	ADP
ap-951	194	8	the	the	DET
ap-951	194	9	bundle	bundle	PROPN
ap-951	194	10	�	�	PROPN
ap-951	194	11	�	�	PROPN
ap-951	194	12	(	(	PUNCT
ap-951	194	13	,	,	PUNCT
ap-951	194	14	)	)	PUNCT
ap-951	194	15	,	,	PUNCT
ap-951	194	16	(	(	PUNCT
ap-951	194	17	,	,	PUNCT
ap-951	194	18	)	)	PUNCT
ap-951	195	1	1	1	NUM
ap-951	195	2	0	0	NUM
ap-951	195	3	g	g	PROPN
ap-951	195	4	n	n	PRON
ap-951	195	5	eend	eend	VERB
ap-951	195	6	.	.	PUNCT
ap-951	196	1	this	this	PRON
ap-951	196	2	means	mean	VERB
ap-951	196	3	that	that	SCONJ
ap-951	196	4	acts	act	VERB
ap-951	196	5	on	on	ADP
ap-951	196	6	the	the	DET
ap-951	196	7	sections	section	NOUN
ap-951	196	8	s	s	PART
ap-951	196	9	s	s	NOUN
ap-951	196	10	dzj	dzj	VERB
ap-951	196	11	kj	kj	PROPN
ap-951	196	12	j	j	PROPN
ap-951	196	13	�	�	PROPN
ap-951	196	14	"	"	PUNCT
ap-951	196	15	.	.	PUNCT
ap-951	197	1	we	we	PRON
ap-951	197	2	assume	assume	VERB
ap-951	197	3	that	that	PRON
ap-951	197	4	has	have	VERB
ap-951	197	5	holomorphic	holomorphic	ADJ
ap-951	197	6	poles	pole	NOUN
ap-951	197	7	at	at	ADP
ap-951	197	8	the	the	DET
ap-951	197	9	marked	mark	VERB
ap-951	197	10	points	point	NOUN
ap-951	197	11	~	~	PUNCT
ap-951	197	12	a	a	DET
ap-951	197	13	az	az	PROPN
ap-951	197	14	x	x	PROPN
ap-951	197	15	�	�	PROPN
ap-951	197	16	�	�	PROPN
ap-951	197	17	let	let	VERB
ap-951	197	18	(	(	PUNCT
ap-951	197	19	,	,	PUNCT
ap-951	197	20	,	,	PUNCT
ap-951	197	21	,	,	PUNCT
ap-951	197	22	,	,	PUNCT
ap-951	197	23	,	,	PUNCT
ap-951	197	24	)	)	PUNCT
ap-951	197	25	�	�	PROPN
ap-951	197	26	�	�	PROPN
ap-951	197	27	�	�	PROPN
ap-951	197	28	�	�	PROPN
ap-951	197	29	1	1	NUM
ap-951	197	30	1	1	NUM
ap-951	197	31	�	�	PROPN
ap-951	197	32	�	�	PROPN
ap-951	197	33	g	g	PROPN
ap-951	197	34	g	g	PROPN
ap-951	197	35	be	be	AUX
ap-951	197	36	a	a	DET
ap-951	197	37	set	set	NOUN
ap-951	197	38	of	of	ADP
ap-951	197	39	fundamental	fundamental	ADJ
ap-951	197	40	cycles	cycle	NOUN
ap-951	197	41	of	of	ADP
ap-951	197	42	�	�	PROPN
ap-951	197	43	g	g	PROPN
ap-951	197	44	n	n	CCONJ
ap-951	197	45	,	,	PUNCT
ap-951	197	46	,	,	PUNCT
ap-951	197	47	(	(	PUNCT
ap-951	198	1	�	�	PROPN
ap-951	198	2	�	�	PROPN
ap-951	198	3	�	�	PROPN
ap-951	198	4	�	�	PROPN
ap-951	198	5	j	j	PROPN
ap-951	198	6	j	j	PROPN
ap-951	198	7	j	j	PROPN
ap-951	198	8	jj	jj	PROPN
ap-951	198	9	�	�	PROPN
ap-951	198	10	�	�	PROPN
ap-951	198	11	#	#	NOUN
ap-951	198	12	�	�	NOUN
ap-951	198	13	1	1	NUM
ap-951	198	14	1	1	NUM
ap-951	198	15	1	1	NUM
ap-951	198	16	)	)	PUNCT
ap-951	198	17	.	.	PUNCT
ap-951	199	1	the	the	DET
ap-951	199	2	bundle	bundle	NOUN
ap-951	199	3	e	e	PROPN
ap-951	199	4	is	be	AUX
ap-951	199	5	defined	define	VERB
ap-951	199	6	by	by	ADP
ap-951	199	7	the	the	DET
ap-951	199	8	monodromy	monodromy	NOUN
ap-951	199	9	matrices	matrix	NOUN
ap-951	199	10	(	(	PUNCT
ap-951	199	11	,	,	PUNCT
ap-951	199	12	)	)	PUNCT
ap-951	199	13	q	q	PROPN
ap-951	200	1	j	j	PROPN
ap-951	200	2	j	j	PROPN
ap-951	200	3	�	�	PROPN
ap-951	200	4	�	�	PROPN
ap-951	200	5	j	j	PROPN
ap-951	200	6	js	js	PROPN
ap-951	200	7	q	q	PROPN
ap-951	201	1	s	s	X
ap-951	201	2	:	:	PUNCT
ap-951	201	3	�	�	PROPN
ap-951	201	4	�	�	PROPN
ap-951	201	5	1	1	NUM
ap-951	201	6	,	,	PUNCT
ap-951	201	7	�	�	PROPN
ap-951	201	8	j	j	PROPN
ap-951	201	9	j	j	PROPN
ap-951	201	10	s:	s:	PROPN
ap-951	201	11	�	�	PROPN
ap-951	201	12	�	�	PROPN
ap-951	201	13	1	1	NUM
ap-951	201	14	similarly	similarly	ADV
ap-951	201	15	,	,	PUNCT
ap-951	201	16	for	for	ADP
ap-951	201	17	a	a	PRON
ap-951	202	1	and	and	CCONJ
ap-951	202	2	we	we	PRON
ap-951	202	3	have	have	VERB
ap-951	202	4	�	�	PROPN
ap-951	202	5	�	�	PROPN
ap-951	202	6	j	j	PROPN
ap-951	203	1	j	j	PROPN
ap-951	204	1	j	j	PROPN
ap-951	205	1	j	j	PROPN
ap-951	205	2	ja	ja	PROPN
ap-951	205	3	q	q	PROPN
ap-951	206	1	q	q	AUX
ap-951	206	2	q	q	NOUN
ap-951	206	3	aq	aq	NOUN
ap-951	206	4	:	:	PUNCT
ap-951	206	5	�	�	PROPN
ap-951	206	6	�	�	PROPN
ap-951	206	7	�	�	PROPN
ap-951	206	8	1	1	NUM
ap-951	206	9	1	1	NUM
ap-951	206	10	,	,	PUNCT
ap-951	206	11	�	�	PROPN
ap-951	206	12	�	�	PROPN
ap-951	206	13	j	j	PROPN
ap-951	206	14	j	j	PROPN
ap-951	206	15	j	j	PROPN
ap-951	207	1	j	j	PROPN
ap-951	207	2	ja	ja	PROPN
ap-951	207	3	a	a	PRON
ap-951	207	4	:	:	PUNCT
ap-951	207	5	�	�	PROPN
ap-951	207	6	�	�	PROPN
ap-951	207	7	�	�	PROPN
ap-951	207	8	�	�	PROPN
ap-951	207	9	�	�	PROPN
ap-951	207	10	�	�	PROPN
ap-951	207	11	�	�	PROPN
ap-951	207	12	1	1	NUM
ap-951	207	13	1	1	NUM
ap-951	207	14	�	�	PROPN
ap-951	207	15	j	j	PROPN
ap-951	207	16	j	j	PROPN
ap-951	207	17	jq	jq	PROPN
ap-951	208	1	q	q	NOUN
ap-951	208	2	:	:	PUNCT
ap-951	208	3	�	�	PROPN
ap-951	208	4	�	�	PROPN
ap-951	208	5	1	1	NUM
ap-951	208	6	,	,	PUNCT
ap-951	208	7	bj	bj	ADP
ap-951	208	8	j	j	PROPN
ap-951	208	9	j	j	PROPN
ap-951	208	10	:	:	PUNCT
ap-951	208	11	�	�	PROPN
ap-951	208	12	�	�	PROPN
ap-951	208	13	�	�	PROPN
ap-951	208	14	�	�	PROPN
ap-951	208	15	1	1	NUM
ap-951	208	16	.	.	PUNCT
ap-951	209	1	(	(	PUNCT
ap-951	209	2	4.1	4.1	NUM
ap-951	209	3	)	)	PUNCT
ap-951	209	4	3	3	NUM
ap-951	209	5	)	)	PUNCT
ap-951	209	6	the	the	DET
ap-951	209	7	spin	spin	NOUN
ap-951	209	8	variables	variable	NOUN
ap-951	209	9	are	be	AUX
ap-951	209	10	attributed	attribute	VERB
ap-951	209	11	to	to	ADP
ap-951	209	12	the	the	DET
ap-951	209	13	marked	mark	VERB
ap-951	209	14	points	point	NOUN
ap-951	209	15	s	s	PART
ap-951	209	16	na	na	PROPN
ap-951	209	17	�	�	PROPN
ap-951	209	18	gl	gl	PROPN
ap-951	209	19	(	(	PUNCT
ap-951	209	20	,	,	PUNCT
ap-951	209	21	)	)	PUNCT
ap-951	209	22	�	�	PROPN
ap-951	209	23	,	,	PUNCT
ap-951	209	24	a	a	DET
ap-951	209	25	n	n	X
ap-951	209	26	�	�	NOUN
ap-951	209	27	1	1	NUM
ap-951	209	28	,	,	PUNCT
ap-951	209	29	,	,	PUNCT
ap-951	209	30	�	�	PROPN
ap-951	209	31	,	,	PUNCT
ap-951	209	32	s	s	VERB
ap-951	209	33	g	g	PROPN
ap-951	209	34	s	s	PROPN
ap-951	209	35	ga	ga	PROPN
ap-951	209	36	a	a	DET
ap-951	209	37	�	�	PROPN
ap-951	209	38	�	�	PROPN
ap-951	209	39	1	1	NUM
ap-951	209	40	0	0	NUM
ap-951	209	41	(	(	PUNCT
ap-951	209	42	)	)	PUNCT
ap-951	209	43	,	,	PUNCT
ap-951	209	44	where	where	SCONJ
ap-951	209	45	sa	sa	PROPN
ap-951	209	46	(	(	PUNCT
ap-951	209	47	)	)	PUNCT
ap-951	209	48	0	0	NUM
ap-951	209	49	is	be	AUX
ap-951	209	50	a	a	DET
ap-951	209	51	fixed	fix	VERB
ap-951	209	52	element	element	NOUN
ap-951	209	53	of	of	ADP
ap-951	209	54	gl	gl	PROPN
ap-951	209	55	(	(	PUNCT
ap-951	209	56	,	,	PUNCT
ap-951	209	57	)	)	PUNCT
ap-951	209	58	n	n	DET
ap-951	209	59	�	�	PROPN
ap-951	209	60	.	.	PUNCT
ap-951	210	1	in	in	ADP
ap-951	210	2	other	other	ADJ
ap-951	210	3	words	word	NOUN
ap-951	210	4	,	,	PUNCT
ap-951	210	5	sa	sa	PROPN
ap-951	210	6	belong	belong	VERB
ap-951	210	7	to	to	ADP
ap-951	210	8	coadjoint	coadjoint	NOUN
ap-951	210	9	orbits	orbit	NOUN
ap-951	210	10	a	a	PRON
ap-951	210	11	of	of	ADP
ap-951	210	12	gl	gl	PROPN
ap-951	210	13	(	(	PUNCT
ap-951	210	14	,	,	PUNCT
ap-951	210	15	)	)	PUNCT
ap-951	210	16	n	n	PRON
ap-951	210	17	�	�	PROPN
ap-951	210	18	.	.	PUNCT
ap-951	211	1	they	they	PRON
ap-951	211	2	play	play	VERB
ap-951	211	3	the	the	DET
ap-951	211	4	role	role	NOUN
ap-951	211	5	of	of	ADP
ap-951	211	6	non	non	ADJ
ap-951	211	7	-	-	ADJ
ap-951	211	8	abelian	abelian	ADJ
ap-951	211	9	charges	charge	NOUN
ap-951	211	10	located	locate	VERB
ap-951	211	11	at	at	ADP
ap-951	211	12	the	the	DET
ap-951	211	13	marked	mark	VERB
ap-951	211	14	points	point	NOUN
ap-951	211	15	.	.	PUNCT
ap-951	212	1	let	let	VERB
ap-951	212	2	�	�	PROPN
ap-951	212	3	�	�	PROPN
ap-951	212	4	t	t	PROPN
ap-951	212	5	�	�	PROPN
ap-951	212	6	,	,	PUNCT
ap-951	212	7	(	(	PUNCT
ap-951	212	8	,	,	PUNCT
ap-951	212	9	,	,	PUNCT
ap-951	212	10	)	)	PUNCT
ap-951	212	11	�	�	PROPN
ap-951	212	12	�	�	PROPN
ap-951	212	13	1	1	NUM
ap-951	212	14	2	2	NUM
ap-951	212	15	�	�	NOUN
ap-951	212	16	n	n	PRON
ap-951	212	17	be	be	AUX
ap-951	212	18	a	a	DET
ap-951	212	19	basis	basis	NOUN
ap-951	212	20	in	in	ADP
ap-951	212	21	the	the	DET
ap-951	212	22	lie	lie	NOUN
ap-951	212	23	algebra	algebra	PROPN
ap-951	212	24	gl	gl	PROPN
ap-951	212	25	(	(	PUNCT
ap-951	212	26	,	,	PUNCT
ap-951	212	27	)	)	PUNCT
ap-951	212	28	n	n	DET
ap-951	212	29	�	�	PROPN
ap-951	212	30	,	,	PUNCT
ap-951	212	31	[	[	PUNCT
ap-951	212	32	,	,	PUNCT
ap-951	212	33	]	]	PUNCT
ap-951	212	34	,	,	PUNCT
ap-951	212	35	t	t	PROPN
ap-951	212	36	t	t	PROPN
ap-951	212	37	c	c	PROPN
ap-951	212	38	t	t	PROPN
ap-951	212	39	�	�	PROPN
ap-951	212	40	�	�	PROPN
ap-951	212	41	�	�	PROPN
ap-951	212	42	�	�	PROPN
ap-951	212	43	�	�	PROPN
ap-951	212	44	�	�	PROPN
ap-951	212	45	�	�	PROPN
ap-951	212	46	.	.	PUNCT
ap-951	213	1	define	define	VERB
ap-951	213	2	the	the	DET
ap-951	213	3	poisson	poisson	NOUN
ap-951	213	4	structure	structure	NOUN
ap-951	213	5	on	on	ADP
ap-951	213	6	the	the	DET
ap-951	213	7	space	space	NOUN
ap-951	213	8	of	of	ADP
ap-951	213	9	fields	field	NOUN
ap-951	213	10	:	:	PUNCT
ap-951	213	11	1	1	X
ap-951	213	12	)	)	PUNCT
ap-951	213	13	darboux	darboux	ADJ
ap-951	213	14	brackets	bracket	NOUN
ap-951	213	15	of	of	ADP
ap-951	213	16	the	the	DET
ap-951	213	17	fields	field	NOUN
ap-951	213	18	(	(	PUNCT
ap-951	213	19	,	,	PUNCT
ap-951	213	20	)	)	PUNCT
ap-951	213	21	a	a	X
ap-951	213	22	:	:	PUNCT
ap-951	213	23	a	a	DET
ap-951	213	24	z	z	NOUN
ap-951	213	25	z	z	NOUN
ap-951	214	1	a	a	DET
ap-951	214	2	z	z	PROPN
ap-951	214	3	z	z	PROPN
ap-951	214	4	t	t	PROPN
ap-951	214	5	(	(	PUNCT
ap-951	214	6	,	,	PUNCT
ap-951	214	7	)	)	PUNCT
ap-951	214	8	(	(	PUNCT
ap-951	214	9	,	,	PUNCT
ap-951	214	10	)	)	PUNCT
ap-951	214	11	�	�	PROPN
ap-951	214	12	�	�	PROPN
ap-951	214	13	�	�	PROPN
ap-951	214	14	�	�	PROPN
ap-951	214	15	�	�	PROPN
ap-951	214	16	,	,	PUNCT
ap-951	214	17	(	(	PUNCT
ap-951	214	18	,	,	PUNCT
ap-951	214	19	)	)	PUNCT
ap-951	214	20	(	(	PUNCT
ap-951	214	21	,	,	PUNCT
ap-951	214	22	)	)	PUNCT
ap-951	214	23	w	w	PROPN
ap-951	214	24	w	w	PROPN
ap-951	214	25	w	w	PROPN
ap-951	214	26	w	w	PROPN
ap-951	214	27	t	t	PROPN
ap-951	214	28	�	�	PROPN
ap-951	214	29	�	�	PROPN
ap-951	214	30	�	�	PROPN
ap-951	214	31	�	�	PROPN
ap-951	214	32	�	�	PROPN
ap-951	214	33	.	.	PUNCT
ap-951	215	1	�	�	PROPN
ap-951	215	2	�	�	PROPN
ap-951	215	3	�	�	PROPN
ap-951	215	4	�	�	PROPN
ap-951	215	5	�	�	PROPN
ap-951	215	6	�	�	PROPN
ap-951	215	7	�	�	PROPN
ap-951	215	8	(	(	PUNCT
ap-951	215	9	,	,	PUNCT
ap-951	215	10	)	)	PUNCT
ap-951	215	11	,	,	PUNCT
ap-951	215	12	(	(	PUNCT
ap-951	215	13	,	,	PUNCT
ap-951	215	14	)	)	PUNCT
ap-951	215	15	(	(	PUNCT
ap-951	215	16	,	,	PUNCT
ap-951	215	17	)	)	PUNCT
ap-951	215	18	w	w	PROPN
ap-951	215	19	w	w	PROPN
ap-951	215	20	a	a	PRON
ap-951	215	21	z	z	NOUN
ap-951	215	22	z	z	NOUN
ap-951	215	23	t	t	NOUN
ap-951	216	1	t	t	PROPN
ap-951	216	2	z	z	PROPN
ap-951	216	3	w	w	PROPN
ap-951	216	4	z	z	PROPN
ap-951	216	5	w	w	PROPN
ap-951	216	6	�	�	PROPN
ap-951	216	7	�	�	PROPN
ap-951	216	8	�	�	PROPN
ap-951	216	9	,	,	PUNCT
ap-951	216	10	(	(	PUNCT
ap-951	216	11	�	�	NOUN
ap-951	216	12	�	�	NOUN
ap-951	216	13	=	=	NOUN
ap-951	216	14	trace	trace	NOUN
ap-951	216	15	in	in	ADP
ap-951	216	16	ad	ad	NOUN
ap-951	216	17	)	)	PUNCT
ap-951	216	18	2	2	NUM
ap-951	216	19	)	)	PUNCT
ap-951	216	20	linear	linear	ADJ
ap-951	216	21	lie	lie	NOUN
ap-951	216	22	brackets	bracket	NOUN
ap-951	216	23	for	for	ADP
ap-951	216	24	the	the	DET
ap-951	216	25	spin	spin	NOUN
ap-951	216	26	variables	variable	NOUN
ap-951	216	27	:	:	PUNCT
ap-951	216	28	sa	sa	NOUN
ap-951	216	29	as	as	ADP
ap-951	216	30	t	t	PROPN
ap-951	216	31	�	�	PROPN
ap-951	216	32	�	�	PROPN
ap-951	216	33	�	�	PROPN
ap-951	216	34	�	�	PROPN
ap-951	216	35	�	�	PROPN
ap-951	216	36	�	�	PROPN
ap-951	216	37	�	�	PROPN
ap-951	216	38	s	s	PART
ap-951	216	39	s	s	NOUN
ap-951	216	40	c	c	PROPN
ap-951	216	41	sa	sa	PROPN
ap-951	216	42	b	b	PROPN
ap-951	216	43	a	a	PRON
ap-951	216	44	b	b	NOUN
ap-951	216	45	a	a	DET
ap-951	216	46	�	�	PROPN
ap-951	216	47	�	�	PROPN
ap-951	216	48	�	�	PROPN
ap-951	216	49	�	�	PROPN
ap-951	216	50	�	�	PROPN
ap-951	216	51	�	�	PROPN
ap-951	216	52	�	�	PROPN
ap-951	216	53	�	�	PROPN
ap-951	216	54	,	,	PUNCT
ap-951	216	55	,	,	PUNCT
ap-951	216	56	�	�	PROPN
ap-951	216	57	.	.	PUNCT
ap-951	217	1	in	in	ADP
ap-951	217	2	this	this	DET
ap-951	217	3	way	way	NOUN
ap-951	217	4	we	we	PRON
ap-951	217	5	have	have	AUX
ap-951	217	6	defined	define	VERB
ap-951	217	7	the	the	DET
ap-951	217	8	phase	phase	NOUN
ap-951	217	9	space	space	NOUN
ap-951	217	10	�	�	PROPN
ap-951	217	11	�	�	PROPN
ap-951	217	12	(	(	PUNCT
ap-951	217	13	,	,	PUNCT
ap-951	217	14	,	,	PUNCT
ap-951	217	15	)	)	PUNCT
ap-951	217	16	a	a	DET
ap-951	217	17	a	a	DET
ap-951	217	18	s	s	NOUN
ap-951	217	19	.	.	PUNCT
ap-951	218	1	(	(	PUNCT
ap-951	218	2	4.2	4.2	NUM
ap-951	218	3	)	)	PUNCT
ap-951	218	4	the	the	DET
ap-951	218	5	poisson	poisson	NOUN
ap-951	218	6	brackets	bracket	NOUN
ap-951	218	7	are	be	AUX
ap-951	218	8	non	non	ADJ
ap-951	218	9	-	-	ADJ
ap-951	218	10	degenerate	degenerate	ADJ
ap-951	218	11	and	and	CCONJ
ap-951	218	12	the	the	DET
ap-951	218	13	space	space	NOUN
ap-951	218	14	�	�	PROPN
ap-951	218	15	is	be	AUX
ap-951	218	16	symplectic	symplectic	ADJ
ap-951	218	17	with	with	ADP
ap-951	218	18	the	the	DET
ap-951	218	19	form	form	NOUN
ap-951	218	20	�	�	PROPN
ap-951	218	21	�	�	PROPN
ap-951	218	22	�	�	PROPN
ap-951	218	23	�	�	PROPN
ap-951	218	24	�	�	PROPN
ap-951	218	25	�	�	PROPN
ap-951	218	26	�	�	PROPN
ap-951	218	27	�	�	PROPN
ap-951	218	28	�	�	PROPN
ap-951	218	29	�	�	PROPN
ap-951	218	30	�	�	PROPN
ap-951	218	31	0	0	NUM
ap-951	218	32	1	1	NUM
ap-951	218	33	a	a	DET
ap-951	218	34	a	a	DET
ap-951	218	35	a	a	DET
ap-951	218	36	a	a	DET
ap-951	218	37	n	n	NOUN
ap-951	218	38	z	z	NOUN
ap-951	219	1	x	x	SYM
ap-951	219	2	z	z	NOUN
ap-951	219	3	x	x	SYM
ap-951	219	4	g	g	NOUN
ap-951	219	5	n	n	PROPN
ap-951	219	6	(	(	PUNCT
ap-951	219	7	,	,	PUNCT
ap-951	219	8	)	)	PUNCT
ap-951	219	9	,	,	PUNCT
ap-951	219	10	�	�	PROPN
ap-951	219	11	,	,	PUNCT
ap-951	219	12	(	(	PUNCT
ap-951	219	13	4.3	4.3	NUM
ap-951	219	14	)	)	PUNCT
ap-951	219	15	�	�	PROPN
ap-951	219	16	0	0	NUM
ap-951	219	17	�	�	PROPN
ap-951	219	18	�	�	PROPN
ap-951	219	19	�	�	PROPN
ap-951	219	20	d	d	ADP
ap-951	219	21	da	da	PROPN
ap-951	219	22	g	g	PROPN
ap-951	219	23	n	n	PRON
ap-951	219	24	�	�	PROPN
ap-951	219	25	,	,	PUNCT
ap-951	219	26	,	,	PUNCT
ap-951	219	27	(	(	PUNCT
ap-951	219	28	4.4	4.4	NUM
ap-951	219	29	)	)	PUNCT
ap-951	219	30	�	�	PROPN
ap-951	219	31	a	a	DET
ap-951	219	32	ad	ad	NOUN
ap-951	219	33	s	s	X
ap-951	219	34	g	g	PROPN
ap-951	219	35	dg	dg	PROPN
ap-951	219	36	�	�	PROPN
ap-951	219	37	�	�	PROPN
ap-951	219	38	�	�	PROPN
ap-951	219	39	(	(	PUNCT
ap-951	219	40	)	)	PUNCT
ap-951	219	41	1	1	NUM
ap-951	219	42	.	.	PUNCT
ap-951	220	1	(	(	PUNCT
ap-951	220	2	4.5	4.5	NUM
ap-951	220	3	)	)	PUNCT
ap-951	220	4	the	the	DET
ap-951	220	5	last	last	ADJ
ap-951	220	6	form	form	NOUN
ap-951	220	7	is	be	AUX
ap-951	220	8	the	the	DET
ap-951	220	9	kirillov	kirillov	NOUN
ap-951	220	10	-	-	PUNCT
ap-951	220	11	kostant	kostant	NOUN
ap-951	220	12	form	form	NOUN
ap-951	220	13	on	on	ADP
ap-951	220	14	the	the	DET
ap-951	220	15	coadjoint	coadjoint	NOUN
ap-951	220	16	orbits	orbit	NOUN
ap-951	220	17	.	.	PUNCT
ap-951	221	1	the	the	DET
ap-951	221	2	fields	field	NOUN
ap-951	221	3	(	(	PUNCT
ap-951	221	4	,	,	PUNCT
ap-951	221	5	)	)	PUNCT
ap-951	221	6	a	a	PRON
ap-951	221	7	are	be	AUX
ap-951	221	8	holomorphic	holomorphic	ADJ
ap-951	221	9	coordinates	coordinate	NOUN
ap-951	221	10	on	on	ADP
ap-951	221	11	�	�	PROPN
ap-951	221	12	and	and	CCONJ
ap-951	221	13	the	the	DET
ap-951	221	14	form	form	NOUN
ap-951	221	15	�	�	PROPN
ap-951	221	16	0	0	NUM
ap-951	221	17	is	be	AUX
ap-951	221	18	the	the	DET
ap-951	221	19	(	(	PUNCT
ap-951	221	20	2,0)-form	2,0)-form	NUM
ap-951	221	21	in	in	ADP
ap-951	221	22	this	this	DET
ap-951	221	23	complex	complex	ADJ
ap-951	221	24	structure	structure	NOUN
ap-951	221	25	on	on	ADP
ap-951	221	26	�	�	PROPN
ap-951	221	27	.	.	PUNCT
ap-951	222	1	similarly	similarly	ADV
ap-951	222	2	,	,	PUNCT
ap-951	222	3	(	(	PUNCT
ap-951	222	4	,	,	PUNCT
ap-951	222	5	)	)	PUNCT
ap-951	222	6	s	s	PROPN
ap-951	222	7	g	g	PROPN
ap-951	222	8	ga	ga	PROPN
ap-951	222	9	�	�	PROPN
ap-951	222	10	1	1	NUM
ap-951	222	11	are	be	AUX
ap-951	222	12	holomorphic	holomorphic	ADJ
ap-951	222	13	coordinates	coordinate	NOUN
ap-951	222	14	on	on	ADP
ap-951	222	15	the	the	DET
ap-951	222	16	orbit	orbit	NOUN
ap-951	222	17	a	a	PRON
ap-951	222	18	,	,	PUNCT
ap-951	222	19	and	and	CCONJ
ap-951	222	20	�	�	PROPN
ap-951	222	21	a	a	PRON
ap-951	222	22	is	be	AUX
ap-951	222	23	also	also	ADV
ap-951	222	24	(	(	PUNCT
ap-951	222	25	2,0	2,0	NUM
ap-951	222	26	)	)	PUNCT
ap-951	222	27	form	form	NOUN
ap-951	222	28	.	.	PUNCT
ap-951	223	1	4.1.2	4.1.2	NUM
ap-951	223	2	hamiltonians	hamiltonian	NOUN
ap-951	223	3	the	the	DET
ap-951	223	4	traces	trace	NOUN
ap-951	223	5	j	j	PROPN
ap-951	223	6	(	(	PUNCT
ap-951	223	7	j	j	PROPN
ap-951	223	8	n	n	CCONJ
ap-951	223	9	�	�	PROPN
ap-951	223	10	1	1	NUM
ap-951	223	11	,	,	PUNCT
ap-951	223	12	,	,	PUNCT
ap-951	223	13	�	�	PROPN
ap-951	223	14	)	)	PUNCT
ap-951	223	15	of	of	ADP
ap-951	223	16	the	the	DET
ap-951	223	17	higgs	higgs	NOUN
ap-951	223	18	field	field	NOUN
ap-951	223	19	are	be	AUX
ap-951	223	20	periodic	periodic	ADJ
ap-951	223	21	(	(	PUNCT
ap-951	223	22	j	j	NOUN
ap-951	223	23	,	,	PUNCT
ap-951	223	24	0)-forms	0)-forms	PROPN
ap-951	223	25	�	�	PROPN
ap-951	223	26	�	�	PROPN
ap-951	223	27	(	(	PUNCT
ap-951	223	28	,	,	PUNCT
ap-951	223	29	)	)	PUNCT
ap-951	223	30	,	,	PUNCT
ap-951	223	31	(	(	PUNCT
ap-951	223	32	)	)	PUNCT
ap-951	223	33	j	j	PROPN
ap-951	223	34	g	g	PROPN
ap-951	223	35	n	n	PROPN
ap-951	223	36	0	0	NUM
ap-951	223	37	with	with	ADP
ap-951	223	38	holomorphic	holomorphic	ADJ
ap-951	223	39	poles	pole	NOUN
ap-951	223	40	of	of	ADP
ap-951	223	41	order	order	NOUN
ap-951	223	42	j	j	PROPN
ap-951	223	43	at	at	ADP
ap-951	223	44	the	the	DET
ap-951	223	45	marked	mark	VERB
ap-951	223	46	points	point	NOUN
ap-951	223	47	.	.	PUNCT
ap-951	224	1	to	to	PART
ap-951	224	2	construct	construct	VERB
ap-951	224	3	integrals	integral	NOUN
ap-951	224	4	from	from	ADP
ap-951	224	5	j	j	PROPN
ap-951	224	6	one	one	PRON
ap-951	224	7	should	should	AUX
ap-951	224	8	integrate	integrate	VERB
ap-951	224	9	them	they	PRON
ap-951	224	10	over	over	ADP
ap-951	224	11	�	�	PROPN
ap-951	224	12	g	g	PROPN
ap-951	224	13	n	n	CCONJ
ap-951	224	14	,	,	PUNCT
ap-951	224	15	and	and	CCONJ
ap-951	224	16	to	to	ADP
ap-951	224	17	this	this	DET
ap-951	224	18	end	end	NOUN
ap-951	224	19	prepare	prepare	NOUN
ap-951	224	20	(	(	PUNCT
ap-951	224	21	1	1	NUM
ap-951	224	22	,	,	PUNCT
ap-951	224	23	1)-forms	1)-forms	NUM
ap-951	224	24	from	from	ADP
ap-951	224	25	the	the	DET
ap-951	224	26	(	(	PUNCT
ap-951	224	27	j	j	PROPN
ap-951	224	28	,	,	PUNCT
ap-951	224	29	0)-forms	0)-forms	PROPN
ap-951	224	30	.	.	PUNCT
ap-951	225	1	for	for	ADP
ap-951	225	2	this	this	DET
ap-951	225	3	purpose	purpose	NOUN
ap-951	225	4	consider	consider	VERB
ap-951	225	5	the	the	DET
ap-951	225	6	space	space	NOUN
ap-951	225	7	of	of	ADP
ap-951	225	8	smooth	smooth	ADJ
ap-951	225	9	(	(	PUNCT
ap-951	225	10	1	1	NUM
ap-951	225	11	�	�	PROPN
ap-951	225	12	j	j	PROPN
ap-951	225	13	,	,	PUNCT
ap-951	225	14	1)-differentials	1)-differentials	NUM
ap-951	225	15	�	�	PROPN
ap-951	225	16	�	�	PROPN
ap-951	225	17	(	(	PUNCT
ap-951	225	18	,	,	PUNCT
ap-951	225	19	)	)	PUNCT
ap-951	225	20	,	,	PUNCT
ap-951	225	21	(	(	PUNCT
ap-951	225	22	\	\	NOUN
ap-951	225	23	)	)	PUNCT
ap-951	225	24	1	1	NUM
ap-951	225	25	1	1	NUM
ap-951	225	26	�	�	PROPN
ap-951	225	27	j	j	PROPN
ap-951	225	28	g	g	PROPN
ap-951	225	29	n	n	PROPN
ap-951	225	30	d	d	NOUN
ap-951	225	31	vanishing	vanish	VERB
ap-951	225	32	at	at	ADP
ap-951	225	33	the	the	DET
ap-951	225	34	marked	mark	VERB
ap-951	225	35	points	point	NOUN
ap-951	225	36	.	.	PUNCT
ap-951	226	1	locally	locally	ADV
ap-951	226	2	,	,	PUNCT
ap-951	226	3	they	they	PRON
ap-951	226	4	are	be	AUX
ap-951	226	5	represented	represent	VERB
ap-951	226	6	as	as	ADP
ap-951	226	7	�	�	PROPN
ap-951	226	8	�	�	PROPN
ap-951	226	9	�	�	PROPN
ap-951	226	10	�	�	PROPN
ap-951	226	11	j	j	PROPN
ap-951	226	12	j	j	PROPN
ap-951	226	13	z	z	PROPN
ap-951	226	14	jz	jz	PROPN
ap-951	226	15	z	z	PROPN
ap-951	226	16	dz	dz	PROPN
ap-951	226	17	�	�	PROPN
ap-951	226	18	"	"	PUNCT
ap-951	226	19	�	�	PROPN
ap-951	226	20	(	(	PUNCT
ap-951	226	21	,	,	PUNCT
ap-951	226	22	)	)	PUNCT
ap-951	226	23	(	(	PUNCT
ap-951	226	24	)	)	PUNCT
ap-951	226	25	1	1	X
ap-951	226	26	.	.	PUNCT
ap-951	227	1	in	in	ADP
ap-951	227	2	other	other	ADJ
ap-951	227	3	words	word	NOUN
ap-951	227	4	�	�	PROPN
ap-951	227	5	j	j	PROPN
ap-951	227	6	are	be	AUX
ap-951	227	7	(	(	PUNCT
ap-951	227	8	0,1)-forms	0,1)-forms	NUM
ap-951	227	9	taking	take	VERB
ap-951	227	10	values	value	NOUN
ap-951	227	11	in	in	ADP
ap-951	227	12	degrees	degree	NOUN
ap-951	227	13	of	of	ADP
ap-951	227	14	vector	vector	NOUN
ap-951	227	15	fields	field	NOUN
ap-951	227	16	on	on	ADP
ap-951	227	17	�	�	PROPN
ap-951	227	18	g	g	PROPN
ap-951	227	19	n	n	PROPN
ap-951	227	20	d	d	PROPN
ap-951	227	21	,	,	PUNCT
ap-951	227	22	\	\	PROPN
ap-951	227	23	.	.	PUNCT
ap-951	228	1	for	for	ADP
ap-951	228	2	example	example	NOUN
ap-951	228	3	,	,	PUNCT
ap-951	228	4	�	�	PROPN
ap-951	228	5	2	2	NUM
ap-951	228	6	is	be	AUX
ap-951	228	7	the	the	DET
ap-951	228	8	beltrami	beltrami	ADJ
ap-951	228	9	differential	differential	NOUN
ap-951	228	10	.	.	PUNCT
ap-951	229	1	the	the	DET
ap-951	229	2	product	product	NOUN
ap-951	229	3	j	j	PROPN
ap-951	229	4	j	j	PROPN
ap-951	229	5	�	�	PROPN
ap-951	229	6	can	can	AUX
ap-951	229	7	be	be	AUX
ap-951	229	8	integrated	integrate	VERB
ap-951	229	9	over	over	ADP
ap-951	229	10	the	the	DET
ap-951	229	11	surface	surface	NOUN
ap-951	229	12	.	.	PUNCT
ap-951	230	1	we	we	PRON
ap-951	230	2	explain	explain	VERB
ap-951	230	3	below	below	ADP
ap-951	230	4	that	that	DET
ap-951	230	5	�	�	PROPN
ap-951	230	6	j	j	PROPN
ap-951	230	7	can	can	AUX
ap-951	230	8	be	be	AUX
ap-951	230	9	chosen	choose	VERB
ap-951	230	10	as	as	ADP
ap-951	230	11	elements	element	NOUN
ap-951	230	12	of	of	ADP
ap-951	230	13	the	the	DET
ap-951	230	14	basis	basis	NOUN
ap-951	230	15	in	in	ADP
ap-951	230	16	the	the	DET
ap-951	230	17	cohomology	cohomology	NOUN
ap-951	230	18	space	space	NOUN
ap-951	230	19	h	h	NOUN
ap-951	230	20	dg	dg	PROPN
ap-951	230	21	n	n	PROPN
ap-951	230	22	j1	j1	PROPN
ap-951	230	23	1	1	NUM
ap-951	230	24	(	(	PUNCT
ap-951	230	25	\	\	NOUN
ap-951	230	26	,	,	PUNCT
ap-951	230	27	)	)	PUNCT
ap-951	230	28	,	,	PUNCT
ap-951	230	29	�	�	PROPN
ap-951	230	30	"	"	PUNCT
ap-951	230	31	�	�	PROPN
ap-951	230	32	.	.	PUNCT
ap-951	231	1	this	this	DET
ap-951	231	2	space	space	NOUN
ap-951	231	3	has	have	AUX
ap-951	231	4	dimension	dimension	NOUN
ap-951	231	5	n	n	PRON
ap-951	231	6	h	h	NOUN
ap-951	232	1	d	d	X
ap-951	232	2	j	j	PROPN
ap-951	232	3	g	g	PROPN
ap-951	232	4	jn	jn	PROPN
ap-951	232	5	j	j	PROPN
ap-951	233	1	g	g	PROPN
ap-951	233	2	jj	jj	PROPN
ap-951	233	3	g	g	PROPN
ap-951	233	4	n	n	PROPN
ap-951	233	5	j	j	PROPN
ap-951	233	6	�	�	PROPN
ap-951	233	7	�	�	PROPN
ap-951	233	8	�	�	PROPN
ap-951	233	9	�	�	PROPN
ap-951	233	10	�	�	PROPN
ap-951	233	11	�	�	PROPN
ap-951	233	12	�	�	PROPN
ap-951	233	13	�	�	PROPN
ap-951	233	14	�	�	PROPN
ap-951	233	15	"	"	PUNCT
ap-951	233	16	�	�	NOUN
ap-951	233	17	dim	dim	NOUN
ap-951	233	18	(	(	PUNCT
ap-951	233	19	\	\	NOUN
ap-951	233	20	,	,	PUNCT
ap-951	233	21	)	)	PUNCT
ap-951	233	22	(	(	PUNCT
ap-951	233	23	)	)	PUNCT
ap-951	233	24	(	(	PUNCT
ap-951	233	25	)	)	PUNCT
ap-951	233	26	,	,	PUNCT
ap-951	233	27	1	1	NUM
ap-951	233	28	1	1	NUM
ap-951	233	29	2	2	NUM
ap-951	233	30	1	1	NUM
ap-951	233	31	1	1	NUM
ap-951	233	32	1	1	NUM
ap-951	233	33	1	1	NUM
ap-951	233	34	�	�	PROPN
ap-951	233	35	(	(	PUNCT
ap-951	233	36	4.6	4.6	NUM
ap-951	233	37	)	)	PUNCT
ap-951	233	38	let	let	VERB
ap-951	233	39	�	�	PROPN
ap-951	233	40	j	j	PROPN
ap-951	233	41	,	,	PUNCT
ap-951	233	42	k	k	PROPN
ap-951	233	43	be	be	VERB
ap-951	233	44	a	a	DET
ap-951	233	45	basis	basis	NOUN
ap-951	233	46	in	in	ADP
ap-951	233	47	h	h	NOUN
ap-951	233	48	dg	dg	PROPN
ap-951	233	49	n	n	PROPN
ap-951	233	50	j1	j1	PROPN
ap-951	233	51	1	1	NUM
ap-951	233	52	(	(	PUNCT
ap-951	233	53	\	\	NOUN
ap-951	233	54	,	,	PUNCT
ap-951	233	55	)	)	PUNCT
ap-951	233	56	,	,	PUNCT
ap-951	233	57	�	�	PROPN
ap-951	233	58	"	"	PUNCT
ap-951	233	59	�	�	PROPN
ap-951	233	60	,	,	PUNCT
ap-951	233	61	(	(	PUNCT
ap-951	233	62	k	k	PROPN
ap-951	233	63	n	n	PROPN
ap-951	233	64	j	j	PROPN
ap-951	233	65	�	�	PROPN
ap-951	233	66	1	1	NUM
ap-951	233	67	,	,	PUNCT
ap-951	233	68	,	,	PUNCT
ap-951	233	69	�	�	PROPN
ap-951	233	70	)	)	PUNCT
ap-951	233	71	.	.	PUNCT
ap-951	234	1	the	the	DET
ap-951	234	2	product	product	NOUN
ap-951	234	3	�	�	PROPN
ap-951	234	4	j	j	PROPN
ap-951	234	5	k	k	PROPN
ap-951	234	6	j	j	PROPN
ap-951	234	7	,	,	PUNCT
ap-951	234	8	can	can	AUX
ap-951	234	9	be	be	AUX
ap-951	234	10	integrated	integrate	VERB
ap-951	234	11	to	to	PART
ap-951	234	12	define	define	VERB
ap-951	234	13	the	the	DET
ap-951	234	14	hamiltonians	hamiltonian	NOUN
ap-951	235	1	i	i	PRON
ap-951	235	2	jj	jj	PROPN
ap-951	235	3	k	k	PROPN
ap-951	235	4	j	j	PROPN
ap-951	236	1	k	k	PROPN
ap-951	236	2	j	j	PROPN
ap-951	236	3	g	g	PROPN
ap-951	236	4	n	n	PROPN
ap-951	236	5	,	,	PUNCT
ap-951	236	6	,	,	PUNCT
ap-951	236	7	,	,	PUNCT
ap-951	236	8	�	�	PROPN
ap-951	236	9	�	�	PROPN
ap-951	236	10	1	1	NUM
ap-951	236	11	�	�	PROPN
ap-951	236	12	�	�	PROPN
ap-951	236	13	,	,	PUNCT
ap-951	236	14	j	j	PROPN
ap-951	236	15	n	n	CCONJ
ap-951	236	16	�	�	PROPN
ap-951	236	17	1	1	NUM
ap-951	236	18	,	,	PUNCT
ap-951	236	19	,	,	PUNCT
ap-951	236	20	�	�	PROPN
ap-951	236	21	.	.	PUNCT
ap-951	237	1	(	(	PUNCT
ap-951	237	2	4.7	4.7	NUM
ap-951	237	3	)	)	PUNCT
ap-951	237	4	it	it	PRON
ap-951	237	5	follows	follow	VERB
ap-951	237	6	from	from	ADP
ap-951	237	7	(	(	PUNCT
ap-951	237	8	4.6	4.6	NUM
ap-951	237	9	)	)	PUNCT
ap-951	237	10	that	that	SCONJ
ap-951	237	11	the	the	DET
ap-951	237	12	number	number	NOUN
ap-951	237	13	of	of	ADP
ap-951	237	14	independent	independent	ADJ
ap-951	237	15	integrals	integral	NOUN
ap-951	237	16	nj	nj	PROPN
ap-951	237	17	�	�	PROPN
ap-951	237	18	for	for	ADP
ap-951	237	19	gl	gl	PROPN
ap-951	237	20	(	(	PUNCT
ap-951	237	21	,	,	PUNCT
ap-951	237	22	)	)	PUNCT
ap-951	237	23	n	n	CCONJ
ap-951	237	24	�	�	PROPN
ap-951	237	25	is	be	AUX
ap-951	237	26	d	d	PROPN
ap-951	237	27	n	n	ADP
ap-951	237	28	g	g	PROPN
ap-951	237	29	n	n	CCONJ
ap-951	237	30	n	n	CCONJ
ap-951	237	31	n	n	CCONJ
ap-951	237	32	n	n	CCONJ
ap-951	237	33	n	n	CCONJ
ap-951	237	34	g	g	PROPN
ap-951	237	35	n	n	CCONJ
ap-951	237	36	j	j	PROPN
ap-951	237	37	j	j	PROPN
ap-951	237	38	n	n	PROPN
ap-951	237	39	,	,	PUNCT
ap-951	237	40	,	,	PUNCT
ap-951	237	41	(	(	PUNCT
ap-951	237	42	)	)	PUNCT
ap-951	237	43	(	(	PUNCT
ap-951	237	44	)	)	PUNCT
ap-951	237	45	�	�	PROPN
ap-951	237	46	�	�	PROPN
ap-951	237	47	�	�	PROPN
ap-951	237	48	�	�	PROPN
ap-951	237	49	�	�	PROPN
ap-951	237	50	�	�	PROPN
ap-951	237	51	1	1	NUM
ap-951	237	52	1	1	NUM
ap-951	237	53	1	1	NUM
ap-951	237	54	2	2	NUM
ap-951	237	55	2	2	NUM
ap-951	237	56	1	1	NUM
ap-951	237	57	.	.	PUNCT
ap-951	238	1	(	(	PUNCT
ap-951	238	2	4.8	4.8	NUM
ap-951	238	3	)	)	PUNCT
ap-951	238	4	since	since	SCONJ
ap-951	238	5	�	�	PROPN
ap-951	238	6	0	0	NUM
ap-951	238	7	for	for	ADP
ap-951	238	8	sl	sl	PROPN
ap-951	238	9	(	(	PUNCT
ap-951	238	10	,	,	PUNCT
ap-951	238	11	)	)	PUNCT
ap-951	238	12	n	n	CCONJ
ap-951	238	13	�	�	VERB
ap-951	238	14	the	the	DET
ap-951	238	15	number	number	NOUN
ap-951	238	16	of	of	ADP
ap-951	238	17	independent	independent	ADJ
ap-951	238	18	integrals	integral	NOUN
ap-951	238	19	is	be	AUX
ap-951	238	20	d	d	PRON
ap-951	238	21	n	n	ADP
ap-951	238	22	g	g	PROPN
ap-951	238	23	n	n	CCONJ
ap-951	238	24	n	n	CCONJ
ap-951	238	25	n	n	CCONJ
ap-951	238	26	n	n	CCONJ
ap-951	238	27	n	n	CCONJ
ap-951	238	28	g	g	PROPN
ap-951	238	29	n	n	CCONJ
ap-951	238	30	j	j	PROPN
ap-951	238	31	j	j	PROPN
ap-951	238	32	n	n	PROPN
ap-951	238	33	,	,	PUNCT
ap-951	238	34	,	,	PUNCT
ap-951	238	35	(	(	PUNCT
ap-951	238	36	)	)	PUNCT
ap-951	238	37	(	(	PUNCT
ap-951	238	38	)	)	PUNCT
ap-951	238	39	(	(	PUNCT
ap-951	238	40	)	)	PUNCT
ap-951	238	41	�	�	PROPN
ap-951	238	42	�	�	PROPN
ap-951	238	43	�	�	PROPN
ap-951	238	44	�	�	PROPN
ap-951	238	45	�	�	PROPN
ap-951	238	46	�	�	PROPN
ap-951	238	47	�	�	PROPN
ap-951	238	48	1	1	NUM
ap-951	238	49	1	1	NUM
ap-951	238	50	1	1	NUM
ap-951	238	51	2	2	NUM
ap-951	238	52	2	2	NUM
ap-951	238	53	2	2	NUM
ap-951	238	54	.	.	PUNCT
ap-951	239	1	(	(	PUNCT
ap-951	239	2	4.9	4.9	NUM
ap-951	239	3	)	)	PUNCT
ap-951	239	4	©	©	PROPN
ap-951	239	5	czech	czech	PROPN
ap-951	239	6	technical	technical	PROPN
ap-951	239	7	university	university	PROPN
ap-951	239	8	publishing	publishing	NOUN
ap-951	239	9	house	house	NOUN
ap-951	239	10	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-951	239	11	9	9	NUM
ap-951	239	12	acta	acta	PROPN
ap-951	239	13	polytechnica	polytechnica	PROPN
ap-951	239	14	vol	vol	NOUN
ap-951	239	15	.	.	PUNCT
ap-951	240	1	48	48	NUM
ap-951	240	2	no	no	NOUN
ap-951	240	3	.	.	PUNCT
ap-951	241	1	2/2008	2/2008	NUM
ap-951	241	2	fig	fig	NOUN
ap-951	241	3	.	.	PUNCT
ap-951	242	1	1	1	NUM
ap-951	242	2	:	:	PUNCT
ap-951	242	3	(	(	PUNCT
ap-951	242	4	,	,	PUNCT
ap-951	242	5	,	,	PUNCT
ap-951	242	6	)	)	PUNCT
ap-951	242	7	x	x	SYM
ap-951	242	8	x1	x1	PROPN
ap-951	242	9	4	4	NUM
ap-951	242	10	�	�	NOUN
ap-951	242	11	–	–	PUNCT
ap-951	242	12	marked	mark	VERB
ap-951	242	13	points	point	NOUN
ap-951	242	14	the	the	DET
ap-951	242	15	integrals	integral	NOUN
ap-951	242	16	i(j	i(j	ADP
ap-951	242	17	,	,	PUNCT
ap-951	242	18	k	k	NOUN
ap-951	242	19	)	)	PUNCT
ap-951	242	20	are	be	AUX
ap-951	242	21	independent	independent	ADJ
ap-951	242	22	and	and	CCONJ
ap-951	242	23	poisson	poisson	PROPN
ap-951	242	24	commute	commute	PROPN
ap-951	242	25	�	�	PROPN
ap-951	242	26	�	�	PROPN
ap-951	242	27	i	i	NOUN
ap-951	242	28	ij	ij	NOUN
ap-951	243	1	k	k	PROPN
ap-951	243	2	j	j	PROPN
ap-951	243	3	k	k	PROPN
ap-951	243	4	(	(	PUNCT
ap-951	243	5	,	,	PUNCT
ap-951	243	6	)	)	PUNCT
ap-951	243	7	(	(	PUNCT
ap-951	243	8	,	,	PUNCT
ap-951	243	9	)	)	PUNCT
ap-951	243	10	,	,	PUNCT
ap-951	243	11	1	1	NUM
ap-951	243	12	1	1	NUM
ap-951	243	13	2	2	NUM
ap-951	243	14	2	2	NUM
ap-951	243	15	0	0	NUM
ap-951	243	16	�	�	PROPN
ap-951	243	17	.	.	PUNCT
ap-951	244	1	(	(	PUNCT
ap-951	244	2	4.10	4.10	NUM
ap-951	244	3	)	)	PUNCT
ap-951	244	4	thus	thus	ADV
ap-951	244	5	we	we	PRON
ap-951	244	6	come	come	VERB
ap-951	244	7	to	to	AUX
ap-951	244	8	dn	dn	VERB
ap-951	244	9	g	g	PROPN
ap-951	244	10	n	n	CCONJ
ap-951	244	11	,	,	PUNCT
ap-951	244	12	,	,	PUNCT
ap-951	244	13	commuting	commute	VERB
ap-951	244	14	flows	flow	NOUN
ap-951	244	15	on	on	ADP
ap-951	244	16	the	the	DET
ap-951	244	17	phase	phase	NOUN
ap-951	244	18	space	space	NOUN
ap-951	244	19	�	�	PROPN
ap-951	244	20	(	(	PUNCT
ap-951	244	21	,	,	PUNCT
ap-951	244	22	,	,	PUNCT
ap-951	244	23	)	)	PUNCT
ap-951	244	24	a	a	DET
ap-951	244	25	a	a	DET
ap-951	244	26	s	s	X
ap-951	244	27	�	�	PROPN
ap-951	244	28	�	�	PROPN
ap-951	244	29	�	�	PROPN
ap-951	244	30	�	�	PROPN
ap-951	244	31	t	t	PROPN
ap-951	244	32	i	i	PRON
ap-951	244	33	j	j	PROPN
ap-951	244	34	,	,	PUNCT
ap-951	244	35	k	k	PROPN
ap-951	244	36	j	j	PROPN
ap-951	244	37	,	,	PUNCT
ap-951	244	38	k	k	PROPN
ap-951	244	39	�	�	PROPN
ap-951	244	40	!	!	PUNCT
ap-951	244	41	�	�	PROPN
ap-951	244	42	,	,	PUNCT
ap-951	244	43	0	0	NUM
ap-951	244	44	,	,	PUNCT
ap-951	244	45	(	(	PUNCT
ap-951	244	46	4.11	4.11	NUM
ap-951	244	47	)	)	PUNCT
ap-951	244	48	�	�	PROPN
ap-951	244	49	�	�	PROPN
ap-951	244	50	�	�	PROPN
ap-951	244	51	t	t	PROPN
ap-951	244	52	a	a	DET
ap-951	244	53	j	j	PROPN
ap-951	244	54	,	,	PUNCT
ap-951	244	55	k	k	PROPN
ap-951	244	56	j	j	PROPN
ap-951	244	57	,	,	PUNCT
ap-951	244	58	k	k	PROPN
ap-951	244	59	j	j	PROPN
ap-951	244	60	�	�	PROPN
ap-951	244	61	�	�	PROPN
ap-951	244	62	1	1	NUM
ap-951	244	63	,	,	PUNCT
ap-951	244	64	(	(	PUNCT
ap-951	244	65	4.12	4.12	NUM
ap-951	244	66	)	)	PUNCT
ap-951	244	67	�	�	PROPN
ap-951	244	68	�	�	PROPN
ap-951	244	69	tj	tj	PROPN
ap-951	244	70	,	,	PUNCT
ap-951	244	71	k	k	PROPN
ap-951	244	72	as	as	ADP
ap-951	244	73	�	�	PROPN
ap-951	244	74	0.res	0.re	NOUN
ap-951	244	75	z	z	NOUN
ap-951	244	76	x	x	DET
ap-951	244	77	a	a	PRON
ap-951	244	78	a	a	DET
ap-951	244	79	s	s	PROPN
ap-951	244	80	�	�	PROPN
ap-951	244	81	�	�	PROPN
ap-951	244	82	(	(	PUNCT
ap-951	244	83	4.13	4.13	NUM
ap-951	244	84	)	)	PUNCT
ap-951	244	85	4.1.3	4.1.3	NUM
ap-951	244	86	action	action	NOUN
ap-951	244	87	and	and	CCONJ
ap-951	244	88	gauge	gauge	NOUN
ap-951	244	89	symmetries	symmetry	NOUN
ap-951	244	90	the	the	DET
ap-951	244	91	same	same	ADJ
ap-951	244	92	theory	theory	NOUN
ap-951	244	93	can	can	AUX
ap-951	244	94	be	be	AUX
ap-951	244	95	described	describe	VERB
ap-951	244	96	by	by	ADP
ap-951	244	97	the	the	DET
ap-951	244	98	action	action	NOUN
ap-951	244	99	�	�	PROPN
ap-951	244	100	�	�	PROPN
ap-951	244	101	�	�	PROPN
ap-951	244	102	�	�	PROPN
ap-951	244	103	�	�	PROPN
ap-951	244	104	�	�	PROPN
ap-951	244	105	�	�	PROPN
ap-951	244	106	�	�	PROPN
ap-951	244	107	�	�	PROPN
ap-951	244	108	�	�	PROPN
ap-951	244	109	�	�	PROPN
ap-951	244	110	�	�	PROPN
ap-951	244	111	�	�	PROPN
ap-951	244	112	�	�	PROPN
ap-951	244	113	�	�	PROPN
ap-951	244	114	�	�	PROPN
ap-951	244	115	�	�	PROPN
ap-951	244	116	�	�	PROPN
ap-951	244	117	�	�	PROPN
ap-951	244	118	j	j	PROPN
ap-951	244	119	k	k	PROPN
ap-951	244	120	k	k	PROPN
ap-951	245	1	n	n	CCONJ
ap-951	245	2	j	j	PROPN
ap-951	245	3	n	n	CCONJ
ap-951	245	4	a	a	PRON
ap-951	245	5	a	a	DET
ap-951	245	6	a	a	DET
ap-951	245	7	a	a	DET
ap-951	245	8	z	z	NOUN
ap-951	245	9	x	x	SYM
ap-951	245	10	z	z	NOUN
ap-951	245	11	x	x	SYM
ap-951	246	1	g	g	PROPN
ap-951	246	2	nj	nj	PROPN
ap-951	247	1	k	k	PROPN
ap-951	247	2	j	j	PROPN
ap-951	247	3	,	,	PUNCT
ap-951	247	4	,	,	PUNCT
ap-951	247	5	,	,	PUNCT
ap-951	247	6	(	(	PUNCT
ap-951	247	7	,	,	PUNCT
ap-951	247	8	)	)	PUNCT
ap-951	247	9	�	�	PROPN
ap-951	247	10	12	12	NUM
ap-951	247	11	s	s	NOUN
ap-951	247	12	g	g	NOUN
ap-951	247	13	g	g	NOUN
ap-951	248	1	i	i	PRON
ap-951	248	2	dta	dta	VERB
ap-951	248	3	j	j	PROPN
ap-951	249	1	k	k	PROPN
ap-951	249	2	a	a	PRON
ap-951	249	3	j	j	PROPN
ap-951	250	1	k	k	PROPN
ap-951	250	2	a	a	PROPN
ap-951	250	3	n	n	PROPN
ap-951	250	4	j	j	PROPN
ap-951	250	5	k	k	PROPN
ap-951	250	6	�	�	PROPN
ap-951	250	7	�	�	PROPN
ap-951	250	8	�	�	PROPN
ap-951	250	9	�	�	PROPN
ap-951	250	10	�	�	PROPN
ap-951	250	11	�	�	PROPN
ap-951	250	12	�	�	PROPN
ap-951	250	13	�	�	PROPN
ap-951	250	14	1	1	NUM
ap-951	250	15	1	1	NUM
ap-951	250	16	�	�	PROPN
ap-951	250	17	,	,	PUNCT
ap-951	250	18	,	,	PUNCT
ap-951	250	19	,	,	PUNCT
ap-951	250	20	where	where	SCONJ
ap-951	250	21	the	the	DET
ap-951	250	22	time	time	NOUN
ap-951	250	23	-	-	PUNCT
ap-951	250	24	like	like	ADJ
ap-951	250	25	wilson	wilson	PROPN
ap-951	250	26	lines	line	NOUN
ap-951	250	27	at	at	ADP
ap-951	250	28	the	the	DET
ap-951	250	29	marked	mark	VERB
ap-951	250	30	points	point	NOUN
ap-951	250	31	are	be	AUX
ap-951	250	32	included	include	VERB
ap-951	250	33	.	.	PUNCT
ap-951	251	1	the	the	DET
ap-951	251	2	action	action	NOUN
ap-951	251	3	is	be	AUX
ap-951	251	4	gauge	gauge	ADJ
ap-951	251	5	invariant	invariant	ADJ
ap-951	251	6	with	with	ADP
ap-951	251	7	respect	respect	NOUN
ap-951	251	8	to	to	ADP
ap-951	251	9	the	the	DET
ap-951	251	10	gauge	gauge	NOUN
ap-951	251	11	group	group	NOUN
ap-951	251	12	�	�	PROPN
ap-951	251	13	�	�	PROPN
ap-951	251	14	�	�	PROPN
ap-951	251	15	�	�	PROPN
ap-951	251	16	�	�	PROPN
ap-951	251	17	�	�	PROPN
ap-951	251	18	�	�	PROPN
ap-951	251	19	smooth	smooth	ADJ
ap-951	251	20	maps	map	NOUN
ap-951	251	21	:	:	PUNCT
ap-951	251	22	gl	gl	X
ap-951	251	23	�	�	PROPN
ap-951	251	24	g	g	PROPN
ap-951	251	25	n	n	PROPN
ap-951	251	26	n	n	CCONJ
ap-951	251	27	,	,	PUNCT
ap-951	251	28	(	(	PUNCT
ap-951	251	29	,	,	PUNCT
ap-951	251	30	)	)	PUNCT
ap-951	251	31	the	the	DET
ap-951	251	32	elements	element	NOUN
ap-951	251	33	f	f	PROPN
ap-951	251	34	�	�	PROPN
ap-951	251	35	�	�	PROPN
ap-951	251	36	�	�	PROPN
ap-951	251	37	are	be	AUX
ap-951	251	38	smooth	smooth	ADJ
ap-951	251	39	and	and	CCONJ
ap-951	251	40	have	have	VERB
ap-951	251	41	the	the	DET
ap-951	251	42	same	same	ADJ
ap-951	251	43	monodromies	monodromie	NOUN
ap-951	251	44	as	as	ADP
ap-951	251	45	the	the	DET
ap-951	251	46	higgs	higgs	NOUN
ap-951	251	47	field	field	NOUN
ap-951	251	48	(	(	PUNCT
ap-951	251	49	4.1	4.1	NUM
ap-951	251	50	)	)	PUNCT
ap-951	251	51	.	.	PUNCT
ap-951	252	1	the	the	DET
ap-951	252	2	action	action	NOUN
ap-951	252	3	is	be	AUX
ap-951	252	4	invariant	invariant	ADJ
ap-951	252	5	with	with	ADP
ap-951	252	6	respect	respect	NOUN
ap-951	252	7	to	to	ADP
ap-951	252	8	the	the	DET
ap-951	252	9	gauge	gauge	NOUN
ap-951	252	10	transformations	transformation	VERB
ap-951	252	11	a	a	DET
ap-951	252	12	f	f	NOUN
ap-951	252	13	f	f	PROPN
ap-951	252	14	f	f	PROPN
ap-951	252	15	af	af	PROPN
ap-951	252	16	�	�	PROPN
ap-951	252	17	�	�	PROPN
ap-951	252	18	�	�	PROPN
ap-951	252	19	1	1	NUM
ap-951	252	20	1	1	NUM
ap-951	252	21	�	�	PROPN
ap-951	252	22	,	,	PUNCT
ap-951	252	23	�	�	PROPN
ap-951	252	24	�	�	PROPN
ap-951	252	25	f	f	PROPN
ap-951	252	26	f1	f1	PROPN
ap-951	252	27	,	,	PUNCT
ap-951	252	28	g	g	PROPN
ap-951	252	29	g	g	PROPN
ap-951	252	30	fa	fa	PROPN
ap-951	252	31	a	a	DET
ap-951	252	32	a	a	DET
ap-951	252	33	�	�	PROPN
ap-951	252	34	,	,	PUNCT
ap-951	252	35	s	s	PROPN
ap-951	252	36	sa	sa	NOUN
ap-951	252	37	a	a	PRON
ap-951	252	38	a	a	DET
ap-951	252	39	af	af	PROPN
ap-951	252	40	f	f	PROPN
ap-951	252	41	�	�	PROPN
ap-951	252	42	�	�	PROPN
ap-951	252	43	(	(	PUNCT
ap-951	252	44	)	)	PUNCT
ap-951	252	45	1	1	NUM
ap-951	252	46	,	,	PUNCT
ap-951	252	47	f	f	PROPN
ap-951	252	48	f	f	PROPN
ap-951	252	49	z	z	PROPN
ap-951	252	50	za	za	PROPN
ap-951	252	51	z	z	PROPN
ap-951	252	52	xa	xa	PROPN
ap-951	252	53	�	�	PROPN
ap-951	252	54	�	�	PROPN
ap-951	252	55	(	(	PUNCT
ap-951	252	56	,	,	PUNCT
ap-951	252	57	)	)	PUNCT
ap-951	252	58	.	.	PUNCT
ap-951	253	1	consider	consider	VERB
ap-951	253	2	the	the	DET
ap-951	253	3	infinitesimal	infinitesimal	ADJ
ap-951	253	4	gauge	gauge	NOUN
ap-951	253	5	transformations	transformation	NOUN
ap-951	253	6	v	v	ADP
ap-951	253	7	a	a	DET
ap-951	253	8	a	a	DET
ap-951	253	9	�	�	PROPN
ap-951	253	10	�	�	PROPN
ap-951	253	11	�	�	PROPN
ap-951	253	12	�	�	PROPN
ap-951	253	13	�	�	PROPN
ap-951	253	14	[	[	PUNCT
ap-951	253	15	,	,	PUNCT
ap-951	253	16	]	]	X
ap-951	253	17	,	,	PUNCT
ap-951	253	18	v	v	PROPN
ap-951	253	19	�	�	PROPN
ap-951	253	20	�	�	PROPN
ap-951	253	21	�	�	PROPN
ap-951	253	22	[	[	PUNCT
ap-951	253	23	,	,	PUNCT
ap-951	253	24	]	]	X
ap-951	253	25	,	,	PUNCT
ap-951	253	26	v	v	ADP
ap-951	253	27	g	g	PROPN
ap-951	253	28	g	g	PROPN
ap-951	253	29	xa	xa	PROPN
ap-951	253	30	a	a	DET
ap-951	253	31	a	a	DET
ap-951	253	32	�	�	PROPN
ap-951	253	33	�	�	PROPN
ap-951	253	34	�	�	PROPN
ap-951	253	35	(	(	PUNCT
ap-951	253	36	)	)	PUNCT
ap-951	253	37	,	,	PUNCT
ap-951	253	38	v	v	ADP
ap-951	253	39	s	s	X
ap-951	253	40	s	s	X
ap-951	253	41	xa	xa	PROPN
ap-951	253	42	a	a	DET
ap-951	253	43	a	a	DET
ap-951	253	44	�	�	PROPN
ap-951	253	45	�	�	PROPN
ap-951	253	46	�	�	PROPN
ap-951	253	47	[	[	PUNCT
ap-951	253	48	,	,	PUNCT
ap-951	253	49	(	(	PUNCT
ap-951	253	50	)	)	PUNCT
ap-951	253	51	]	]	X
ap-951	253	52	,	,	PUNCT
ap-951	253	53	�	�	PROPN
ap-951	253	54	�	�	PROPN
ap-951	253	55	lie	lie	NOUN
ap-951	253	56	(	(	PUNCT
ap-951	253	57	)	)	PUNCT
ap-951	253	58	�	�	PROPN
ap-951	253	59	�	�	PROPN
ap-951	253	60	.	.	PUNCT
ap-951	254	1	the	the	DET
ap-951	254	2	hamiltonian	hamiltonian	PROPN
ap-951	254	3	f	f	PROPN
ap-951	254	4	generating	generate	VERB
ap-951	254	5	the	the	DET
ap-951	254	6	gauge	gauge	NOUN
ap-951	254	7	vector	vector	NOUN
ap-951	254	8	fields	field	NOUN
ap-951	254	9	�	�	PROPN
ap-951	254	10	�	�	PROPN
ap-951	254	11	�	�	PROPN
ap-951	254	12	df	df	PROPN
ap-951	254	13	has	have	VERB
ap-951	254	14	the	the	DET
ap-951	254	15	form	form	NOUN
ap-951	254	16	f	f	PROPN
ap-951	254	17	a	a	DET
ap-951	254	18	z	z	NOUN
ap-951	254	19	x	x	PROPN
ap-951	254	20	z	z	PROPN
ap-951	254	21	xa	xa	PROPN
ap-951	255	1	a	a	DET
ap-951	255	2	a	a	DET
ap-951	255	3	a	a	PRON
ap-951	255	4	n	n	CCONJ
ap-951	255	5	g	g	PROPN
ap-951	255	6	n	n	CCONJ
ap-951	255	7	�	�	PROPN
ap-951	255	8	�	�	PROPN
ap-951	255	9	�	�	PROPN
ap-951	255	10	�	�	PROPN
ap-951	255	11	�	�	PROPN
ap-951	255	12	�	�	PROPN
ap-951	255	13	�	�	PROPN
ap-951	255	14	�	�	PROPN
ap-951	255	15	�	�	PROPN
ap-951	255	16	�	�	PROPN
ap-951	255	17	(	(	PUNCT
ap-951	255	18	[	[	PUNCT
ap-951	255	19	,	,	PUNCT
ap-951	255	20	]	]	X
ap-951	255	21	(	(	PUNCT
ap-951	255	22	,	,	PUNCT
ap-951	255	23	)	)	PUNCT
ap-951	255	24	)	)	PUNCT
ap-951	255	25	,	,	PUNCT
ap-951	255	26	�	�	PROPN
ap-951	255	27	s	s	PART
ap-951	255	28	1	1	NUM
ap-951	255	29	.	.	PUNCT
ap-951	256	1	the	the	DET
ap-951	256	2	moment	moment	NOUN
ap-951	256	3	map	map	VERB
ap-951	256	4	�	�	PROPN
ap-951	256	5	:	:	PUNCT
ap-951	256	6	(	(	PUNCT
ap-951	256	7	,	,	PUNCT
ap-951	256	8	,	,	PUNCT
ap-951	256	9	)	)	PUNCT
ap-951	256	10	*	*	PUNCT
ap-951	257	1	(	(	PUNCT
ap-951	257	2	)	)	PUNCT
ap-951	257	3	�	�	PROPN
ap-951	257	4	�	�	PROPN
ap-951	257	5	a	a	DET
ap-951	257	6	liea	liea	PROPN
ap-951	257	7	s	s	PART
ap-951	257	8	�	�	PROPN
ap-951	257	9	�	�	PROPN
ap-951	257	10	,	,	PUNCT
ap-951	257	11	�	�	PROPN
ap-951	257	12	�	�	PROPN
ap-951	257	13	�	�	PROPN
ap-951	257	14	�	�	PROPN
ap-951	257	15	�	�	PROPN
ap-951	257	16	�	�	PROPN
ap-951	257	17	�	�	PROPN
ap-951	257	18	�	�	PROPN
ap-951	257	19	�	�	PROPN
ap-951	257	20	[	[	PUNCT
ap-951	257	21	,	,	PUNCT
ap-951	257	22	]	]	X
ap-951	257	23	(	(	PUNCT
ap-951	257	24	,	,	PUNCT
ap-951	257	25	)	)	PUNCT
ap-951	257	26	a	a	DET
ap-951	257	27	z	z	NOUN
ap-951	257	28	x	x	X
ap-951	257	29	z	z	PROPN
ap-951	257	30	xa	xa	PROPN
ap-951	258	1	a	a	DET
ap-951	258	2	a	a	DET
ap-951	258	3	a	a	DET
ap-951	258	4	n	n	NOUN
ap-951	258	5	s	s	NOUN
ap-951	258	6	1	1	NUM
ap-951	258	7	.	.	PUNCT
ap-951	259	1	the	the	DET
ap-951	259	2	gauss	gauss	PROPN
ap-951	259	3	law	law	PROPN
ap-951	259	4	(	(	PUNCT
ap-951	259	5	the	the	DET
ap-951	259	6	moment	moment	NOUN
ap-951	259	7	constraints	constraint	VERB
ap-951	259	8	)	)	PUNCT
ap-951	259	9	takes	take	VERB
ap-951	259	10	the	the	DET
ap-951	259	11	form	form	NOUN
ap-951	259	12	�	�	PROPN
ap-951	259	13	�	�	PROPN
ap-951	259	14	�	�	PROPN
ap-951	259	15	�	�	PROPN
ap-951	259	16	�	�	PROPN
ap-951	259	17	�	�	PROPN
ap-951	259	18	�	�	PROPN
ap-951	259	19	[	[	PUNCT
ap-951	259	20	,	,	PUNCT
ap-951	259	21	]	]	X
ap-951	259	22	(	(	PUNCT
ap-951	259	23	,	,	PUNCT
ap-951	259	24	)	)	PUNCT
ap-951	259	25	a	a	DET
ap-951	259	26	z	z	NOUN
ap-951	259	27	x	x	X
ap-951	259	28	z	z	PROPN
ap-951	259	29	xa	xa	PROPN
ap-951	260	1	a	a	DET
ap-951	260	2	a	a	DET
ap-951	260	3	a	a	PRON
ap-951	260	4	n	n	NOUN
ap-951	260	5	s	s	NOUN
ap-951	260	6	1	1	NUM
ap-951	260	7	.	.	PUNCT
ap-951	261	1	(	(	PUNCT
ap-951	261	2	4.14	4.14	NUM
ap-951	261	3	)	)	PUNCT
ap-951	261	4	upon	upon	SCONJ
ap-951	261	5	imposing	impose	VERB
ap-951	261	6	these	these	DET
ap-951	261	7	constraints	constraint	NOUN
ap-951	261	8	the	the	DET
ap-951	261	9	residues	residue	NOUN
ap-951	261	10	of	of	ADP
ap-951	261	11	the	the	DET
ap-951	261	12	higgs	higgs	NOUN
ap-951	261	13	fields	field	NOUN
ap-951	261	14	become	become	VERB
ap-951	261	15	equal	equal	ADJ
ap-951	261	16	to	to	ADP
ap-951	261	17	the	the	DET
ap-951	261	18	spin	spin	NOUN
ap-951	261	19	variables	variable	NOUN
ap-951	261	20	by	by	ADP
ap-951	261	21	analogy	analogy	NOUN
ap-951	261	22	res	re	NOUN
ap-951	261	23	z	z	PROPN
ap-951	261	24	x	x	NOUN
ap-951	261	25	a	a	DET
ap-951	261	26	a	a	DET
ap-951	261	27	s	s	PROPN
ap-951	261	28	�	�	PROPN
ap-951	261	29	�	�	PROPN
ap-951	261	30	with	with	ADP
ap-951	261	31	the	the	DET
ap-951	261	32	yang	yang	PROPN
ap-951	261	33	-	-	PUNCT
ap-951	261	34	mills	mill	NOUN
ap-951	261	35	theory	theory	NOUN
ap-951	261	36	,	,	PUNCT
ap-951	261	37	where	where	SCONJ
ap-951	261	38	the	the	DET
ap-951	261	39	higgs	higgs	NOUN
ap-951	261	40	field	field	NOUN
ap-951	261	41	corresponds	correspond	VERB
ap-951	261	42	to	to	ADP
ap-951	261	43	the	the	DET
ap-951	261	44	electric	electric	ADJ
ap-951	261	45	field	field	NOUN
ap-951	261	46	and	and	CCONJ
ap-951	261	47	sa	sa	PROPN
ap-951	261	48	are	be	AUX
ap-951	261	49	the	the	DET
ap-951	261	50	analog	analog	NOUN
ap-951	261	51	of	of	ADP
ap-951	261	52	the	the	DET
ap-951	261	53	electric	electric	ADJ
ap-951	261	54	charges	charge	NOUN
ap-951	261	55	.	.	PUNCT
ap-951	262	1	the	the	DET
ap-951	262	2	reduced	reduce	VERB
ap-951	262	3	phase	phase	NOUN
ap-951	262	4	space	space	NOUN
ap-951	262	5	�	�	PROPN
ap-951	262	6	�	�	PROPN
ap-951	262	7	red	red	PROPN
ap-951	262	8	aa	aa	PROPN
ap-951	262	9	+	+	PROPN
ap-951	262	10	�	�	PROPN
ap-951	262	11	(	(	PUNCT
ap-951	262	12	,	,	PUNCT
ap-951	262	13	,	,	PUNCT
ap-951	262	14	)	)	PUNCT
ap-951	262	15	/	/	PUNCT
ap-951	262	16	(	(	PUNCT
ap-951	262	17	s	s	PROPN
ap-951	262	18	gauss	gauss	ADJ
ap-951	262	19	law	law	NOUN
ap-951	262	20	)	)	PUNCT
ap-951	262	21	(	(	PUNCT
ap-951	262	22	gauge	gauge	NOUN
ap-951	262	23	fixing	fixing	NOUN
ap-951	262	24	)	)	PUNCT
ap-951	262	25	defines	define	VERB
ap-951	262	26	the	the	DET
ap-951	262	27	physical	physical	ADJ
ap-951	262	28	degrees	degree	NOUN
ap-951	262	29	of	of	ADP
ap-951	262	30	freedom	freedom	NOUN
ap-951	262	31	,	,	PUNCT
ap-951	262	32	and	and	CCONJ
ap-951	262	33	the	the	DET
ap-951	262	34	reduced	reduce	VERB
ap-951	262	35	phase	phase	NOUN
ap-951	262	36	space	space	NOUN
ap-951	262	37	is	be	AUX
ap-951	262	38	the	the	DET
ap-951	262	39	symplectic	symplectic	ADJ
ap-951	262	40	quotient	quotient	NOUN
ap-951	262	41	�	�	PROPN
ap-951	262	42	�	�	PROPN
ap-951	262	43	�	�	PROPN
ap-951	262	44	red	red	PROPN
ap-951	262	45	aa	aa	PROPN
ap-951	262	46	�	�	PROPN
ap-951	262	47	(	(	PUNCT
ap-951	262	48	,	,	PUNCT
ap-951	262	49	,	,	PUNCT
ap-951	262	50	)	)	PUNCT
ap-951	262	51	/	/	PUNCT
ap-951	262	52	/	/	SYM
ap-951	262	53	s	s	PROPN
ap-951	262	54	�	�	PROPN
ap-951	262	55	(	(	PUNCT
ap-951	262	56	4.15	4.15	NUM
ap-951	262	57	)	)	PUNCT
ap-951	262	58	4.1.4	4.1.4	PRON
ap-951	262	59	algebra	algebra	NOUN
ap-951	262	60	-	-	PUNCT
ap-951	262	61	geometric	geometric	ADJ
ap-951	262	62	approach	approach	NOUN
ap-951	262	63	the	the	DET
ap-951	262	64	operator	operator	NOUN
ap-951	262	65	�	�	PROPN
ap-951	262	66	�	�	PROPN
ap-951	262	67	d	d	NOUN
ap-951	262	68	acting	act	VERB
ap-951	262	69	on	on	ADP
ap-951	262	70	sections	section	NOUN
ap-951	262	71	defines	define	VERB
ap-951	262	72	a	a	DET
ap-951	262	73	holomorphic	holomorphic	ADJ
ap-951	262	74	structure	structure	NOUN
ap-951	262	75	on	on	ADP
ap-951	262	76	the	the	DET
ap-951	262	77	bundle	bundle	NOUN
ap-951	263	1	e.	e.	PROPN
ap-951	264	1	a	a	DET
ap-951	264	2	section	section	NOUN
ap-951	264	3	s	s	VERB
ap-951	264	4	is	be	AUX
ap-951	264	5	holomorphic	holomorphic	ADJ
ap-951	264	6	if	if	SCONJ
ap-951	264	7	(	(	PUNCT
ap-951	264	8	)	)	PUNCT
ap-951	264	9	�	�	PROPN
ap-951	264	10	�	�	PROPN
ap-951	264	11	a	a	DET
ap-951	264	12	s	s	NOUN
ap-951	264	13	0	0	NUM
ap-951	264	14	the	the	DET
ap-951	264	15	moment	moment	NOUN
ap-951	264	16	constraint	constraint	NOUN
ap-951	264	17	(	(	PUNCT
ap-951	264	18	4.14	4.14	NUM
ap-951	264	19	)	)	PUNCT
ap-951	264	20	means	mean	VERB
ap-951	264	21	that	that	SCONJ
ap-951	264	22	the	the	DET
ap-951	264	23	space	space	NOUN
ap-951	264	24	of	of	ADP
ap-951	264	25	sections	section	NOUN
ap-951	264	26	of	of	ADP
ap-951	264	27	the	the	DET
ap-951	264	28	higgs	higgs	NOUN
ap-951	264	29	field	field	NOUN
ap-951	264	30	over	over	ADP
ap-951	264	31	�	�	PROPN
ap-951	264	32	g	g	PROPN
ap-951	264	33	d\	d\	PROPN
ap-951	264	34	is	be	AUX
ap-951	264	35	holomorphic	holomorphic	ADJ
ap-951	264	36	.	.	PUNCT
ap-951	265	1	consider	consider	VERB
ap-951	265	2	the	the	DET
ap-951	265	3	set	set	NOUN
ap-951	265	4	of	of	ADP
ap-951	265	5	holomorphic	holomorphic	ADJ
ap-951	265	6	structures	structure	NOUN
ap-951	265	7	�	�	PROPN
ap-951	265	8	�	�	PROPN
ap-951	265	9	�	�	PROPN
ap-951	265	10	�	�	PROPN
ap-951	265	11	da	da	PROPN
ap-951	265	12	on	on	ADP
ap-951	265	13	e.	e.	PROPN
ap-951	265	14	two	two	NUM
ap-951	265	15	holomorphic	holomorphic	ADJ
ap-951	265	16	structure	structure	NOUN
ap-951	265	17	are	be	AUX
ap-951	265	18	called	call	VERB
ap-951	265	19	equivalent	equivalent	ADJ
ap-951	265	20	if	if	SCONJ
ap-951	265	21	the	the	DET
ap-951	265	22	corresponding	corresponding	ADJ
ap-951	265	23	connections	connection	NOUN
ap-951	265	24	are	be	AUX
ap-951	265	25	gauge	gauge	NOUN
ap-951	265	26	equivalent	equivalent	ADJ
ap-951	265	27	.	.	PUNCT
ap-951	266	1	the	the	DET
ap-951	266	2	moduli	moduli	PROPN
ap-951	266	3	space	space	NOUN
ap-951	266	4	of	of	ADP
ap-951	266	5	holomorphic	holomorphic	ADJ
ap-951	266	6	structures	structure	NOUN
ap-951	266	7	is	be	AUX
ap-951	266	8	the	the	DET
ap-951	266	9	quotient	quotient	NOUN
ap-951	266	10	�	�	PROPN
ap-951	266	11	�	�	PROPN
ap-951	266	12	�	�	PROPN
ap-951	266	13	.	.	PUNCT
ap-951	267	1	generically	generically	ADV
ap-951	267	2	the	the	DET
ap-951	267	3	quotient	quotient	NOUN
ap-951	267	4	has	have	VERB
ap-951	267	5	very	very	ADV
ap-951	267	6	singular	singular	ADJ
ap-951	267	7	structure	structure	NOUN
ap-951	267	8	.	.	PUNCT
ap-951	268	1	to	to	PART
ap-951	268	2	have	have	VERB
ap-951	268	3	a	a	DET
ap-951	268	4	reasonable	reasonable	ADJ
ap-951	268	5	topology	topology	NOUN
ap-951	268	6	one	one	PRON
ap-951	268	7	should	should	AUX
ap-951	268	8	consider	consider	VERB
ap-951	268	9	the	the	DET
ap-951	268	10	so	so	ADV
ap-951	268	11	-	-	PUNCT
ap-951	268	12	called	call	VERB
ap-951	268	13	stable	stable	ADJ
ap-951	268	14	bundles	bundle	NOUN
ap-951	268	15	.	.	PUNCT
ap-951	269	1	the	the	DET
ap-951	269	2	stable	stable	ADJ
ap-951	269	3	bundles	bundle	NOUN
ap-951	269	4	are	be	AUX
ap-951	269	5	generic	generic	ADJ
ap-951	269	6	and	and	CCONJ
ap-951	269	7	we	we	PRON
ap-951	269	8	consider	consider	VERB
ap-951	269	9	the	the	DET
ap-951	269	10	space	space	NOUN
ap-951	269	11	of	of	ADP
ap-951	269	12	connection	connection	NOUN
ap-951	269	13	�	�	PROPN
ap-951	269	14	stable	stable	ADJ
ap-951	269	15	corresponding	corresponding	NOUN
ap-951	269	16	to	to	ADP
ap-951	269	17	the	the	DET
ap-951	269	18	stable	stable	ADJ
ap-951	269	19	bundles	bundle	NOUN
ap-951	269	20	.	.	PUNCT
ap-951	270	1	the	the	DET
ap-951	270	2	quotient	quotient	NOUN
ap-951	270	3	is	be	AUX
ap-951	270	4	called	call	VERB
ap-951	270	5	the	the	DET
ap-951	270	6	moduli	moduli	ADJ
ap-951	270	7	space	space	NOUN
ap-951	270	8	of	of	ADP
ap-951	270	9	stable	stable	ADJ
ap-951	270	10	holomorphic	holomorphic	ADJ
ap-951	270	11	bundles	bundle	NOUN
ap-951	270	12	�	�	PROPN
ap-951	270	13	�	�	PROPN
ap-951	270	14	�	�	PROPN
ap-951	270	15	(	(	PUNCT
ap-951	270	16	,	,	PUNCT
ap-951	270	17	,	,	PUNCT
ap-951	270	18	)	)	PUNCT
ap-951	270	19	n	n	CCONJ
ap-951	270	20	g	g	PROPN
ap-951	270	21	n	n	CCONJ
ap-951	270	22	stable	stable	ADJ
ap-951	270	23	�	�	PROPN
ap-951	270	24	.	.	PUNCT
ap-951	271	1	it	it	PRON
ap-951	271	2	is	be	AUX
ap-951	271	3	a	a	DET
ap-951	271	4	finite	finite	ADJ
ap-951	271	5	-	-	ADJ
ap-951	271	6	dimensional	dimensional	ADJ
ap-951	271	7	manifold	manifold	NOUN
ap-951	271	8	.	.	PUNCT
ap-951	272	1	the	the	DET
ap-951	272	2	tangent	tangent	ADJ
ap-951	272	3	space	space	NOUN
ap-951	272	4	to	to	ADP
ap-951	272	5	�	�	PROPN
ap-951	272	6	(	(	PUNCT
ap-951	272	7	,	,	PUNCT
ap-951	272	8	,	,	PUNCT
ap-951	272	9	)	)	PUNCT
ap-951	272	10	n	n	CCONJ
ap-951	272	11	g	g	PROPN
ap-951	272	12	n	n	NUM
ap-951	272	13	is	be	AUX
ap-951	272	14	isomorphic	isomorphic	ADJ
ap-951	272	15	to	to	ADP
ap-951	272	16	h	h	PROPN
ap-951	272	17	eg	eg	PROPN
ap-951	272	18	n	n	PROPN
ap-951	272	19	1	1	NUM
ap-951	272	20	(	(	PUNCT
ap-951	272	21	,	,	PUNCT
ap-951	272	22	)	)	PUNCT
ap-951	272	23	,	,	PUNCT
ap-951	272	24	�	�	PROPN
ap-951	272	25	end	end	VERB
ap-951	272	26	.	.	PUNCT
ap-951	273	1	its	its	PRON
ap-951	273	2	dimension	dimension	NOUN
ap-951	273	3	can	can	AUX
ap-951	273	4	be	be	AUX
ap-951	273	5	extracted	extract	VERB
ap-951	273	6	from	from	ADP
ap-951	273	7	the	the	DET
ap-951	273	8	riemann	riemann	PROPN
ap-951	273	9	-	-	PUNCT
ap-951	273	10	roch	roch	PROPN
ap-951	273	11	theorem	theorem	PROPN
ap-951	273	12	and	and	CCONJ
ap-951	273	13	for	for	ADP
ap-951	273	14	curves	curve	NOUN
ap-951	273	15	without	without	ADP
ap-951	273	16	marked	mark	VERB
ap-951	273	17	points	point	NOUN
ap-951	273	18	(	(	PUNCT
ap-951	273	19	)	)	PUNCT
ap-951	273	20	n	n	PRON
ap-951	273	21	�	�	NOUN
ap-951	273	22	0	0	NUM
ap-951	273	23	dim	dim	PROPN
ap-951	273	24	(	(	PUNCT
ap-951	273	25	,	,	PUNCT
ap-951	273	26	)	)	PUNCT
ap-951	273	27	dim	dim	NOUN
ap-951	273	28	(	(	PUNCT
ap-951	273	29	,	,	PUNCT
ap-951	273	30	)	)	PUNCT
ap-951	273	31	(	(	PUNCT
ap-951	273	32	)	)	PUNCT
ap-951	273	33	dimh	dimh	NOUN
ap-951	274	1	e	e	NOUN
ap-951	274	2	h	h	NOUN
ap-951	274	3	e	e	PROPN
ap-951	274	4	g	g	PROPN
ap-951	274	5	g0	g0	ADJ
ap-951	274	6	1	1	NUM
ap-951	274	7	1	1	NUM
ap-951	274	8	�	�	PROPN
ap-951	274	9	�	�	PROPN
ap-951	274	10	end	end	NOUN
ap-951	274	11	end	end	PROPN
ap-951	274	12	�	�	PROPN
ap-951	274	13	�	�	PROPN
ap-951	274	14	�	�	PROPN
ap-951	274	15	.	.	PUNCT
ap-951	275	1	for	for	ADP
ap-951	275	2	stable	stable	ADJ
ap-951	275	3	bundles	bundle	NOUN
ap-951	275	4	and	and	CCONJ
ap-951	275	5	g	g	PROPN
ap-951	275	6	�	�	PROPN
ap-951	275	7	1	1	NUM
ap-951	275	8	and	and	CCONJ
ap-951	275	9	dim	dim	ADJ
ap-951	275	10	(	(	PUNCT
ap-951	275	11	,	,	PUNCT
ap-951	275	12	)	)	PUNCT
ap-951	275	13	h	h	NOUN
ap-951	275	14	e0	e0	PROPN
ap-951	275	15	1	1	NUM
ap-951	275	16	�	�	PROPN
ap-951	275	17	end	end	NOUN
ap-951	275	18	�	�	PROPN
ap-951	275	19	and	and	CCONJ
ap-951	275	20	dim	dim	ADJ
ap-951	275	21	(	(	PUNCT
ap-951	275	22	,	,	PUNCT
ap-951	275	23	,	,	PUNCT
ap-951	275	24	)	)	PUNCT
ap-951	275	25	(	(	PUNCT
ap-951	275	26	)	)	PUNCT
ap-951	275	27	�	�	PROPN
ap-951	275	28	n	n	CCONJ
ap-951	275	29	g	g	PROPN
ap-951	275	30	g	g	PROPN
ap-951	275	31	n0	n0	X
ap-951	275	32	1	1	NUM
ap-951	275	33	12	12	NUM
ap-951	275	34	�	�	PROPN
ap-951	275	35	�	�	PROPN
ap-951	275	36	for	for	ADP
ap-951	275	37	gl	gl	PROPN
ap-951	275	38	(	(	PUNCT
ap-951	275	39	,	,	PUNCT
ap-951	275	40	)	)	PUNCT
ap-951	275	41	n	n	PRON
ap-951	275	42	�	�	PROPN
ap-951	275	43	,	,	PUNCT
ap-951	275	44	and	and	CCONJ
ap-951	275	45	dim	dim	ADJ
ap-951	275	46	(	(	PUNCT
ap-951	275	47	,	,	PUNCT
ap-951	275	48	,	,	PUNCT
ap-951	275	49	)	)	PUNCT
ap-951	275	50	(	(	PUNCT
ap-951	275	51	)	)	PUNCT
ap-951	275	52	(	(	PUNCT
ap-951	275	53	)	)	PUNCT
ap-951	275	54	�	�	PROPN
ap-951	275	55	n	n	CCONJ
ap-951	275	56	g	g	PROPN
ap-951	275	57	g	g	PROPN
ap-951	275	58	n0	n0	X
ap-951	275	59	1	1	NUM
ap-951	275	60	12	12	NUM
ap-951	275	61	�	�	PROPN
ap-951	275	62	�	�	PROPN
ap-951	275	63	�	�	PROPN
ap-951	275	64	for	for	ADP
ap-951	275	65	sl	sl	PROPN
ap-951	275	66	(	(	PUNCT
ap-951	275	67	,	,	PUNCT
ap-951	275	68	)	)	PUNCT
ap-951	275	69	n	n	DET
ap-951	275	70	�	�	PROPN
ap-951	275	71	.	.	PUNCT
ap-951	276	1	thus	thus	ADV
ap-951	276	2	,	,	PUNCT
ap-951	276	3	in	in	ADP
ap-951	276	4	the	the	DET
ap-951	276	5	absence	absence	NOUN
ap-951	276	6	of	of	ADP
ap-951	276	7	the	the	DET
ap-951	276	8	marked	mark	VERB
ap-951	276	9	points	point	NOUN
ap-951	276	10	we	we	PRON
ap-951	276	11	should	should	AUX
ap-951	276	12	consider	consider	VERB
ap-951	276	13	bundles	bundle	NOUN
ap-951	276	14	over	over	ADP
ap-951	276	15	curves	curve	NOUN
ap-951	276	16	of	of	ADP
ap-951	276	17	genus	genus	NOUN
ap-951	276	18	g	g	PROPN
ap-951	276	19	$	$	SYM
ap-951	276	20	2	2	NUM
ap-951	276	21	.	.	PUNCT
ap-951	277	1	but	but	CCONJ
ap-951	277	2	the	the	DET
ap-951	277	3	curves	curve	NOUN
ap-951	277	4	of	of	ADP
ap-951	277	5	genus	genus	NOUN
ap-951	277	6	g	g	PROPN
ap-951	277	7	�	�	PROPN
ap-951	277	8	0	0	NUM
ap-951	277	9	and	and	CCONJ
ap-951	277	10	1	1	NUM
ap-951	277	11	are	be	AUX
ap-951	277	12	important	important	ADJ
ap-951	277	13	for	for	SCONJ
ap-951	277	14	applications	application	NOUN
ap-951	277	15	to	to	PART
ap-951	277	16	integrable	integrable	ADJ
ap-951	277	17	systems	system	NOUN
ap-951	277	18	.	.	PUNCT
ap-951	278	1	including	include	VERB
ap-951	278	2	the	the	DET
ap-951	278	3	marked	mark	VERB
ap-951	278	4	points	point	NOUN
ap-951	278	5	improves	improve	VERB
ap-951	278	6	the	the	DET
ap-951	278	7	situation	situation	NOUN
ap-951	278	8	.	.	PUNCT
ap-951	279	1	we	we	PRON
ap-951	279	2	extend	extend	VERB
ap-951	279	3	the	the	DET
ap-951	279	4	moduli	moduli	NOUN
ap-951	279	5	space	space	NOUN
ap-951	279	6	by	by	ADP
ap-951	279	7	providing	provide	VERB
ap-951	279	8	an	an	DET
ap-951	279	9	additional	additional	ADJ
ap-951	279	10	data	datum	NOUN
ap-951	279	11	at	at	ADP
ap-951	279	12	the	the	DET
ap-951	279	13	marked	mark	VERB
ap-951	279	14	points	point	NOUN
ap-951	279	15	.	.	PUNCT
ap-951	280	1	consider	consider	VERB
ap-951	280	2	an	an	DET
ap-951	280	3	n	n	ADV
ap-951	280	4	-	-	PUNCT
ap-951	280	5	dimensional	dimensional	ADJ
ap-951	280	6	vector	vector	NOUN
ap-951	280	7	space	space	NOUN
ap-951	280	8	v	v	NOUN
ap-951	280	9	and	and	CCONJ
ap-951	280	10	choose	choose	VERB
ap-951	280	11	a	a	DET
ap-951	280	12	flag	flag	NOUN
ap-951	280	13	fl	fl	NOUN
ap-951	280	14	v	v	ADP
ap-951	280	15	v	v	NOUN
ap-951	280	16	v	v	ADP
ap-951	280	17	vn	vn	X
ap-951	280	18	�	�	PROPN
ap-951	280	19	�	�	PROPN
ap-951	280	20	�	�	PROPN
ap-951	280	21	�	�	PROPN
ap-951	280	22	(	(	PUNCT
ap-951	280	23	)	)	PUNCT
ap-951	280	24	1	1	NUM
ap-951	280	25	2	2	NUM
ap-951	280	26	�	�	PROPN
ap-951	280	27	,	,	PUNCT
ap-951	280	28	where	where	SCONJ
ap-951	280	29	vj	vj	PROPN
ap-951	280	30	is	be	AUX
ap-951	280	31	a	a	DET
ap-951	280	32	subspace	subspace	NOUN
ap-951	280	33	in	in	ADP
ap-951	280	34	vj	vj	PROPN
ap-951	280	35	1	1	NUM
ap-951	280	36	.	.	PUNCT
ap-951	281	1	note	note	VERB
ap-951	281	2	that	that	SCONJ
ap-951	281	3	a	a	DET
ap-951	281	4	flag	flag	NOUN
ap-951	281	5	is	be	AUX
ap-951	281	6	a	a	DET
ap-951	281	7	point	point	NOUN
ap-951	281	8	in	in	ADP
ap-951	281	9	a	a	DET
ap-951	281	10	homogeneous	homogeneous	ADJ
ap-951	281	11	space	space	NOUN
ap-951	281	12	called	call	VERB
ap-951	281	13	the	the	DET
ap-951	281	14	flag	flag	NOUN
ap-951	281	15	variety	variety	NOUN
ap-951	282	1	fl	fl	ADP
ap-951	282	2	n	n	PROPN
ap-951	282	3	b	b	PROPN
ap-951	282	4	�	�	PROPN
ap-951	282	5	gl	gl	PROPN
ap-951	282	6	(	(	PUNCT
ap-951	282	7	,	,	PUNCT
ap-951	282	8	)	)	PUNCT
ap-951	282	9	�	�	PROPN
ap-951	282	10	,	,	PUNCT
ap-951	282	11	where	where	SCONJ
ap-951	282	12	b	b	NOUN
ap-951	282	13	is	be	AUX
ap-951	282	14	a	a	DET
ap-951	282	15	borel	borel	NOUN
ap-951	282	16	subgroup	subgroup	NOUN
ap-951	282	17	.	.	PUNCT
ap-951	283	1	if	if	SCONJ
ap-951	283	2	(	(	PUNCT
ap-951	283	3	,	,	PUNCT
ap-951	283	4	,	,	PUNCT
ap-951	283	5	)	)	PUNCT
ap-951	283	6	e	e	PROPN
ap-951	283	7	en1	en1	PROPN
ap-951	283	8	�	�	PROPN
ap-951	283	9	is	be	AUX
ap-951	283	10	a	a	DET
ap-951	283	11	basis	basis	NOUN
ap-951	283	12	in	in	ADP
ap-951	283	13	v	v	NOUN
ap-951	283	14	and	and	CCONJ
ap-951	283	15	fl	fl	PROPN
ap-951	283	16	is	be	AUX
ap-951	283	17	a	a	DET
ap-951	283	18	flag	flag	NOUN
ap-951	283	19	�	�	PROPN
ap-951	283	20	�	�	PROPN
ap-951	283	21	fl	fl	PROPN
ap-951	283	22	v	v	ADP
ap-951	283	23	a	a	DET
ap-951	283	24	e	e	NOUN
ap-951	283	25	v	v	ADP
ap-951	283	26	a	a	DET
ap-951	283	27	e	e	NOUN
ap-951	283	28	a	a	DET
ap-951	283	29	e	e	PROPN
ap-951	283	30	v	v	ADP
ap-951	283	31	vn	vn	PROPN
ap-951	283	32	�	�	PROPN
ap-951	283	33	�	�	PROPN
ap-951	283	34	�	�	PROPN
ap-951	283	35	�	�	PROPN
ap-951	283	36	1	1	NUM
ap-951	283	37	11	11	NUM
ap-951	283	38	1	1	NUM
ap-951	283	39	2	2	NUM
ap-951	283	40	21	21	NUM
ap-951	283	41	1	1	NUM
ap-951	283	42	22	22	NUM
ap-951	283	43	2	2	NUM
ap-951	283	44	{	{	PUNCT
ap-951	283	45	}	}	PUNCT
ap-951	283	46	,	,	PUNCT
ap-951	283	47	{	{	PUNCT
ap-951	283	48	}	}	PUNCT
ap-951	283	49	,	,	PUNCT
ap-951	283	50	�	�	PROPN
ap-951	283	51	,	,	PUNCT
ap-951	283	52	10	10	NUM
ap-951	283	53	©	©	PROPN
ap-951	283	54	czech	czech	PROPN
ap-951	283	55	technical	technical	PROPN
ap-951	283	56	university	university	PROPN
ap-951	283	57	publishing	publishing	NOUN
ap-951	283	58	house	house	NOUN
ap-951	283	59	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-951	283	60	acta	acta	PROPN
ap-951	283	61	polytechnica	polytechnica	PROPN
ap-951	283	62	vol	vol	NOUN
ap-951	283	63	.	.	PUNCT
ap-951	284	1	48	48	NUM
ap-951	284	2	no	no	NOUN
ap-951	284	3	.	.	PUNCT
ap-951	285	1	2/2008	2/2008	NOUN
ap-951	285	2	then	then	ADV
ap-951	285	3	b	b	PROPN
ap-951	285	4	is	be	AUX
ap-951	285	5	the	the	DET
ap-951	285	6	subgroup	subgroup	NOUN
ap-951	285	7	of	of	ADP
ap-951	285	8	lower	low	ADJ
ap-951	285	9	triangular	triangular	NOUN
ap-951	285	10	matrices	matrix	NOUN
ap-951	285	11	.	.	PUNCT
ap-951	286	1	the	the	DET
ap-951	286	2	flag	flag	NOUN
ap-951	286	3	variety	variety	NOUN
ap-951	286	4	has	have	VERB
ap-951	286	5	the	the	DET
ap-951	286	6	dimension	dimension	NOUN
ap-951	286	7	1	1	NUM
ap-951	286	8	2	2	NUM
ap-951	286	9	1n	1n	NUM
ap-951	286	10	n	n	CCONJ
ap-951	286	11	(	(	PUNCT
ap-951	286	12	)	)	PUNCT
ap-951	286	13	�	�	PROPN
ap-951	286	14	.	.	PUNCT
ap-951	287	1	the	the	DET
ap-951	287	2	moduli	moduli	PROPN
ap-951	287	3	space	space	PROPN
ap-951	287	4	�	�	PROPN
ap-951	287	5	(	(	PUNCT
ap-951	287	6	,	,	PUNCT
ap-951	287	7	,	,	PUNCT
ap-951	287	8	)	)	PUNCT
ap-951	287	9	n	n	CCONJ
ap-951	287	10	g	g	PROPN
ap-951	287	11	n	n	PROPN
ap-951	287	12	is	be	AUX
ap-951	287	13	the	the	DET
ap-951	287	14	moduli	moduli	PROPN
ap-951	287	15	space	space	PROPN
ap-951	287	16	�	�	PROPN
ap-951	287	17	(	(	PUNCT
ap-951	287	18	,	,	PUNCT
ap-951	287	19	,	,	PUNCT
ap-951	287	20	)	)	PUNCT
ap-951	287	21	n	n	CCONJ
ap-951	287	22	g	g	PROPN
ap-951	287	23	0	0	NUM
ap-951	287	24	equipped	equip	VERB
ap-951	287	25	with	with	ADP
ap-951	287	26	maps	map	NOUN
ap-951	287	27	g	g	PROPN
ap-951	287	28	na	na	PROPN
ap-951	287	29	�	�	PROPN
ap-951	287	30	gl	gl	PROPN
ap-951	287	31	(	(	PUNCT
ap-951	287	32	,	,	PUNCT
ap-951	287	33	)	)	PUNCT
ap-951	287	34	�	�	PROPN
ap-951	287	35	of	of	ADP
ap-951	287	36	v	v	NUM
ap-951	287	37	to	to	ADP
ap-951	287	38	the	the	DET
ap-951	287	39	fibers	fiber	NOUN
ap-951	287	40	over	over	ADP
ap-951	287	41	the	the	DET
ap-951	287	42	marked	mark	VERB
ap-951	287	43	points	point	NOUN
ap-951	287	44	v	v	ADP
ap-951	287	45	e	e	X
ap-951	287	46	xa	xa	PROPN
ap-951	287	47	�	�	PROPN
ap-951	287	48	,	,	PUNCT
ap-951	287	49	preserving	preserve	VERB
ap-951	287	50	fl	fl	PRON
ap-951	287	51	in	in	ADP
ap-951	287	52	v.	v.	ADP
ap-951	287	53	in	in	ADP
ap-951	287	54	other	other	ADJ
ap-951	287	55	words	word	NOUN
ap-951	287	56	ga	ga	PROPN
ap-951	287	57	are	be	AUX
ap-951	287	58	defined	define	VERB
ap-951	287	59	up	up	ADP
ap-951	287	60	to	to	ADP
ap-951	287	61	the	the	DET
ap-951	287	62	right	right	ADJ
ap-951	287	63	multiplication	multiplication	NOUN
ap-951	287	64	of	of	ADP
ap-951	287	65	b	b	NOUN
ap-951	287	66	and	and	CCONJ
ap-951	287	67	therefore	therefore	ADV
ap-951	287	68	we	we	PRON
ap-951	287	69	supply	supply	VERB
ap-951	287	70	the	the	DET
ap-951	287	71	moduli	moduli	PROPN
ap-951	287	72	space	space	PROPN
ap-951	287	73	�	�	PROPN
ap-951	287	74	(	(	PUNCT
ap-951	287	75	,	,	PUNCT
ap-951	287	76	,	,	PUNCT
ap-951	287	77	)	)	PUNCT
ap-951	287	78	n	n	CCONJ
ap-951	287	79	g	g	NOUN
ap-951	287	80	0	0	NUM
ap-951	287	81	with	with	ADP
ap-951	287	82	the	the	DET
ap-951	287	83	structure	structure	NOUN
ap-951	287	84	of	of	ADP
ap-951	287	85	the	the	DET
ap-951	287	86	flag	flag	NOUN
ap-951	287	87	variety	variety	NOUN
ap-951	287	88	gl	gl	PROPN
ap-951	287	89	(	(	PUNCT
ap-951	287	90	,	,	PUNCT
ap-951	287	91	)	)	PUNCT
ap-951	287	92	n	n	PRON
ap-951	287	93	b	b	X
ap-951	287	94	�	�	PROPN
ap-951	287	95	at	at	ADP
ap-951	287	96	the	the	DET
ap-951	287	97	marked	mark	VERB
ap-951	287	98	points	point	NOUN
ap-951	287	99	.	.	PUNCT
ap-951	288	1	we	we	PRON
ap-951	288	2	have	have	VERB
ap-951	288	3	a	a	DET
ap-951	288	4	natural	natural	ADJ
ap-951	288	5	“	"	PUNCT
ap-951	288	6	forgetting	forgetting	NOUN
ap-951	288	7	”	"	PUNCT
ap-951	288	8	projection	projection	NOUN
ap-951	288	9	�	�	PROPN
ap-951	288	10	:	:	PUNCT
ap-951	288	11	(	(	PUNCT
ap-951	288	12	,	,	PUNCT
ap-951	288	13	,	,	PUNCT
ap-951	288	14	)	)	PUNCT
ap-951	288	15	(	(	PUNCT
ap-951	288	16	,	,	PUNCT
ap-951	288	17	,	,	PUNCT
ap-951	288	18	)	)	PUNCT
ap-951	288	19	�	�	PROPN
ap-951	288	20	�	�	PROPN
ap-951	288	21	n	n	CCONJ
ap-951	288	22	g	g	PROPN
ap-951	288	23	n	n	ADP
ap-951	288	24	n	n	ADV
ap-951	288	25	g	g	PROPN
ap-951	288	26	�	�	PROPN
ap-951	288	27	0	0	NUM
ap-951	288	28	.	.	PUNCT
ap-951	289	1	the	the	DET
ap-951	289	2	fiber	fiber	NOUN
ap-951	289	3	of	of	ADP
ap-951	289	4	this	this	DET
ap-951	289	5	projection	projection	NOUN
ap-951	289	6	is	be	AUX
ap-951	289	7	the	the	DET
ap-951	289	8	product	product	NOUN
ap-951	289	9	of	of	ADP
ap-951	289	10	copies	copy	NOUN
ap-951	289	11	of	of	ADP
ap-951	289	12	the	the	DET
ap-951	289	13	flag	flag	NOUN
ap-951	289	14	varieties	variety	NOUN
ap-951	289	15	.	.	PUNCT
ap-951	290	1	bundles	bundle	NOUN
ap-951	290	2	with	with	ADP
ap-951	290	3	this	this	DET
ap-951	290	4	structure	structure	NOUN
ap-951	290	5	are	be	AUX
ap-951	290	6	called	call	VERB
ap-951	290	7	the	the	DET
ap-951	290	8	quasi	quasi	ADJ
ap-951	290	9	-	-	ADJ
ap-951	290	10	parabolic	parabolic	ADJ
ap-951	290	11	bundles	bundle	NOUN
ap-951	290	12	.	.	PUNCT
ap-951	291	1	the	the	DET
ap-951	291	2	dimension	dimension	NOUN
ap-951	291	3	of	of	ADP
ap-951	291	4	the	the	DET
ap-951	291	5	moduli	moduli	NOUN
ap-951	291	6	space	space	NOUN
ap-951	291	7	of	of	ADP
ap-951	291	8	quasi	quasi	ADJ
ap-951	291	9	-	-	ADJ
ap-951	291	10	parabolic	parabolic	ADJ
ap-951	291	11	holomorphic	holomorphic	ADJ
ap-951	291	12	bundles	bundle	NOUN
ap-951	291	13	is	be	AUX
ap-951	291	14	dim	dim	ADJ
ap-951	291	15	(	(	PUNCT
ap-951	291	16	,	,	PUNCT
ap-951	291	17	,	,	PUNCT
ap-951	291	18	)	)	PUNCT
ap-951	291	19	(	(	PUNCT
ap-951	291	20	,	,	PUNCT
ap-951	291	21	,	,	PUNCT
ap-951	291	22	)	)	PUNCT
ap-951	291	23	(	(	PUNCT
ap-951	291	24	)	)	PUNCT
ap-951	291	25	�	�	PROPN
ap-951	291	26	�	�	PROPN
ap-951	291	27	n	n	CCONJ
ap-951	291	28	g	g	PROPN
ap-951	291	29	n	n	CCONJ
ap-951	291	30	n	n	CCONJ
ap-951	291	31	g	g	PROPN
ap-951	291	32	nn	nn	PROPN
ap-951	291	33	n	n	CCONJ
ap-951	291	34	�	�	PROPN
ap-951	291	35	�	�	PROPN
ap-951	291	36	0	0	NUM
ap-951	291	37	1	1	NUM
ap-951	291	38	2	2	NUM
ap-951	291	39	1	1	NUM
ap-951	291	40	.	.	PUNCT
ap-951	292	1	for	for	ADP
ap-951	292	2	curves	curve	NOUN
ap-951	292	3	of	of	ADP
ap-951	292	4	genus	genus	NOUN
ap-951	292	5	g	g	PROPN
ap-951	292	6	�	�	PROPN
ap-951	292	7	1	1	NUM
ap-951	292	8	,	,	PUNCT
ap-951	292	9	dim	dim	ADJ
ap-951	292	10	(	(	PUNCT
ap-951	292	11	,	,	PUNCT
ap-951	292	12	,	,	PUNCT
ap-951	292	13	)	)	PUNCT
ap-951	292	14	�	�	PROPN
ap-951	292	15	n	n	CCONJ
ap-951	292	16	g	g	NOUN
ap-951	292	17	n	n	PROPN
ap-951	292	18	is	be	AUX
ap-951	292	19	independent	independent	ADJ
ap-951	292	20	on	on	ADP
ap-951	292	21	the	the	DET
ap-951	292	22	degree	degree	NOUN
ap-951	292	23	of	of	ADP
ap-951	292	24	the	the	DET
ap-951	292	25	bundles	bundle	NOUN
ap-951	292	26	d	d	NOUN
ap-951	292	27	e	e	X
ap-951	292	28	c	c	PROPN
ap-951	292	29	e	e	PROPN
ap-951	292	30	�	�	PROPN
ap-951	292	31	�	�	PROPN
ap-951	292	32	deg	deg	PROPN
ap-951	292	33	(	(	PUNCT
ap-951	292	34	)	)	PUNCT
ap-951	292	35	(	(	PUNCT
ap-951	292	36	det	det	NOUN
ap-951	292	37	)	)	PUNCT
ap-951	292	38	1	1	NUM
ap-951	292	39	.	.	PUNCT
ap-951	293	1	in	in	ADP
ap-951	293	2	fact	fact	NOUN
ap-951	293	3	,	,	PUNCT
ap-951	293	4	we	we	PRON
ap-951	293	5	have	have	VERB
ap-951	293	6	a	a	DET
ap-951	293	7	disjoint	disjoint	ADJ
ap-951	293	8	union	union	NOUN
ap-951	293	9	of	of	ADP
ap-951	293	10	components	component	NOUN
ap-951	293	11	labeled	label	VERB
ap-951	293	12	by	by	ADP
ap-951	293	13	the	the	DET
ap-951	293	14	corresponding	corresponding	ADJ
ap-951	293	15	degrees	degree	NOUN
ap-951	293	16	of	of	ADP
ap-951	293	17	the	the	DET
ap-951	293	18	bundles	bundle	NOUN
ap-951	293	19	�	�	PROPN
ap-951	293	20	�	�	PROPN
ap-951	293	21	�	�	PROPN
ap-951	293	22	(	(	PUNCT
ap-951	293	23	)	)	PUNCT
ap-951	293	24	d	d	PROPN
ap-951	293	25	�	�	PROPN
ap-951	293	26	.	.	PUNCT
ap-951	294	1	for	for	ADP
ap-951	294	2	elliptic	elliptic	ADJ
ap-951	294	3	curves	curve	NOUN
ap-951	294	4	(	(	PUNCT
ap-951	294	5	)	)	PUNCT
ap-951	294	6	g	g	PROPN
ap-951	294	7	�	�	PROPN
ap-951	294	8	1	1	NUM
ap-951	294	9	one	one	NUM
ap-951	294	10	has	have	AUX
ap-951	294	11	dim	dim	VERB
ap-951	294	12	(	(	PUNCT
ap-951	294	13	,	,	PUNCT
ap-951	294	14	)	)	PUNCT
ap-951	294	15	dim	dim	NOUN
ap-951	294	16	(	(	PUNCT
ap-951	294	17	,	,	PUNCT
ap-951	294	18	)	)	PUNCT
ap-951	294	19	h	h	NOUN
ap-951	295	1	e	e	NOUN
ap-951	295	2	h	h	PROPN
ap-951	295	3	e1	e1	PROPN
ap-951	295	4	0	0	NUM
ap-951	295	5	�	�	PROPN
ap-951	295	6	�	�	PROPN
ap-951	295	7	end	end	NOUN
ap-951	295	8	end	end	NOUN
ap-951	295	9	�	�	PROPN
ap-951	295	10	,	,	PUNCT
ap-951	295	11	and	and	CCONJ
ap-951	295	12	dim	dim	ADJ
ap-951	295	13	(	(	PUNCT
ap-951	295	14	,	,	PUNCT
ap-951	295	15	)	)	PUNCT
ap-951	295	16	h	h	NOUN
ap-951	295	17	e0	e0	PROPN
ap-951	295	18	�	�	PROPN
ap-951	295	19	end	end	NOUN
ap-951	295	20	does	do	AUX
ap-951	295	21	depend	depend	VERB
ap-951	295	22	on	on	ADP
ap-951	295	23	deg(e	deg(e	PROPN
ap-951	295	24	)	)	PUNCT
ap-951	295	25	.	.	PUNCT
ap-951	296	1	namely	namely	ADV
ap-951	296	2	,	,	PUNCT
ap-951	296	3	dim	dim	ADJ
ap-951	296	4	(	(	PUNCT
ap-951	296	5	(	(	PUNCT
ap-951	296	6	,	,	PUNCT
ap-951	296	7	,	,	PUNCT
ap-951	296	8	,	,	PUNCT
ap-951	296	9	)	)	PUNCT
ap-951	296	10	)	)	PUNCT
ap-951	297	1	(	(	PUNCT
ap-951	297	2	,	,	PUNCT
ap-951	297	3	)	)	PUNCT
ap-951	297	4	�	�	PROPN
ap-951	297	5	n	n	CCONJ
ap-951	297	6	d	d	PROPN
ap-951	297	7	n	n	CCONJ
ap-951	297	8	d1	d1	PROPN
ap-951	297	9	0	0	NUM
ap-951	297	10	�	�	NOUN
ap-951	297	11	g.c.d	g.c.d	NOUN
ap-951	297	12	.	.	PUNCT
ap-951	297	13	.	.	PUNCT
ap-951	298	1	(	(	PUNCT
ap-951	298	2	4.16	4.16	NUM
ap-951	298	3	)	)	PUNCT
ap-951	298	4	in	in	ADP
ap-951	298	5	this	this	DET
ap-951	298	6	case	case	NOUN
ap-951	298	7	the	the	DET
ap-951	298	8	structure	structure	NOUN
ap-951	298	9	of	of	ADP
ap-951	298	10	the	the	DET
ap-951	298	11	moduli	moduli	NOUN
ap-951	298	12	space	space	NOUN
ap-951	298	13	for	for	ADP
ap-951	298	14	trivial	trivial	ADJ
ap-951	298	15	bundles	bundle	NOUN
ap-951	298	16	(	(	PUNCT
ap-951	298	17	i.e.	i.e.	X
ap-951	298	18	with	with	ADP
ap-951	298	19	deg	deg	PROPN
ap-951	298	20	(	(	PUNCT
ap-951	298	21	)	)	PUNCT
ap-951	298	22	e	e	NOUN
ap-951	298	23	�	�	PROPN
ap-951	298	24	0	0	NUM
ap-951	298	25	)	)	PUNCT
ap-951	298	26	and	and	CCONJ
ap-951	298	27	,	,	PUNCT
ap-951	298	28	for	for	ADP
ap-951	298	29	example	example	NOUN
ap-951	298	30	,	,	PUNCT
ap-951	298	31	for	for	SCONJ
ap-951	298	32	bundles	bundle	NOUN
ap-951	298	33	with	with	ADP
ap-951	298	34	deg	deg	PROPN
ap-951	298	35	(	(	PUNCT
ap-951	298	36	)	)	PUNCT
ap-951	298	37	e	e	NOUN
ap-951	298	38	�	�	NOUN
ap-951	298	39	1is	1i	NOUN
ap-951	298	40	different	different	ADJ
ap-951	298	41	.	.	PUNCT
ap-951	299	1	now	now	ADV
ap-951	299	2	consider	consider	VERB
ap-951	299	3	the	the	DET
ap-951	299	4	higgs	higgs	NOUN
ap-951	299	5	field	field	NOUN
ap-951	299	6	.	.	PUNCT
ap-951	300	1	as	as	SCONJ
ap-951	300	2	we	we	PRON
ap-951	300	3	already	already	ADV
ap-951	300	4	mentioned	mention	VERB
ap-951	300	5	,	,	PUNCT
ap-951	300	6	defines	define	VERB
ap-951	300	7	an	an	DET
ap-951	300	8	endomorphism	endomorphism	NOUN
ap-951	300	9	of	of	ADP
ap-951	300	10	the	the	DET
ap-951	300	11	bundle	bundle	NOUN
ap-951	300	12	e	e	PROPN
ap-951	300	13	�	�	PROPN
ap-951	300	14	�	�	PROPN
ap-951	300	15	�	�	PROPN
ap-951	300	16	�	�	PROPN
ap-951	300	17	:	:	PUNCT
ap-951	300	18	(	(	PUNCT
ap-951	300	19	,	,	PUNCT
ap-951	300	20	)	)	PUNCT
ap-951	300	21	(	(	PUNCT
ap-951	300	22	,	,	PUNCT
ap-951	300	23	)	)	PUNCT
ap-951	300	24	(	(	PUNCT
ap-951	300	25	)	)	PUNCT
ap-951	300	26	,	,	PUNCT
ap-951	300	27	(	(	PUNCT
ap-951	300	28	,	,	PUNCT
ap-951	300	29	)	)	PUNCT
ap-951	300	30	,	,	PUNCT
ap-951	300	31	0	0	NUM
ap-951	300	32	1	1	NUM
ap-951	300	33	0	0	NUM
ap-951	300	34	g	g	PROPN
ap-951	300	35	n	n	CCONJ
ap-951	300	36	g	g	PROPN
ap-951	300	37	ne	ne	X
ap-951	300	38	e	e	X
ap-951	300	39	�	�	PROPN
ap-951	300	40	,	,	PUNCT
ap-951	300	41	s	s	PART
ap-951	300	42	s	s	NOUN
ap-951	300	43	dz	dz	X
ap-951	300	44	�	�	PROPN
ap-951	300	45	"	"	PUNCT
ap-951	300	46	.	.	PUNCT
ap-951	301	1	similarly	similarly	ADV
ap-951	301	2	,	,	PUNCT
ap-951	301	3	they	they	PRON
ap-951	301	4	can	can	AUX
ap-951	301	5	be	be	AUX
ap-951	301	6	described	describe	VERB
ap-951	301	7	as	as	ADP
ap-951	301	8	sections	section	NOUN
ap-951	301	9	of	of	ADP
ap-951	301	10	�	�	PROPN
ap-951	301	11	�	�	PROPN
ap-951	301	12	c	c	PROPN
ap-951	301	13	g	g	PROPN
ap-951	301	14	n	n	PROPN
ap-951	301	15	de	de	PROPN
ap-951	301	16	k	k	X
ap-951	301	17	�	�	PROPN
ap-951	301	18	"	"	PUNCT
ap-951	301	19	(	(	PUNCT
ap-951	301	20	)	)	PUNCT
ap-951	301	21	,	,	PUNCT
ap-951	301	22	(	(	PUNCT
ap-951	301	23	,	,	PUNCT
ap-951	301	24	)	)	PUNCT
ap-951	301	25	0	0	NUM
ap-951	301	26	end	end	NOUN
ap-951	301	27	.	.	PUNCT
ap-951	302	1	here	here	ADV
ap-951	302	2	kd	kd	PROPN
ap-951	302	3	is	be	AUX
ap-951	302	4	the	the	DET
ap-951	302	5	canonical	canonical	ADJ
ap-951	302	6	class	class	NOUN
ap-951	302	7	on	on	ADP
ap-951	302	8	�	�	PROPN
ap-951	302	9	\	\	PROPN
ap-951	303	1	d	d	NOUN
ap-951	303	2	that	that	PRON
ap-951	303	3	locally	locally	ADV
ap-951	303	4	apart	apart	ADV
ap-951	303	5	from	from	ADP
ap-951	303	6	d	d	PROPN
ap-951	303	7	is	be	AUX
ap-951	303	8	represented	represent	VERB
ap-951	303	9	as	as	ADP
ap-951	303	10	dz	dz	PROPN
ap-951	303	11	.	.	PROPN
ap-951	303	12	rememeber	rememeber	NOUN
ap-951	303	13	that	that	PRON
ap-951	303	14	has	have	VERB
ap-951	303	15	poles	pole	NOUN
ap-951	303	16	at	at	ADP
ap-951	303	17	d.	d.	PROPN
ap-951	303	18	on	on	ADP
ap-951	303	19	the	the	DET
ap-951	303	20	other	other	ADJ
ap-951	303	21	hand	hand	NOUN
ap-951	303	22	,	,	PUNCT
ap-951	303	23	as	as	SCONJ
ap-951	303	24	it	it	PRON
ap-951	303	25	follows	follow	VERB
ap-951	303	26	from	from	ADP
ap-951	303	27	the	the	DET
ap-951	303	28	definition	definition	NOUN
ap-951	303	29	of	of	ADP
ap-951	303	30	the	the	DET
ap-951	303	31	symplectic	symplectic	ADJ
ap-951	303	32	structure	structure	NOUN
ap-951	303	33	(	(	PUNCT
ap-951	303	34	4.4	4.4	NUM
ap-951	303	35	)	)	PUNCT
ap-951	303	36	on	on	ADP
ap-951	303	37	the	the	DET
ap-951	303	38	set	set	NOUN
ap-951	303	39	of	of	ADP
ap-951	303	40	pairs	pair	NOUN
ap-951	303	41	(	(	PUNCT
ap-951	303	42	,	,	PUNCT
ap-951	303	43	)	)	PUNCT
ap-951	303	44	a	a	X
ap-951	303	45	,	,	PUNCT
ap-951	303	46	that	that	SCONJ
ap-951	303	47	the	the	DET
ap-951	303	48	higgs	higgs	NOUN
ap-951	303	49	field	field	NOUN
ap-951	303	50	plays	play	VERB
ap-951	303	51	the	the	DET
ap-951	303	52	role	role	NOUN
ap-951	303	53	of	of	ADP
ap-951	303	54	a	a	DET
ap-951	303	55	“	"	PUNCT
ap-951	303	56	covector	covector	NOUN
ap-951	303	57	”	"	PUNCT
ap-951	303	58	with	with	ADP
ap-951	303	59	respect	respect	NOUN
ap-951	303	60	to	to	ADP
ap-951	303	61	vector	vector	NOUN
ap-951	303	62	a.	a.	NOUN
ap-951	303	63	in	in	ADP
ap-951	303	64	this	this	DET
ap-951	303	65	way	way	NOUN
ap-951	303	66	the	the	DET
ap-951	303	67	higgs	higgs	NOUN
ap-951	303	68	field	field	NOUN
ap-951	303	69	is	be	AUX
ap-951	303	70	a	a	DET
ap-951	303	71	section	section	NOUN
ap-951	303	72	of	of	ADP
ap-951	303	73	the	the	DET
ap-951	303	74	cotangent	cotangent	NOUN
ap-951	303	75	bundle	bundle	NOUN
ap-951	303	76	t	t	PROPN
ap-951	303	77	stable	stable	PROPN
ap-951	303	78	*	*	PUNCT
ap-951	303	79	�	�	PROPN
ap-951	303	80	.	.	PUNCT
ap-951	304	1	the	the	DET
ap-951	304	2	pair	pair	NOUN
ap-951	304	3	of	of	ADP
ap-951	304	4	the	the	DET
ap-951	304	5	holomorphic	holomorphic	ADJ
ap-951	304	6	vector	vector	NOUN
ap-951	304	7	bundle	bundle	NOUN
ap-951	304	8	and	and	CCONJ
ap-951	304	9	the	the	DET
ap-951	304	10	higgs	higgs	NOUN
ap-951	304	11	field	field	NOUN
ap-951	304	12	(	(	PUNCT
ap-951	304	13	e	e	NOUN
ap-951	304	14	,	,	PUNCT
ap-951	304	15	)	)	PUNCT
ap-951	304	16	is	be	AUX
ap-951	304	17	called	call	VERB
ap-951	304	18	the	the	DET
ap-951	304	19	higgs	higgs	PROPN
ap-951	304	20	bundle	bundle	PROPN
ap-951	304	21	.	.	PUNCT
ap-951	305	1	the	the	DET
ap-951	305	2	reduced	reduce	VERB
ap-951	305	3	phase	phase	NOUN
ap-951	305	4	space	space	NOUN
ap-951	305	5	(	(	PUNCT
ap-951	305	6	4.15	4.15	NUM
ap-951	305	7	)	)	PUNCT
ap-951	305	8	is	be	AUX
ap-951	305	9	the	the	DET
ap-951	305	10	moduli	moduli	ADJ
ap-951	305	11	space	space	NOUN
ap-951	305	12	of	of	ADP
ap-951	305	13	the	the	DET
ap-951	305	14	quasi	quasi	ADJ
ap-951	305	15	-	-	ADJ
ap-951	305	16	parabolic	parabolic	ADJ
ap-951	305	17	higgs	higgs	NOUN
ap-951	305	18	bundles	bundle	NOUN
ap-951	305	19	.	.	PUNCT
ap-951	306	1	it	it	PRON
ap-951	306	2	is	be	AUX
ap-951	306	3	the	the	DET
ap-951	306	4	cotangent	cotangent	NOUN
ap-951	306	5	bundle	bundle	NOUN
ap-951	306	6	�	�	PROPN
ap-951	306	7	�	�	PROPN
ap-951	306	8	red	red	PROPN
ap-951	306	9	t	t	PROPN
ap-951	306	10	n	n	ADP
ap-951	306	11	g	g	PROPN
ap-951	306	12	n	n	PROPN
ap-951	306	13	d	d	X
ap-951	306	14	�	�	PROPN
ap-951	306	15	*	*	PUNCT
ap-951	306	16	(	(	PUNCT
ap-951	306	17	,	,	PUNCT
ap-951	306	18	,	,	PUNCT
ap-951	306	19	,	,	PUNCT
ap-951	306	20	)	)	PUNCT
ap-951	306	21	.	.	PUNCT
ap-951	307	1	(	(	PUNCT
ap-951	307	2	4.17	4.17	NUM
ap-951	307	3	)	)	PUNCT
ap-951	307	4	due	due	ADP
ap-951	307	5	to	to	ADP
ap-951	307	6	the	the	DET
ap-951	307	7	gauss	gauss	ADJ
ap-951	307	8	law	law	PROPN
ap-951	307	9	(	(	PUNCT
ap-951	307	10	4.14	4.14	NUM
ap-951	307	11	)	)	PUNCT
ap-951	307	12	,	,	PUNCT
ap-951	307	13	the	the	DET
ap-951	307	14	higgs	higgs	PROPN
ap-951	307	15	fields	field	NOUN
ap-951	307	16	are	be	AUX
ap-951	307	17	holomorphic	holomorphic	ADJ
ap-951	307	18	on	on	ADP
ap-951	307	19	�	�	PROPN
ap-951	307	20	\	\	PROPN
ap-951	307	21	d.	d.	PROPN
ap-951	307	22	then	then	ADV
ap-951	307	23	on	on	ADP
ap-951	307	24	the	the	DET
ap-951	307	25	reduced	reduce	VERB
ap-951	307	26	space	space	NOUN
ap-951	307	27	�	�	PROPN
ap-951	307	28	red	red	PROPN
ap-951	307	29	�	�	PROPN
ap-951	307	30	�	�	PROPN
ap-951	307	31	"	"	PUNCT
ap-951	307	32	h	h	NOUN
ap-951	307	33	e	e	NOUN
ap-951	307	34	kg	kg	NOUN
ap-951	307	35	n	n	PROPN
ap-951	307	36	d	d	PROPN
ap-951	307	37	0	0	PROPN
ap-951	307	38	(	(	PUNCT
ap-951	307	39	,	,	PUNCT
ap-951	307	40	)	)	PUNCT
ap-951	307	41	,	,	PUNCT
ap-951	307	42	end	end	NOUN
ap-951	307	43	*	*	PUNCT
ap-951	307	44	.	.	PUNCT
ap-951	308	1	(	(	PUNCT
ap-951	308	2	4.18	4.18	NUM
ap-951	308	3	)	)	PUNCT
ap-951	308	4	a	a	DET
ap-951	308	5	part	part	NOUN
ap-951	308	6	of	of	ADP
ap-951	308	7	t	t	PROPN
ap-951	308	8	n	n	CCONJ
ap-951	308	9	g	g	PROPN
ap-951	308	10	n	n	PROPN
ap-951	308	11	d	d	X
ap-951	308	12	*	*	PUNCT
ap-951	308	13	(	(	PUNCT
ap-951	308	14	,	,	PUNCT
ap-951	308	15	,	,	PUNCT
ap-951	308	16	,	,	PUNCT
ap-951	308	17	)	)	PUNCT
ap-951	308	18	�	�	PROPN
ap-951	308	19	comes	come	VERB
ap-951	308	20	from	from	ADP
ap-951	308	21	the	the	DET
ap-951	308	22	cotangent	cotangent	NOUN
ap-951	308	23	bundle	bundle	NOUN
ap-951	308	24	to	to	ADP
ap-951	308	25	the	the	DET
ap-951	308	26	flag	flag	NOUN
ap-951	308	27	varieties	variety	NOUN
ap-951	308	28	t	t	PROPN
ap-951	308	29	g	g	PROPN
ap-951	308	30	b	b	PROPN
ap-951	308	31	a	a	PRON
ap-951	308	32	*	*	X
ap-951	308	33	(	(	PUNCT
ap-951	308	34	)	)	PUNCT
ap-951	308	35	located	locate	VERB
ap-951	308	36	at	at	ADP
ap-951	308	37	the	the	DET
ap-951	308	38	marked	mark	VERB
ap-951	308	39	points	point	NOUN
ap-951	308	40	.	.	PUNCT
ap-951	309	1	without	without	ADP
ap-951	309	2	the	the	DET
ap-951	309	3	null	null	ADJ
ap-951	309	4	section	section	NOUN
ap-951	309	5	t	t	PROPN
ap-951	309	6	g	g	PROPN
ap-951	309	7	b	b	PROPN
ap-951	309	8	a	a	PRON
ap-951	309	9	*	*	X
ap-951	309	10	(	(	PUNCT
ap-951	309	11	)	)	PUNCT
ap-951	309	12	is	be	AUX
ap-951	309	13	isomorphic	isomorphic	ADJ
ap-951	309	14	to	to	ADP
ap-951	309	15	a	a	DET
ap-951	309	16	unipotent	unipotent	ADJ
ap-951	309	17	coadjoint	coadjoint	NOUN
ap-951	309	18	orbit	orbit	NOUN
ap-951	309	19	,	,	PUNCT
ap-951	309	20	while	while	SCONJ
ap-951	309	21	the	the	DET
ap-951	309	22	null	null	ADJ
ap-951	309	23	section	section	NOUN
ap-951	309	24	is	be	AUX
ap-951	309	25	the	the	DET
ap-951	309	26	trivial	trivial	ADJ
ap-951	309	27	orbit	orbit	NOUN
ap-951	309	28	.	.	PUNCT
ap-951	310	1	generic	generic	ADJ
ap-951	310	2	coadjoint	coadjoint	NOUN
ap-951	310	3	orbits	orbit	NOUN
ap-951	310	4	passing	pass	VERB
ap-951	310	5	through	through	ADP
ap-951	310	6	a	a	DET
ap-951	310	7	semi	semi	ADJ
ap-951	310	8	-	-	ADJ
ap-951	310	9	simple	simple	ADJ
ap-951	310	10	element	element	NOUN
ap-951	310	11	of	of	ADP
ap-951	310	12	gl	gl	PROPN
ap-951	310	13	(	(	PUNCT
ap-951	310	14	,	,	PUNCT
ap-951	310	15	)	)	PUNCT
ap-951	310	16	n	n	PRON
ap-951	310	17	�	�	PROPN
ap-951	310	18	are	be	AUX
ap-951	310	19	affine	affine	NOUN
ap-951	310	20	spaces	space	NOUN
ap-951	310	21	over	over	ADP
ap-951	310	22	t	t	PROPN
ap-951	310	23	g	g	PROPN
ap-951	310	24	b	b	PROPN
ap-951	310	25	a	a	PRON
ap-951	310	26	*	*	X
ap-951	310	27	(	(	PUNCT
ap-951	310	28	)	)	PUNCT
ap-951	310	29	.	.	PUNCT
ap-951	311	1	in	in	ADP
ap-951	311	2	this	this	DET
ap-951	311	3	way	way	NOUN
ap-951	311	4	we	we	PRON
ap-951	311	5	come	come	VERB
ap-951	311	6	to	to	ADP
ap-951	311	7	the	the	DET
ap-951	311	8	moduli	moduli	ADJ
ap-951	311	9	space	space	NOUN
ap-951	311	10	of	of	ADP
ap-951	311	11	the	the	DET
ap-951	311	12	quasi	quasi	ADJ
ap-951	311	13	-	-	ADJ
ap-951	311	14	parabolic	parabolic	ADJ
ap-951	311	15	higgs	higgs	NOUN
ap-951	311	16	bundles	bundle	NOUN
ap-951	311	17	[	[	X
ap-951	311	18	29	29	NUM
ap-951	311	19	]	]	PUNCT
ap-951	311	20	.	.	PUNCT
ap-951	312	1	it	it	PRON
ap-951	312	2	has	have	VERB
ap-951	312	3	dimension	dimension	NOUN
ap-951	312	4	dim	dim	NOUN
ap-951	312	5	(	(	PUNCT
ap-951	312	6	)	)	PUNCT
ap-951	312	7	(	(	PUNCT
ap-951	312	8	)	)	PUNCT
ap-951	312	9	�	�	PROPN
ap-951	312	10	red	red	PROPN
ap-951	312	11	n	n	CCONJ
ap-951	312	12	g	g	PROPN
ap-951	312	13	n	n	CCONJ
ap-951	312	14	n	n	CCONJ
ap-951	312	15	n	n	CCONJ
ap-951	312	16	�	�	PROPN
ap-951	312	17	�	�	PROPN
ap-951	312	18	�	�	PROPN
ap-951	312	19	2	2	NUM
ap-951	312	20	1	1	NUM
ap-951	312	21	2	2	NUM
ap-951	312	22	12	12	NUM
ap-951	312	23	(	(	PUNCT
ap-951	312	24	4.19	4.19	NUM
ap-951	312	25	)	)	PUNCT
ap-951	312	26	this	this	DET
ap-951	312	27	formula	formula	NOUN
ap-951	312	28	is	be	AUX
ap-951	312	29	universal	universal	ADJ
ap-951	312	30	and	and	CCONJ
ap-951	312	31	valid	valid	ADJ
ap-951	312	32	also	also	ADV
ap-951	312	33	for	for	ADP
ap-951	312	34	g	g	PROPN
ap-951	312	35	�	�	PROPN
ap-951	312	36	0	0	NUM
ap-951	312	37	1	1	NUM
ap-951	312	38	,	,	PUNCT
ap-951	312	39	and	and	CCONJ
ap-951	312	40	does	do	AUX
ap-951	312	41	not	not	PART
ap-951	312	42	depend	depend	VERB
ap-951	312	43	on	on	ADP
ap-951	312	44	deg(e	deg(e	PROPN
ap-951	312	45	)	)	PUNCT
ap-951	312	46	.	.	PUNCT
ap-951	313	1	at	at	ADP
ap-951	313	2	first	first	ADJ
ap-951	313	3	glance	glance	NOUN
ap-951	313	4	,	,	PUNCT
ap-951	313	5	for	for	ADP
ap-951	313	6	g	g	PROPN
ap-951	313	7	�	�	PROPN
ap-951	313	8	1	1	NUM
ap-951	313	9	this	this	DET
ap-951	313	10	formula	formula	NOUN
ap-951	313	11	appears	appear	VERB
ap-951	313	12	to	to	PART
ap-951	313	13	contradict	contradict	VERB
ap-951	313	14	to	to	ADP
ap-951	313	15	(	(	PUNCT
ap-951	313	16	4.16	4.16	NUM
ap-951	313	17	)	)	PUNCT
ap-951	313	18	.	.	PUNCT
ap-951	314	1	in	in	ADP
ap-951	314	2	fact	fact	NOUN
ap-951	314	3	,	,	PUNCT
ap-951	314	4	we	we	PRON
ap-951	314	5	have	have	VERB
ap-951	314	6	a	a	DET
ap-951	314	7	residual	residual	ADJ
ap-951	314	8	gauge	gauge	NOUN
ap-951	314	9	symmetry	symmetry	NOUN
ap-951	314	10	generated	generate	VERB
ap-951	314	11	by	by	ADP
ap-951	314	12	a	a	DET
ap-951	314	13	subgroup	subgroup	NOUN
ap-951	314	14	of	of	ADP
ap-951	314	15	the	the	DET
ap-951	314	16	cartan	cartan	PROPN
ap-951	314	17	group	group	NOUN
ap-951	314	18	of	of	ADP
ap-951	314	19	gl	gl	PROPN
ap-951	314	20	(	(	PUNCT
ap-951	314	21	,	,	PUNCT
ap-951	314	22	)	)	PUNCT
ap-951	314	23	n	n	DET
ap-951	314	24	�	�	PROPN
ap-951	314	25	.	.	PUNCT
ap-951	315	1	the	the	DET
ap-951	315	2	symplectic	symplectic	ADJ
ap-951	315	3	reduction	reduction	NOUN
ap-951	315	4	with	with	ADP
ap-951	315	5	respect	respect	NOUN
ap-951	315	6	to	to	ADP
ap-951	315	7	this	this	DET
ap-951	315	8	symmetry	symmetry	NOUN
ap-951	315	9	kill	kill	VERB
ap-951	315	10	these	these	DET
ap-951	315	11	degrees	degree	NOUN
ap-951	315	12	of	of	ADP
ap-951	315	13	freedom	freedom	NOUN
ap-951	315	14	and	and	CCONJ
ap-951	315	15	we	we	PRON
ap-951	315	16	come	come	VERB
ap-951	315	17	to	to	PART
ap-951	315	18	dim	dim	VERB
ap-951	315	19	(	(	PUNCT
ap-951	315	20	)	)	PUNCT
ap-951	315	21	�	�	PROPN
ap-951	315	22	red	red	PROPN
ap-951	315	23	n	n	PROPN
ap-951	315	24	n	n	CCONJ
ap-951	315	25	n	n	CCONJ
ap-951	315	26	�	�	PROPN
ap-951	315	27	�	�	PROPN
ap-951	315	28	2	2	NUM
ap-951	315	29	1	1	NUM
ap-951	315	30	(	(	PUNCT
ap-951	315	31	see	see	VERB
ap-951	315	32	(	(	PUNCT
ap-951	315	33	4.6	4.6	NUM
ap-951	315	34	)	)	PUNCT
ap-951	315	35	.	.	PUNCT
ap-951	316	1	we	we	PRON
ap-951	316	2	explain	explain	VERB
ap-951	316	3	this	this	DET
ap-951	316	4	mechanism	mechanism	NOUN
ap-951	316	5	on	on	ADP
ap-951	316	6	a	a	DET
ap-951	316	7	particular	particular	ADJ
ap-951	316	8	example	example	NOUN
ap-951	316	9	in	in	ADP
ap-951	316	10	section	section	NOUN
ap-951	316	11	4.2.2	4.2.2	NUM
ap-951	316	12	.	.	PUNCT
ap-951	317	1	formula	formula	NOUN
ap-951	317	2	(	(	PUNCT
ap-951	317	3	4.6	4.6	NUM
ap-951	317	4	)	)	PUNCT
ap-951	317	5	suggests	suggest	VERB
ap-951	317	6	that	that	SCONJ
ap-951	317	7	the	the	DET
ap-951	317	8	phase	phase	NOUN
ap-951	317	9	spaces	space	VERB
ap-951	317	10	corresponding	correspond	VERB
ap-951	317	11	to	to	ADP
ap-951	317	12	bundles	bundle	NOUN
ap-951	317	13	of	of	ADP
ap-951	317	14	different	different	ADJ
ap-951	317	15	degrees	degree	NOUN
ap-951	317	16	may	may	AUX
ap-951	317	17	be	be	AUX
ap-951	317	18	symplectomorphic	symplectomorphic	ADJ
ap-951	317	19	.	.	PUNCT
ap-951	318	1	we	we	PRON
ap-951	318	2	will	will	AUX
ap-951	318	3	see	see	VERB
ap-951	318	4	soon	soon	ADV
ap-951	318	5	this	this	PRON
ap-951	318	6	is	be	AUX
ap-951	318	7	the	the	DET
ap-951	318	8	case	case	NOUN
ap-951	318	9	.	.	PUNCT
ap-951	319	1	it	it	PRON
ap-951	319	2	follows	follow	VERB
ap-951	319	3	from	from	ADP
ap-951	319	4	(	(	PUNCT
ap-951	319	5	4.18	4.18	NUM
ap-951	319	6	)	)	PUNCT
ap-951	319	7	that	that	PRON
ap-951	319	8	�	�	VERB
ap-951	319	9	j	j	PROPN
ap-951	319	10	g	g	PROPN
ap-951	319	11	n	n	PROPN
ap-951	320	1	d	d	PROPN
ap-951	320	2	jh	jh	PROPN
ap-951	320	3	k	k	PROPN
ap-951	320	4	�	�	PROPN
ap-951	320	5	0	0	NUM
ap-951	320	6	(	(	PUNCT
ap-951	320	7	,	,	PUNCT
ap-951	320	8	)	)	PUNCT
ap-951	320	9	,	,	PUNCT
ap-951	320	10	.	.	PUNCT
ap-951	321	1	in	in	ADP
ap-951	321	2	other	other	ADJ
ap-951	321	3	words	word	NOUN
ap-951	321	4	j	j	PROPN
ap-951	321	5	are	be	AUX
ap-951	321	6	meromorphic	meromorphic	ADJ
ap-951	321	7	forms	form	NOUN
ap-951	321	8	on	on	ADP
ap-951	321	9	the	the	DET
ap-951	321	10	curve	curve	NOUN
ap-951	321	11	with	with	ADP
ap-951	321	12	poles	pole	NOUN
ap-951	321	13	of	of	ADP
ap-951	321	14	the	the	DET
ap-951	321	15	order	order	NOUN
ap-951	321	16	j	j	PROPN
ap-951	321	17	at	at	ADP
ap-951	321	18	the	the	DET
ap-951	321	19	divisor	divisor	NOUN
ap-951	321	20	d.	d.	NOUN
ap-951	321	21	let	let	VERB
ap-951	321	22	�	�	PROPN
ap-951	321	23	jk	jk	PROPN
ap-951	321	24	be	be	AUX
ap-951	321	25	a	a	DET
ap-951	321	26	basis	basis	NOUN
ap-951	321	27	of	of	ADP
ap-951	321	28	h	h	NOUN
ap-951	321	29	kg	kg	PROPN
ap-951	321	30	n	n	PROPN
ap-951	321	31	d	d	PROPN
ap-951	321	32	j0	j0	PROPN
ap-951	321	33	(	(	PUNCT
ap-951	321	34	,	,	PUNCT
ap-951	321	35	)	)	PUNCT
ap-951	321	36	,	,	PUNCT
ap-951	321	37	�	�	PROPN
ap-951	321	38	.	.	PUNCT
ap-951	322	1	then	then	ADV
ap-951	322	2	1	1	NUM
ap-951	322	3	1	1	NUM
ap-951	322	4	j	j	NOUN
ap-951	322	5	ij	ij	INTJ
ap-951	323	1	jk	jk	PROPN
ap-951	323	2	jk	jk	PROPN
ap-951	323	3	k	k	PROPN
ap-951	324	1	n	n	PROPN
ap-951	324	2	j	j	PROPN
ap-951	324	3	�	�	PROPN
ap-951	324	4	�	�	PROPN
ap-951	324	5	�	�	PROPN
ap-951	324	6	�	�	PROPN
ap-951	324	7	.	.	PUNCT
ap-951	325	1	(	(	PUNCT
ap-951	325	2	4.20	4.20	NUM
ap-951	325	3	)	)	PUNCT
ap-951	325	4	the	the	DET
ap-951	325	5	basis	basis	NOUN
ap-951	325	6	�	�	PROPN
ap-951	325	7	jk	jk	PROPN
ap-951	325	8	in	in	ADP
ap-951	325	9	h	h	PROPN
ap-951	325	10	dg	dg	PROPN
ap-951	325	11	n	n	PROPN
ap-951	325	12	j1	j1	PROPN
ap-951	325	13	1	1	NUM
ap-951	325	14	(	(	PUNCT
ap-951	325	15	\	\	NOUN
ap-951	325	16	,	,	PUNCT
ap-951	325	17	)	)	PUNCT
ap-951	325	18	,	,	PUNCT
ap-951	325	19	�	�	PROPN
ap-951	325	20	"	"	PUNCT
ap-951	325	21	�	�	PROPN
ap-951	325	22	introduced	introduce	VERB
ap-951	325	23	above	above	ADV
ap-951	325	24	is	be	AUX
ap-951	325	25	dual	dual	ADJ
ap-951	325	26	to	to	ADP
ap-951	325	27	the	the	DET
ap-951	325	28	basis	basis	NOUN
ap-951	325	29	�	�	PROPN
ap-951	325	30	jk	jk	PROPN
ap-951	325	31	�	�	PROPN
ap-951	325	32	�	�	PROPN
ap-951	325	33	�	�	PROPN
ap-951	325	34	�	�	PROPN
ap-951	325	35	jk	jk	PROPN
ap-951	325	36	lm	lm	INTJ
ap-951	326	1	j	j	PROPN
ap-951	326	2	l	l	PROPN
ap-951	327	1	k	k	PROPN
ap-951	327	2	m	m	VERB
ap-951	327	3	g	g	PROPN
ap-951	327	4	n	n	CCONJ
ap-951	327	5	�	�	PROPN
ap-951	327	6	,	,	PUNCT
ap-951	327	7	�	�	PROPN
ap-951	327	8	�	�	PROPN
ap-951	327	9	.	.	PUNCT
ap-951	328	1	then	then	ADV
ap-951	328	2	the	the	DET
ap-951	328	3	coefficients	coefficient	NOUN
ap-951	328	4	of	of	ADP
ap-951	328	5	the	the	DET
ap-951	328	6	expansion	expansion	NOUN
ap-951	328	7	(	(	PUNCT
ap-951	328	8	4.20	4.20	NUM
ap-951	328	9	)	)	PUNCT
ap-951	328	10	coincide	coincide	NOUN
ap-951	328	11	with	with	ADP
ap-951	328	12	the	the	DET
ap-951	328	13	integrals	integral	NOUN
ap-951	328	14	(	(	PUNCT
ap-951	328	15	4.7	4.7	NUM
ap-951	328	16	)	)	PUNCT
ap-951	328	17	.	.	PUNCT
ap-951	329	1	the	the	DET
ap-951	329	2	dimensions	dimensions	PROPN
ap-951	329	3	nj	nj	PROPN
ap-951	329	4	(	(	PUNCT
ap-951	329	5	4.6	4.6	NUM
ap-951	329	6	)	)	PUNCT
ap-951	329	7	can	can	AUX
ap-951	329	8	be	be	AUX
ap-951	329	9	calculated	calculate	VERB
ap-951	329	10	as	as	ADP
ap-951	329	11	dim	dim	ADJ
ap-951	329	12	(	(	PUNCT
ap-951	329	13	,	,	PUNCT
ap-951	329	14	)	)	PUNCT
ap-951	329	15	,	,	PUNCT
ap-951	330	1	h	h	NOUN
ap-951	330	2	kg	kg	PROPN
ap-951	331	1	n	n	PROPN
ap-951	331	2	d	d	PROPN
ap-951	331	3	j0	j0	PROPN
ap-951	331	4	�	�	PROPN
ap-951	331	5	.	.	PUNCT
ap-951	332	1	symplectic	symplectic	ADJ
ap-951	332	2	reduction	reduction	NOUN
ap-951	332	3	preserves	preserve	VERB
ap-951	332	4	the	the	DET
ap-951	332	5	involutivity	involutivity	NOUN
ap-951	332	6	(	(	PUNCT
ap-951	332	7	4.10	4.10	NUM
ap-951	332	8	)	)	PUNCT
ap-951	332	9	of	of	ADP
ap-951	332	10	the	the	DET
ap-951	332	11	integrals	integral	NOUN
ap-951	332	12	(	(	PUNCT
ap-951	332	13	4.7	4.7	NUM
ap-951	332	14	)	)	PUNCT
ap-951	332	15	.	.	PUNCT
ap-951	333	1	since	since	SCONJ
ap-951	333	2	(	(	PUNCT
ap-951	333	3	see(4.8	see(4.8	NUM
ap-951	333	4	)	)	PUNCT
ap-951	333	5	,	,	PUNCT
ap-951	333	6	(	(	PUNCT
ap-951	333	7	4.9	4.9	NUM
ap-951	333	8	)	)	PUNCT
ap-951	333	9	)	)	PUNCT
ap-951	333	10	we	we	PRON
ap-951	333	11	come	come	VERB
ap-951	333	12	to	to	ADP
ap-951	333	13	integrable	integrable	ADJ
ap-951	333	14	systems	system	NOUN
ap-951	333	15	on	on	ADP
ap-951	333	16	the	the	DET
ap-951	333	17	moduli	moduli	ADJ
ap-951	333	18	space	space	NOUN
ap-951	333	19	of	of	ADP
ap-951	333	20	the	the	DET
ap-951	333	21	quasi	quasi	ADJ
ap-951	333	22	-	-	ADJ
ap-951	333	23	parabolic	parabolic	ADJ
ap-951	333	24	higgs	higgs	NOUN
ap-951	333	25	bundles	bundle	NOUN
ap-951	333	26	�	�	NOUN
ap-951	333	27	red	red	PROPN
ap-951	333	28	.	.	PUNCT
ap-951	334	1	for	for	ADP
ap-951	334	2	gl	gl	PROPN
ap-951	334	3	(	(	PUNCT
ap-951	334	4	,	,	PUNCT
ap-951	334	5	)	)	PUNCT
ap-951	334	6	n	n	CCONJ
ap-951	334	7	�	�	PROPN
ap-951	334	8	the	the	DET
ap-951	334	9	liouville	liouville	NOUN
ap-951	334	10	torus	torus	NOUN
ap-951	334	11	is	be	AUX
ap-951	334	12	the	the	DET
ap-951	334	13	jacobian	jacobian	NOUN
ap-951	334	14	of	of	ADP
ap-951	334	15	the	the	DET
ap-951	334	16	spectral	spectral	ADJ
ap-951	334	17	curve	curve	NOUN
ap-951	334	18	�	�	PROPN
ap-951	334	19	(	(	PUNCT
ap-951	334	20	2.5	2.5	NUM
ap-951	334	21	)	)	PUNCT
ap-951	334	22	.	.	PUNCT
ap-951	335	1	consider	consider	VERB
ap-951	335	2	bundles	bundle	NOUN
ap-951	335	3	with	with	ADP
ap-951	335	4	the	the	DET
ap-951	335	5	structure	structure	NOUN
ap-951	335	6	group	group	NOUN
ap-951	335	7	replaced	replace	VERB
ap-951	335	8	by	by	ADP
ap-951	335	9	a	a	DET
ap-951	335	10	reductive	reductive	ADJ
ap-951	335	11	group	group	NOUN
ap-951	335	12	g.	g.	NOUN
ap-951	335	13	the	the	DET
ap-951	335	14	algebraic	algebraic	PROPN
ap-951	335	15	integrability	integrability	NOUN
ap-951	335	16	for	for	ADP
ap-951	335	17	g	g	PROPN
ap-951	335	18	�	�	PROPN
ap-951	335	19	1and	1and	NUM
ap-951	335	20	g	g	NOUN
ap-951	335	21	is	be	AUX
ap-951	335	22	a	a	DET
ap-951	335	23	classical	classical	ADJ
ap-951	335	24	simple	simple	ADJ
ap-951	335	25	group	group	NOUN
ap-951	335	26	was	be	AUX
ap-951	335	27	proved	prove	VERB
ap-951	335	28	in	in	ADP
ap-951	335	29	[	[	X
ap-951	335	30	1	1	NUM
ap-951	335	31	]	]	PUNCT
ap-951	335	32	.	.	PUNCT
ap-951	336	1	the	the	DET
ap-951	336	2	case	case	NOUN
ap-951	336	3	of	of	ADP
ap-951	336	4	exceptional	exceptional	ADJ
ap-951	336	5	groups	group	NOUN
ap-951	336	6	was	be	AUX
ap-951	336	7	considered	consider	VERB
ap-951	336	8	in	in	ADP
ap-951	336	9	[	[	X
ap-951	336	10	30	30	NUM
ap-951	336	11	,	,	PUNCT
ap-951	336	12	31	31	NUM
ap-951	336	13	]	]	PUNCT
ap-951	336	14	.	.	PUNCT
ap-951	337	1	4.1.5	4.1.5	NUM
ap-951	337	2	equations	equation	NOUN
ap-951	337	3	of	of	ADP
ap-951	337	4	motion	motion	NOUN
ap-951	337	5	on	on	ADP
ap-951	337	6	the	the	DET
ap-951	337	7	reduced	reduce	VERB
ap-951	337	8	phase	phase	NOUN
ap-951	337	9	space	space	NOUN
ap-951	337	10	let	let	VERB
ap-951	337	11	us	we	PRON
ap-951	337	12	fix	fix	VERB
ap-951	337	13	a	a	DET
ap-951	337	14	gauge	gauge	NOUN
ap-951	337	15	a	a	DET
ap-951	337	16	a	a	DET
ap-951	337	17	�	�	PROPN
ap-951	337	18	0	0	NUM
ap-951	337	19	.	.	PUNCT
ap-951	338	1	for	for	ADP
ap-951	338	2	an	an	DET
ap-951	338	3	arbitrary	arbitrary	ADJ
ap-951	338	4	connection	connection	NOUN
ap-951	338	5	a	a	DET
ap-951	338	6	define	define	NOUN
ap-951	338	7	a	a	DET
ap-951	338	8	gauge	gauge	ADJ
ap-951	338	9	transform	transform	NOUN
ap-951	338	10	©	©	PROPN
ap-951	338	11	czech	czech	PROPN
ap-951	338	12	technical	technical	PROPN
ap-951	338	13	university	university	PROPN
ap-951	338	14	publishing	publishing	NOUN
ap-951	338	15	house	house	NOUN
ap-951	338	16	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-951	338	17	11	11	NUM
ap-951	338	18	acta	acta	PROPN
ap-951	338	19	polytechnica	polytechnica	PROPN
ap-951	338	20	vol	vol	NOUN
ap-951	338	21	.	.	PUNCT
ap-951	339	1	48	48	NUM
ap-951	339	2	no	no	NOUN
ap-951	339	3	.	.	PUNCT
ap-951	340	1	2/2008	2/2008	NOUN
ap-951	340	2	1	1	NUM
ap-951	340	3	2	2	NUM
ap-951	340	4	dim	dim	NOUN
ap-951	340	5	(	(	PUNCT
ap-951	340	6	,	,	PUNCT
ap-951	340	7	,	,	PUNCT
ap-951	340	8	)	)	PUNCT
ap-951	340	9	*	*	PUNCT
ap-951	340	10	�	�	PROPN
ap-951	340	11	n	n	CCONJ
ap-951	340	12	g	g	PROPN
ap-951	340	13	n	n	CCONJ
ap-951	340	14	�	�	PROPN
ap-951	340	15	number	number	NOUN
ap-951	340	16	of	of	ADP
ap-951	340	17	integrals	integral	NOUN
ap-951	340	18	f	f	PROPN
ap-951	340	19	a	a	DET
ap-951	340	20	a	a	DET
ap-951	340	21	a	a	X
ap-951	340	22	[	[	PUNCT
ap-951	340	23	]	]	X
ap-951	340	24	:	:	PUNCT
ap-951	340	25	�	�	PROPN
ap-951	340	26	0	0	PROPN
ap-951	340	27	,	,	PUNCT
ap-951	340	28	a	a	DET
ap-951	340	29	f	f	X
ap-951	340	30	f	f	PROPN
ap-951	340	31	a	a	DET
ap-951	340	32	f	f	PROPN
ap-951	340	33	a	a	DET
ap-951	340	34	af	af	PROPN
ap-951	340	35	a0	a0	PROPN
ap-951	340	36	1	1	NUM
ap-951	340	37	1	1	NUM
ap-951	340	38	�	�	PROPN
ap-951	340	39	�	�	PROPN
ap-951	340	40	�	�	PROPN
ap-951	340	41	(	(	PUNCT
ap-951	340	42	)	)	PUNCT
ap-951	340	43	[	[	PUNCT
ap-951	340	44	]	]	X
ap-951	340	45	[	[	PUNCT
ap-951	340	46	]	]	X
ap-951	340	47	[	[	PUNCT
ap-951	340	48	]	]	X
ap-951	340	49	�	�	PROPN
ap-951	340	50	then	then	ADV
ap-951	340	51	f	f	PROPN
ap-951	340	52	a	a	X
ap-951	340	53	[	[	PUNCT
ap-951	340	54	]	]	X
ap-951	340	55	is	be	AUX
ap-951	340	56	an	an	DET
ap-951	340	57	element	element	NOUN
ap-951	340	58	of	of	ADP
ap-951	340	59	the	the	DET
ap-951	340	60	coset	coset	NOUN
ap-951	340	61	space	space	NOUN
ap-951	340	62	�	�	PROPN
ap-951	340	63	�	�	PROPN
ap-951	340	64	�	�	PROPN
ap-951	340	65	0	0	NUM
ap-951	340	66	,	,	PUNCT
ap-951	340	67	where	where	SCONJ
ap-951	340	68	the	the	DET
ap-951	340	69	subgroup	subgroup	PROPN
ap-951	340	70	�	�	PROPN
ap-951	340	71	0	0	PROPN
ap-951	340	72	preserves	preserve	VERB
ap-951	340	73	the	the	DET
ap-951	340	74	gauge	gauge	NOUN
ap-951	340	75	fixing	fix	VERB
ap-951	340	76	�	�	PROPN
ap-951	340	77	�	�	PROPN
ap-951	340	78	�	�	PROPN
ap-951	340	79	0	0	NUM
ap-951	340	80	0	0	NUM
ap-951	340	81	0	0	NUM
ap-951	340	82	�	�	PROPN
ap-951	340	83	�	�	PROPN
ap-951	340	84	f	f	PROPN
ap-951	340	85	f	f	PROPN
ap-951	340	86	a	a	DET
ap-951	340	87	f	f	X
ap-951	340	88	�	�	PROPN
ap-951	340	89	[	[	PUNCT
ap-951	340	90	,	,	PUNCT
ap-951	340	91	]	]	PUNCT
ap-951	340	92	.	.	PUNCT
ap-951	341	1	the	the	DET
ap-951	341	2	same	same	ADJ
ap-951	341	3	gauge	gauge	NOUN
ap-951	341	4	transformation	transformation	NOUN
ap-951	341	5	brings	bring	VERB
ap-951	341	6	the	the	DET
ap-951	341	7	higgs	higgs	NOUN
ap-951	341	8	field	field	NOUN
ap-951	341	9	to	to	ADP
ap-951	341	10	the	the	DET
ap-951	341	11	form	form	NOUN
ap-951	341	12	l	l	PROPN
ap-951	341	13	f	f	PROPN
ap-951	342	1	a	a	DET
ap-951	342	2	f	f	PROPN
ap-951	342	3	a	a	DET
ap-951	342	4	�	�	PROPN
ap-951	342	5	�	�	PROPN
ap-951	342	6	1	1	NUM
ap-951	342	7	[	[	PUNCT
ap-951	342	8	]	]	X
ap-951	342	9	[	[	X
ap-951	342	10	]	]	X
ap-951	342	11	.	.	PUNCT
ap-951	343	1	the	the	DET
ap-951	343	2	equations	equation	NOUN
ap-951	343	3	of	of	ADP
ap-951	343	4	motion	motion	NOUN
ap-951	343	5	for	for	ADP
ap-951	343	6	(	(	PUNCT
ap-951	343	7	4.11	4.11	NUM
ap-951	343	8	)	)	PUNCT
ap-951	343	9	in	in	ADP
ap-951	343	10	terms	term	NOUN
ap-951	343	11	of	of	ADP
ap-951	343	12	l	l	NOUN
ap-951	343	13	take	take	VERB
ap-951	343	14	the	the	DET
ap-951	343	15	form	form	NOUN
ap-951	343	16	of	of	ADP
ap-951	343	17	the	the	DET
ap-951	343	18	lax	lax	ADJ
ap-951	343	19	equation	equation	NOUN
ap-951	343	20	(	(	PUNCT
ap-951	343	21	4.21	4.21	NUM
ap-951	343	22	)	)	PUNCT
ap-951	343	23	where	where	SCONJ
ap-951	343	24	m	m	VERB
ap-951	343	25	f	f	PROPN
ap-951	343	26	a	a	X
ap-951	343	27	f	f	PROPN
ap-951	343	28	aj	aj	PROPN
ap-951	343	29	k	k	PROPN
ap-951	343	30	j	j	PROPN
ap-951	343	31	k	k	PROPN
ap-951	343	32	,	,	PUNCT
ap-951	343	33	,	,	PUNCT
ap-951	343	34	[	[	PUNCT
ap-951	343	35	]	]	X
ap-951	343	36	[	[	PUNCT
ap-951	343	37	]	]	X
ap-951	343	38	�	�	PROPN
ap-951	343	39	�	�	PROPN
ap-951	343	40	1	1	NUM
ap-951	343	41	�	�	PROPN
ap-951	343	42	.	.	PUNCT
ap-951	344	1	therefore	therefore	ADV
ap-951	344	2	,	,	PUNCT
ap-951	344	3	after	after	ADP
ap-951	344	4	reduction	reduction	NOUN
ap-951	344	5	the	the	DET
ap-951	344	6	higgs	higgs	NOUN
ap-951	344	7	field	field	NOUN
ap-951	344	8	becomes	become	VERB
ap-951	344	9	the	the	DET
ap-951	344	10	lax	lax	ADJ
ap-951	344	11	matrix	matrix	NOUN
ap-951	344	12	.	.	PUNCT
ap-951	345	1	equations	equation	NOUN
ap-951	345	2	(	(	PUNCT
ap-951	345	3	4.21	4.21	NUM
ap-951	345	4	)	)	PUNCT
ap-951	345	5	describes	describe	VERB
ap-951	345	6	the	the	DET
ap-951	345	7	hitchin	hitchin	PROPN
ap-951	345	8	integrable	integrable	ADJ
ap-951	345	9	hierarchy	hierarchy	NOUN
ap-951	345	10	.	.	PUNCT
ap-951	346	1	the	the	DET
ap-951	346	2	matrix	matrix	NOUN
ap-951	346	3	m	m	VERB
ap-951	346	4	j	j	PROPN
ap-951	346	5	k	k	PROPN
ap-951	346	6	,	,	PUNCT
ap-951	346	7	can	can	AUX
ap-951	346	8	be	be	AUX
ap-951	346	9	extracted	extract	VERB
ap-951	346	10	from	from	ADP
ap-951	346	11	the	the	DET
ap-951	346	12	second	second	ADJ
ap-951	346	13	equation	equation	NOUN
ap-951	346	14	(	(	PUNCT
ap-951	346	15	4.12	4.12	NUM
ap-951	346	16	)	)	PUNCT
ap-951	346	17	�	�	PROPN
ap-951	346	18	�	�	PROPN
ap-951	346	19	�	�	PROPN
ap-951	346	20	m	m	PROPN
ap-951	346	21	m	m	VERB
ap-951	346	22	a	a	PRON
ap-951	346	23	a	a	PRON
ap-951	346	24	lj	lj	PROPN
ap-951	347	1	k	k	PROPN
ap-951	348	1	j	j	PROPN
ap-951	349	1	k	k	PROPN
ap-951	349	2	j	j	PROPN
ap-951	350	1	k	k	PROPN
ap-951	350	2	j	j	PROPN
ap-951	350	3	j	j	PROPN
ap-951	350	4	k	k	PROPN
ap-951	350	5	,	,	PUNCT
ap-951	350	6	,	,	PUNCT
ap-951	350	7	,	,	PUNCT
ap-951	350	8	,	,	PUNCT
ap-951	350	9	[	[	PUNCT
ap-951	350	10	,	,	PUNCT
ap-951	350	11	]	]	PUNCT
ap-951	350	12	�	�	PROPN
ap-951	350	13	�	�	PROPN
ap-951	350	14	�	�	PROPN
ap-951	350	15	�	�	PROPN
ap-951	350	16	0	0	NUM
ap-951	350	17	0	0	NUM
ap-951	350	18	1	1	NUM
ap-951	350	19	.	.	PUNCT
ap-951	351	1	(	(	PUNCT
ap-951	351	2	4.22	4.22	NUM
ap-951	351	3	)	)	PUNCT
ap-951	351	4	the	the	DET
ap-951	351	5	gauss	gauss	PROPN
ap-951	351	6	law	law	NOUN
ap-951	351	7	restricted	restrict	VERB
ap-951	351	8	to	to	ADP
ap-951	351	9	�	�	PROPN
ap-951	351	10	red	red	PROPN
ap-951	351	11	takes	take	VERB
ap-951	351	12	the	the	DET
ap-951	351	13	form	form	NOUN
ap-951	351	14	�	�	PROPN
ap-951	351	15	�	�	PROPN
ap-951	351	16	l	l	PROPN
ap-951	351	17	a	a	DET
ap-951	351	18	l	l	NOUN
ap-951	351	19	x	x	X
ap-951	351	20	xa	xa	PROPN
ap-951	351	21	a	a	DET
ap-951	351	22	a	a	DET
ap-951	351	23	a	a	DET
ap-951	351	24	n	n	PRON
ap-951	351	25	�	�	PROPN
ap-951	351	26	�	�	PROPN
ap-951	351	27	�	�	PROPN
ap-951	351	28	[	[	PUNCT
ap-951	351	29	,	,	PUNCT
ap-951	351	30	]	]	X
ap-951	351	31	(	(	PUNCT
ap-951	351	32	,	,	PUNCT
ap-951	351	33	)	)	PUNCT
ap-951	351	34	0	0	NUM
ap-951	351	35	1	1	NUM
ap-951	351	36	s	s	PART
ap-951	351	37	(	(	PUNCT
ap-951	351	38	4.23	4.23	NUM
ap-951	351	39	)	)	PUNCT
ap-951	351	40	thus	thus	ADV
ap-951	351	41	,	,	PUNCT
ap-951	351	42	the	the	DET
ap-951	351	43	lax	lax	ADJ
ap-951	351	44	matrix	matrix	NOUN
ap-951	351	45	is	be	AUX
ap-951	351	46	the	the	DET
ap-951	351	47	matrix	matrix	NOUN
ap-951	351	48	green	green	ADJ
ap-951	351	49	function	function	NOUN
ap-951	351	50	of	of	ADP
ap-951	351	51	the	the	DET
ap-951	351	52	operator	operator	NOUN
ap-951	351	53	�	�	PROPN
ap-951	351	54	a0	a0	PROPN
ap-951	351	55	on	on	ADP
ap-951	351	56	�	�	PROPN
ap-951	351	57	g	g	PROPN
ap-951	351	58	n	n	CCONJ
ap-951	351	59	,	,	PUNCT
ap-951	351	60	acting	act	VERB
ap-951	351	61	in	in	ADP
ap-951	351	62	the	the	DET
ap-951	351	63	space	space	NOUN
ap-951	351	64	�	�	PROPN
ap-951	351	65	�	�	PROPN
ap-951	351	66	(	(	PUNCT
ap-951	351	67	,	,	PUNCT
ap-951	351	68	)	)	PUNCT
ap-951	351	69	,	,	PUNCT
ap-951	351	70	(	(	PUNCT
ap-951	351	71	,	,	PUNCT
ap-951	351	72	)	)	PUNCT
ap-951	352	1	1	1	NUM
ap-951	352	2	0	0	NUM
ap-951	352	3	g	g	PROPN
ap-951	352	4	n	n	PRON
ap-951	352	5	eend	eend	VERB
ap-951	352	6	.	.	PUNCT
ap-951	353	1	the	the	DET
ap-951	353	2	linear	linear	ADJ
ap-951	353	3	system	system	NOUN
ap-951	353	4	corresponding	correspond	VERB
ap-951	353	5	to	to	ADP
ap-951	353	6	the	the	DET
ap-951	353	7	integrable	integrable	ADJ
ap-951	353	8	hierarchy	hierarchy	NOUN
ap-951	353	9	takes	take	VERB
ap-951	353	10	the	the	DET
ap-951	353	11	following	follow	VERB
ap-951	353	12	form	form	NOUN
ap-951	353	13	.	.	PUNCT
ap-951	354	1	consider	consider	VERB
ap-951	354	2	a	a	DET
ap-951	354	3	section	section	NOUN
ap-951	354	4	�	�	PROPN
ap-951	354	5	of	of	ADP
ap-951	354	6	the	the	DET
ap-951	354	7	vector	vector	PROPN
ap-951	354	8	bundle	bundle	PROPN
ap-951	354	9	e.	e.	PROPN
ap-951	355	1	the	the	DET
ap-951	355	2	section	section	NOUN
ap-951	355	3	is	be	AUX
ap-951	355	4	called	call	VERB
ap-951	355	5	the	the	DET
ap-951	355	6	baiker	baiker	NOUN
ap-951	355	7	-	-	PUNCT
ap-951	355	8	akhiezer	akhiezer	NOUN
ap-951	355	9	function	function	NOUN
ap-951	355	10	if	if	SCONJ
ap-951	355	11	it	it	PRON
ap-951	355	12	is	be	AUX
ap-951	355	13	a	a	DET
ap-951	355	14	solution	solution	NOUN
ap-951	355	15	of	of	ADP
ap-951	355	16	the	the	DET
ap-951	355	17	linear	linear	ADJ
ap-951	355	18	system	system	NOUN
ap-951	355	19	for	for	ADP
ap-951	355	20	1	1	NUM
ap-951	355	21	0	0	NUM
ap-951	355	22	2	2	NUM
ap-951	355	23	0	0	NUM
ap-951	355	24	3	3	NUM
ap-951	355	25	0	0	NUM
ap-951	355	26	0	0	NUM
ap-951	355	27	.	.	PUNCT
ap-951	356	1	(	(	PUNCT
ap-951	356	2	)	)	PUNCT
ap-951	356	3	,	,	PUNCT
ap-951	356	4	.	.	PUNCT
ap-951	357	1	(	(	PUNCT
ap-951	357	2	)	)	PUNCT
ap-951	357	3	,	,	PUNCT
ap-951	357	4	.	.	PUNCT
ap-951	358	1	(	(	PUNCT
ap-951	358	2	)	)	PUNCT
ap-951	358	3	.	.	PUNCT
ap-951	358	4	,	,	PUNCT
ap-951	358	5	,	,	PUNCT
ap-951	358	6	�	�	PROPN
ap-951	358	7	�	�	PROPN
ap-951	358	8	�	�	PROPN
ap-951	358	9	�	�	PROPN
ap-951	358	10	�	�	PROPN
ap-951	358	11	�	�	PROPN
ap-951	358	12	�	�	PROPN
ap-951	358	13	�	�	PROPN
ap-951	358	14	�	�	PROPN
ap-951	358	15	�	�	PROPN
ap-951	358	16	�	�	PROPN
ap-951	358	17	�	�	PROPN
ap-951	358	18	%	%	NOUN
ap-951	358	19	�	�	PROPN
ap-951	358	20	%	%	NOUN
ap-951	358	21	a	a	DET
ap-951	358	22	l	l	NOUN
ap-951	359	1	mj	mj	NOUN
ap-951	360	1	k	k	PROPN
ap-951	360	2	j	j	PROPN
ap-951	360	3	k	k	PROPN
ap-951	360	4	the	the	DET
ap-951	360	5	first	first	ADJ
ap-951	360	6	equation	equation	NOUN
ap-951	360	7	means	mean	VERB
ap-951	360	8	that	that	SCONJ
ap-951	360	9	�	�	PROPN
ap-951	360	10	is	be	AUX
ap-951	360	11	a	a	DET
ap-951	360	12	holomorphic	holomorphic	ADJ
ap-951	360	13	section	section	NOUN
ap-951	360	14	.	.	PUNCT
ap-951	361	1	compatibility	compatibility	NOUN
ap-951	361	2	of	of	ADP
ap-951	361	3	the	the	DET
ap-951	361	4	first	first	ADJ
ap-951	361	5	equation	equation	NOUN
ap-951	361	6	and	and	CCONJ
ap-951	361	7	the	the	DET
ap-951	361	8	second	second	ADJ
ap-951	361	9	equation	equation	NOUN
ap-951	361	10	is	be	AUX
ap-951	361	11	the	the	DET
ap-951	361	12	gauss	gauss	ADJ
ap-951	361	13	law	law	PROPN
ap-951	361	14	(	(	PUNCT
ap-951	361	15	4.23	4.23	NUM
ap-951	361	16	)	)	PUNCT
ap-951	361	17	and	and	CCONJ
ap-951	361	18	the	the	DET
ap-951	361	19	first	first	ADJ
ap-951	361	20	equation	equation	NOUN
ap-951	361	21	and	and	CCONJ
ap-951	361	22	the	the	DET
ap-951	361	23	last	last	ADJ
ap-951	361	24	equation	equation	NOUN
ap-951	361	25	is	be	AUX
ap-951	361	26	the	the	DET
ap-951	361	27	lax	lax	ADJ
ap-951	361	28	equations	equation	NOUN
ap-951	361	29	(	(	PUNCT
ap-951	361	30	4.21	4.21	NUM
ap-951	361	31	)	)	PUNCT
ap-951	361	32	.	.	PUNCT
ap-951	362	1	in	in	ADP
ap-951	362	2	terms	term	NOUN
ap-951	362	3	of	of	ADP
ap-951	362	4	the	the	DET
ap-951	362	5	lax	lax	ADJ
ap-951	362	6	matrix	matrix	NOUN
ap-951	362	7	the	the	DET
ap-951	362	8	integrals	integral	NOUN
ap-951	362	9	of	of	ADP
ap-951	362	10	motion	motion	NOUN
ap-951	362	11	ij	ij	NOUN
ap-951	362	12	,	,	PUNCT
ap-951	362	13	k	k	PROPN
ap-951	362	14	are	be	AUX
ap-951	362	15	expressed	express	VERB
ap-951	362	16	by	by	ADP
ap-951	362	17	the	the	DET
ap-951	362	18	integrals	integral	NOUN
ap-951	362	19	(	(	PUNCT
ap-951	362	20	4.7	4.7	NUM
ap-951	362	21	)	)	PUNCT
ap-951	362	22	i	i	PRON
ap-951	362	23	j	j	X
ap-951	362	24	l	l	NOUN
ap-951	362	25	x	x	PROPN
ap-951	362	26	zjk	zjk	PROPN
ap-951	362	27	jk	jk	PROPN
ap-951	362	28	j	j	PROPN
ap-951	362	29	g	g	PROPN
ap-951	362	30	n	n	PROPN
ap-951	362	31	�	�	PROPN
ap-951	362	32	�	�	PROPN
ap-951	362	33	1	1	NUM
ap-951	362	34	�	�	NOUN
ap-951	362	35	tr	tr	VERB
ap-951	362	36	(	(	PUNCT
ap-951	362	37	(	(	PUNCT
ap-951	362	38	,	,	PUNCT
ap-951	362	39	)	)	PUNCT
ap-951	362	40	)	)	PUNCT
ap-951	362	41	,	,	PUNCT
ap-951	362	42	�	�	PROPN
ap-951	362	43	(	(	PUNCT
ap-951	362	44	4.24	4.24	NUM
ap-951	362	45	)	)	PUNCT
ap-951	362	46	or	or	CCONJ
ap-951	362	47	by	by	ADP
ap-951	362	48	the	the	DET
ap-951	362	49	expansion	expansion	NOUN
ap-951	362	50	(	(	PUNCT
ap-951	362	51	4.20	4.20	NUM
ap-951	363	1	)	)	PUNCT
ap-951	363	2	1	1	NUM
ap-951	363	3	1	1	NUM
ap-951	363	4	j	j	NOUN
ap-951	363	5	l	l	NOUN
ap-951	363	6	ij	ij	X
ap-951	363	7	jk	jk	PROPN
ap-951	363	8	jk	jk	PROPN
ap-951	363	9	k	k	PROPN
ap-951	364	1	n	n	PROPN
ap-951	364	2	j	j	PROPN
ap-951	364	3	�	�	PROPN
ap-951	364	4	�	�	PROPN
ap-951	364	5	�	�	PROPN
ap-951	364	6	�	�	PROPN
ap-951	364	7	.	.	PUNCT
ap-951	365	1	(	(	PUNCT
ap-951	365	2	4.25	4.25	NUM
ap-951	365	3	)	)	PUNCT
ap-951	365	4	the	the	DET
ap-951	365	5	moduli	moduli	NOUN
ap-951	365	6	space	space	NOUN
ap-951	365	7	of	of	ADP
ap-951	365	8	the	the	DET
ap-951	365	9	higgs	higgs	NOUN
ap-951	365	10	bundles	bundle	NOUN
ap-951	365	11	(	(	PUNCT
ap-951	365	12	4.17	4.17	NUM
ap-951	365	13	)	)	PUNCT
ap-951	365	14	is	be	AUX
ap-951	365	15	parameterized	parameterize	VERB
ap-951	365	16	by	by	ADP
ap-951	365	17	the	the	DET
ap-951	365	18	pairs	pair	NOUN
ap-951	365	19	(	(	PUNCT
ap-951	365	20	,	,	PUNCT
ap-951	365	21	)	)	PUNCT
ap-951	365	22	a0	a0	PROPN
ap-951	365	23	l	l	NOUN
ap-951	365	24	.	.	PUNCT
ap-951	366	1	the	the	DET
ap-951	366	2	projection	projection	NOUN
ap-951	366	3	(	(	PUNCT
ap-951	366	4	2.2	2.2	NUM
ap-951	366	5	)	)	PUNCT
ap-951	366	6	t	t	PROPN
ap-951	366	7	n	n	CCONJ
ap-951	366	8	g	g	PROPN
ap-951	366	9	n	n	PROPN
ap-951	366	10	b	b	PROPN
ap-951	366	11	h	h	NOUN
ap-951	367	1	d	d	NOUN
ap-951	367	2	kg	kg	PROPN
ap-951	368	1	n	n	PROPN
ap-951	368	2	d	d	X
ap-951	368	3	j	j	PROPN
ap-951	368	4	j	j	PROPN
ap-951	368	5	n	n	PROPN
ap-951	368	6	*	*	PUNCT
ap-951	368	7	,	,	PUNCT
ap-951	368	8	(	(	PUNCT
ap-951	368	9	,	,	PUNCT
ap-951	368	10	,	,	PUNCT
ap-951	368	11	)	)	PUNCT
ap-951	368	12	(	(	PUNCT
ap-951	368	13	\	\	PROPN
ap-951	368	14	,	,	PUNCT
ap-951	368	15	)	)	PUNCT
ap-951	368	16	�	�	PROPN
ap-951	368	17	�	�	PROPN
ap-951	368	18	�	�	PROPN
ap-951	368	19	�	�	PROPN
ap-951	368	20	�	�	PROPN
ap-951	368	21	0	0	NUM
ap-951	368	22	1	1	NUM
ap-951	368	23	�	�	PROPN
ap-951	368	24	is	be	AUX
ap-951	368	25	called	call	VERB
ap-951	368	26	the	the	DET
ap-951	368	27	hitchin	hitchin	PROPN
ap-951	368	28	fibration	fibration	NOUN
ap-951	368	29	.	.	PUNCT
ap-951	369	1	an	an	DET
ap-951	369	2	illustrative	illustrative	ADJ
ap-951	369	3	example	example	NOUN
ap-951	369	4	of	of	ADP
ap-951	369	5	the	the	DET
ap-951	369	6	hitchin	hitchin	PROPN
ap-951	369	7	construction	construction	NOUN
ap-951	369	8	is	be	AUX
ap-951	369	9	the	the	DET
ap-951	369	10	higgs	higgs	NOUN
ap-951	369	11	bundles	bundle	NOUN
ap-951	369	12	over	over	ADP
ap-951	369	13	elliptic	elliptic	ADJ
ap-951	369	14	curves	curve	NOUN
ap-951	369	15	.	.	PUNCT
ap-951	370	1	these	these	DET
ap-951	370	2	cases	case	NOUN
ap-951	370	3	will	will	AUX
ap-951	370	4	be	be	AUX
ap-951	370	5	described	describe	VERB
ap-951	370	6	explicitly	explicitly	ADV
ap-951	370	7	in	in	ADP
ap-951	370	8	following	follow	VERB
ap-951	370	9	subsections	subsection	NOUN
ap-951	370	10	.	.	PUNCT
ap-951	371	1	4.2	4.2	NUM
ap-951	371	2	n	n	CCONJ
ap-951	371	3	-	-	PUNCT
ap-951	371	4	body	body	NOUN
ap-951	371	5	elliptic	elliptic	ADJ
ap-951	371	6	calogero	calogero	PROPN
ap-951	371	7	-	-	PUNCT
ap-951	371	8	moser	moser	PROPN
ap-951	371	9	system	system	NOUN
ap-951	371	10	(	(	PUNCT
ap-951	371	11	ecms	ecms	NOUN
ap-951	371	12	)	)	PUNCT
ap-951	371	13	4.2.1	4.2.1	NUM
ap-951	371	14	description	description	NOUN
ap-951	371	15	of	of	ADP
ap-951	371	16	the	the	DET
ap-951	371	17	system	system	NOUN
ap-951	371	18	let	let	VERB
ap-951	371	19	c	c	PART
ap-951	371	20	�	�	PROPN
ap-951	371	21	be	be	AUX
ap-951	371	22	an	an	DET
ap-951	371	23	elliptic	elliptic	ADJ
ap-951	371	24	curve	curve	NOUN
ap-951	371	25	�	�	PROPN
ap-951	371	26	�	�	PROPN
ap-951	371	27	�	�	PROPN
ap-951	371	28	(	(	PUNCT
ap-951	371	29	)	)	PUNCT
ap-951	371	30	�	�	PROPN
ap-951	371	31	,	,	PUNCT
ap-951	371	32	i	i	PRON
ap-951	371	33	m	m	VERB
ap-951	371	34	�	�	PROPN
ap-951	371	35	�	�	PROPN
ap-951	371	36	0	0	NUM
ap-951	371	37	.	.	PUNCT
ap-951	372	1	the	the	DET
ap-951	372	2	phase	phase	NOUN
ap-951	372	3	space	space	NOUN
ap-951	372	4	�	�	NOUN
ap-951	372	5	ecm	ecm	NOUN
ap-951	372	6	of	of	ADP
ap-951	372	7	ecms	ecms	PROPN
ap-951	372	8	is	be	AUX
ap-951	372	9	described	describe	VERB
ap-951	372	10	by	by	ADP
ap-951	372	11	n	n	CCONJ
ap-951	372	12	complex	complex	ADJ
ap-951	372	13	coordinates	coordinate	NOUN
ap-951	372	14	and	and	CCONJ
ap-951	372	15	their	their	PRON
ap-951	372	16	momenta	momenta	NOUN
ap-951	372	17	u	u	PROPN
ap-951	372	18	v	v	PROPN
ap-951	372	19	�	�	PROPN
ap-951	372	20	�	�	PROPN
ap-951	372	21	�	�	PROPN
ap-951	372	22	�	�	PROPN
ap-951	372	23	(	(	PUNCT
ap-951	372	24	,	,	PUNCT
ap-951	372	25	,	,	PUNCT
ap-951	372	26	)	)	PUNCT
ap-951	372	27	(	(	PUNCT
ap-951	372	28	)	)	PUNCT
ap-951	372	29	(	(	PUNCT
ap-951	372	30	u	u	NOUN
ap-951	372	31	u	u	X
ap-951	372	32	u	u	NOUN
ap-951	372	33	c	c	PROPN
ap-951	372	34	v	v	NOUN
ap-951	372	35	n	n	CCONJ
ap-951	372	36	j1	j1	PROPN
ap-951	372	37	�	�	PROPN
ap-951	372	38	�	�	PROPN
ap-951	372	39	coordinates	coordinate	NOUN
ap-951	372	40	of	of	ADP
ap-951	372	41	particles	particle	NOUN
ap-951	372	42	,	,	PUNCT
ap-951	372	43	1	1	NUM
ap-951	372	44	,	,	PUNCT
ap-951	372	45	,	,	PUNCT
ap-951	372	46	)	)	PUNCT
ap-951	372	47	(	(	PUNCT
ap-951	372	48	)	)	PUNCT
ap-951	372	49	�	�	PROPN
ap-951	372	50	v	v	PROPN
ap-951	372	51	un	un	PROPN
ap-951	372	52	j	j	PROPN
ap-951	372	53	�	�	PROPN
ap-951	372	54	�	�	PROPN
ap-951	372	55	�	�	PROPN
ap-951	372	56	�	�	PROPN
ap-951	372	57	�	�	PROPN
ap-951	372	58	�	�	PROPN
ap-951	372	59	momentum	momentum	NOUN
ap-951	372	60	vector	vector	NOUN
ap-951	372	61	with	with	ADP
ap-951	372	62	the	the	DET
ap-951	372	63	poisson	poisson	NOUN
ap-951	372	64	brackets	bracket	NOUN
ap-951	372	65	{	{	PUNCT
ap-951	372	66	,	,	PUNCT
ap-951	372	67	}	}	PUNCT
ap-951	372	68	v	v	NOUN
ap-951	372	69	uj	uj	PROPN
ap-951	372	70	k	k	PROPN
ap-951	372	71	jk	jk	PROPN
ap-951	372	72	�	�	PROPN
ap-951	372	73	�	�	PROPN
ap-951	372	74	.	.	PUNCT
ap-951	373	1	the	the	DET
ap-951	373	2	hamiltonian	hamiltonian	NOUN
ap-951	373	3	takes	take	VERB
ap-951	373	4	the	the	DET
ap-951	373	5	form	form	NOUN
ap-951	373	6	h	h	NOUN
ap-951	373	7	u	u	NOUN
ap-951	373	8	ucm	ucm	PROPN
ap-951	373	9	j	j	PROPN
ap-951	373	10	k	k	PROPN
ap-951	373	11	j	j	PROPN
ap-951	373	12	k	k	PROPN
ap-951	373	13	�	�	PROPN
ap-951	373	14	&	&	CCONJ
ap-951	373	15	�	�	PROPN
ap-951	373	16	'	'	PART
ap-951	373	17	�	�	PROPN
ap-951	373	18	1	1	NUM
ap-951	373	19	2	2	NUM
ap-951	373	20	2	2	NUM
ap-951	373	21	2v	2v	NUM
ap-951	373	22	(	(	PUNCT
ap-951	373	23	)	)	PUNCT
ap-951	373	24	.	.	PUNCT
ap-951	374	1	(	(	PUNCT
ap-951	374	2	4.26	4.26	NUM
ap-951	374	3	)	)	PUNCT
ap-951	374	4	here	here	ADV
ap-951	374	5	2	2	NUM
ap-951	374	6	is	be	AUX
ap-951	374	7	a	a	DET
ap-951	374	8	coupling	coupling	NOUN
ap-951	374	9	constant	constant	ADJ
ap-951	374	10	and	and	CCONJ
ap-951	374	11	&	&	CCONJ
ap-951	374	12	(	(	PUNCT
ap-951	374	13	)	)	PUNCT
ap-951	374	14	z	z	PROPN
ap-951	374	15	–	–	PUNCT
ap-951	374	16	is	be	AUX
ap-951	374	17	the	the	DET
ap-951	374	18	weierschtrass	weierschtrass	PROPN
ap-951	374	19	function	function	NOUN
ap-951	374	20	.	.	PUNCT
ap-951	375	1	it	it	PRON
ap-951	375	2	is	be	AUX
ap-951	375	3	a	a	DET
ap-951	375	4	double	double	ADJ
ap-951	375	5	periodic	periodic	ADJ
ap-951	375	6	meromorphic	meromorphic	ADJ
ap-951	375	7	function	function	NOUN
ap-951	375	8	&	&	CCONJ
ap-951	375	9	�	�	PROPN
ap-951	375	10	&	&	CCONJ
ap-951	375	11	&	&	CCONJ
ap-951	375	12	(	(	PUNCT
ap-951	375	13	)	)	PUNCT
ap-951	375	14	(	(	PUNCT
ap-951	375	15	)	)	PUNCT
ap-951	375	16	(	(	PUNCT
ap-951	375	17	)	)	PUNCT
ap-951	375	18	z	z	NOUN
ap-951	375	19	z	z	NOUN
ap-951	375	20	z1	z1	VERB
ap-951	375	21	�	�	PROPN
ap-951	375	22	with	with	ADP
ap-951	375	23	a	a	DET
ap-951	375	24	second	second	ADJ
ap-951	375	25	order	order	NOUN
ap-951	375	26	pole	pole	NOUN
ap-951	375	27	&	&	CCONJ
ap-951	375	28	�	�	PROPN
ap-951	375	29	(	(	PUNCT
ap-951	375	30	)	)	PUNCT
ap-951	375	31	~z	~z	PUNCT
ap-951	375	32	z	z	NOUN
ap-951	375	33	2	2	NUM
ap-951	375	34	,	,	PUNCT
ap-951	375	35	z	z	PROPN
ap-951	375	36	�	�	PROPN
ap-951	375	37	0	0	NUM
ap-951	375	38	.	.	PUNCT
ap-951	376	1	the	the	DET
ap-951	376	2	system	system	NOUN
ap-951	376	3	has	have	VERB
ap-951	376	4	the	the	DET
ap-951	376	5	lax	lax	ADJ
ap-951	376	6	representation	representation	NOUN
ap-951	376	7	[	[	X
ap-951	376	8	39	39	NUM
ap-951	376	9	]	]	PUNCT
ap-951	376	10	with	with	ADP
ap-951	376	11	the	the	DET
ap-951	376	12	lax	lax	ADJ
ap-951	376	13	matrix	matrix	NOUN
ap-951	376	14	l	l	NOUN
ap-951	376	15	iv	iv	NUM
ap-951	376	16	xcm	xcm	PROPN
ap-951	376	17	�	�	PROPN
ap-951	376	18	,	,	PUNCT
ap-951	376	19	v	v	NOUN
ap-951	376	20	v	v	ADP
ap-951	376	21	vn	vn	PROPN
ap-951	376	22	�	�	PROPN
ap-951	376	23	diag	diag	NOUN
ap-951	376	24	(	(	PUNCT
ap-951	376	25	,	,	PUNCT
ap-951	376	26	,	,	PUNCT
ap-951	376	27	)	)	PUNCT
ap-951	376	28	1	1	NUM
ap-951	376	29	�	�	PROPN
ap-951	376	30	,	,	PUNCT
ap-951	376	31	(	(	PUNCT
ap-951	376	32	4.27	4.27	NUM
ap-951	376	33	)	)	PUNCT
ap-951	376	34	x	x	X
ap-951	377	1	z	z	NOUN
ap-951	377	2	z	z	PUNCT
ap-951	377	3	u	u	NOUN
ap-951	377	4	u	u	NOUN
ap-951	377	5	u	u	NOUN
ap-951	377	6	u	u	NOUN
ap-951	377	7	z	z	NOUN
ap-951	377	8	x	x	PROPN
ap-951	377	9	ix	ix	PROPN
ap-951	377	10	jk	jk	PROPN
ap-951	377	11	j	j	PROPN
ap-951	378	1	k	k	PROPN
ap-951	378	2	j	j	PROPN
ap-951	378	3	k	k	PROPN
ap-951	378	4	�	�	PROPN
ap-951	378	5	�	�	PROPN
ap-951	378	6	�	�	PROPN
ap-951	378	7	�	�	PROPN
ap-951	378	8	�	�	PROPN
ap-951	378	9	�	�	PROPN
ap-951	378	10	�	�	PROPN
ap-951	378	11	�	�	PROPN
ap-951	378	12	�	�	PROPN
ap-951	378	13	�	�	PROPN
ap-951	378	14	�	�	PROPN
ap-951	378	15	�	�	PROPN
ap-951	378	16	�	�	PROPN
ap-951	378	17	�	�	PROPN
ap-951	378	18	�	�	PROPN
ap-951	378	19	�	�	PROPN
ap-951	378	20	e	e	PROPN
ap-951	378	21	e	e	X
ap-951	378	22	(	(	PUNCT
ap-951	378	23	)	)	PUNCT
ap-951	378	24	(	(	PUNCT
ap-951	378	25	,	,	PUNCT
ap-951	378	26	)	)	PUNCT
ap-951	378	27	,	,	PUNCT
ap-951	378	28	(	(	PUNCT
ap-951	378	29	)	)	PUNCT
ap-951	378	30	exp2	exp2	NOUN
ap-951	378	31	(	(	PUNCT
ap-951	378	32	4.28	4.28	NUM
ap-951	378	33	)	)	PUNCT
ap-951	378	34	where	where	SCONJ
ap-951	378	35	�	�	PROPN
ap-951	378	36	�	�	PROPN
ap-951	378	37	�	�	PROPN
ap-951	378	38	�	�	PROPN
ap-951	378	39	�	�	PROPN
ap-951	378	40	(	(	PUNCT
ap-951	378	41	,	,	PUNCT
ap-951	378	42	)	)	PUNCT
ap-951	378	43	(	(	PUNCT
ap-951	378	44	)	)	PUNCT
ap-951	378	45	(	(	PUNCT
ap-951	378	46	)	)	PUNCT
ap-951	378	47	(	(	PUNCT
ap-951	378	48	)	)	PUNCT
ap-951	378	49	(	(	PUNCT
ap-951	378	50	)	)	PUNCT
ap-951	378	51	u	u	NOUN
ap-951	378	52	z	z	PROPN
ap-951	378	53	u	u	PROPN
ap-951	378	54	z	z	PROPN
ap-951	378	55	u	u	PROPN
ap-951	378	56	z	z	PROPN
ap-951	378	57	�	�	PROPN
ap-951	378	58	�	�	PROPN
ap-951	378	59	0	0	NUM
ap-951	378	60	,	,	PUNCT
ap-951	378	61	(	(	PUNCT
ap-951	378	62	4.29	4.29	NUM
ap-951	378	63	)	)	PUNCT
ap-951	378	64	and	and	CCONJ
ap-951	378	65	�	�	PROPN
ap-951	378	66	�	�	PROPN
ap-951	378	67	�	�	PROPN
ap-951	378	68	�	�	PROPN
ap-951	378	69	(	(	PUNCT
ap-951	378	70	)	)	PUNCT
ap-951	378	71	(	(	PUNCT
ap-951	378	72	)	)	PUNCT
ap-951	378	73	exp	exp	NOUN
ap-951	378	74	(	(	PUNCT
ap-951	378	75	)	)	PUNCT
ap-951	378	76	,	,	PUNCT
ap-951	378	77	exp	exp	NOUN
ap-951	378	78	z	z	PROPN
ap-951	378	79	q	q	PROPN
ap-951	378	80	n	n	PROPN
ap-951	378	81	n	n	ADV
ap-951	378	82	nz	nz	NOUN
ap-951	378	83	q	q	NOUN
ap-951	379	1	i	i	PROPN
ap-951	379	2	n	n	CCONJ
ap-951	379	3	n	n	CCONJ
ap-951	379	4	�	�	PROPN
ap-951	379	5	�	�	PROPN
ap-951	379	6	�	�	PROPN
ap-951	379	7	�	�	PROPN
ap-951	379	8	�	�	PROPN
ap-951	379	9	�	�	PROPN
ap-951	379	10	�	�	PROPN
ap-951	379	11	�	�	PROPN
ap-951	379	12	�	�	PROPN
ap-951	379	13	�	�	PROPN
ap-951	379	14	�	�	PROPN
ap-951	379	15	1	1	NUM
ap-951	379	16	8	8	NUM
ap-951	379	17	1	1	NUM
ap-951	379	18	2	2	NUM
ap-951	379	19	1	1	NUM
ap-951	379	20	2	2	NUM
ap-951	379	21	1	1	NUM
ap-951	379	22	2	2	NUM
ap-951	379	23	z	z	PROPN
ap-951	379	24	�	�	PROPN
ap-951	379	25	(	(	PUNCT
ap-951	379	26	4.30	4.30	NUM
ap-951	379	27	)	)	PUNCT
ap-951	379	28	is	be	AUX
ap-951	379	29	the	the	DET
ap-951	379	30	standard	standard	ADJ
ap-951	379	31	theta	theta	NOUN
ap-951	379	32	-	-	PUNCT
ap-951	379	33	function	function	NOUN
ap-951	379	34	with	with	ADP
ap-951	379	35	a	a	DET
ap-951	379	36	simple	simple	ADJ
ap-951	379	37	zero	zero	NUM
ap-951	379	38	at	at	ADP
ap-951	379	39	z	z	PROPN
ap-951	379	40	�	�	PROPN
ap-951	379	41	0	0	NUM
ap-951	379	42	and	and	CCONJ
ap-951	379	43	the	the	DET
ap-951	379	44	monodromies	monodromie	NOUN
ap-951	379	45	�	�	PROPN
ap-951	379	46	�	�	PROPN
ap-951	379	47	(	(	PUNCT
ap-951	379	48	)	)	PUNCT
ap-951	379	49	(	(	PUNCT
ap-951	379	50	)	)	PUNCT
ap-951	379	51	z	z	NOUN
ap-951	379	52	z	z	PROPN
ap-951	379	53	�	�	PROPN
ap-951	379	54	�	�	PROPN
ap-951	379	55	1	1	NUM
ap-951	379	56	,	,	PUNCT
ap-951	379	57	�	�	PROPN
ap-951	379	58	�	�	PROPN
ap-951	379	59	�	�	PROPN
ap-951	379	60	�	�	PROPN
ap-951	379	61	(	(	PUNCT
ap-951	379	62	)	)	PUNCT
ap-951	379	63	(	(	PUNCT
ap-951	379	64	)	)	PUNCT
ap-951	379	65	z	z	NOUN
ap-951	379	66	q	q	X
ap-951	380	1	e	e	X
ap-951	380	2	ziz	ziz	PROPN
ap-951	380	3	�	�	PROPN
ap-951	380	4	�	�	PROPN
ap-951	380	5	�	�	PROPN
ap-951	380	6	�	�	PROPN
ap-951	380	7	1	1	NUM
ap-951	380	8	2	2	NUM
ap-951	380	9	2	2	NUM
ap-951	380	10	.	.	PUNCT
ap-951	381	1	(	(	PUNCT
ap-951	381	2	4.31	4.31	NUM
ap-951	381	3	)	)	PUNCT
ap-951	381	4	then	then	ADV
ap-951	381	5	from	from	ADP
ap-951	381	6	(	(	PUNCT
ap-951	381	7	4.31	4.31	NUM
ap-951	381	8	)	)	PUNCT
ap-951	381	9	that	that	PRON
ap-951	381	10	�	�	PROPN
ap-951	381	11	�	�	PROPN
ap-951	381	12	(	(	PUNCT
ap-951	381	13	,	,	PUNCT
ap-951	381	14	)	)	PUNCT
ap-951	381	15	(	(	PUNCT
ap-951	381	16	,	,	PUNCT
ap-951	381	17	)	)	PUNCT
ap-951	381	18	u	u	PROPN
ap-951	381	19	z	z	PROPN
ap-951	381	20	u	u	PROPN
ap-951	381	21	z	z	PROPN
ap-951	381	22	�	�	PROPN
ap-951	381	23	1	1	NUM
ap-951	381	24	,	,	PUNCT
ap-951	381	25	�	�	PROPN
ap-951	381	26	�	�	PROPN
ap-951	381	27	�	�	PROPN
ap-951	381	28	(	(	PUNCT
ap-951	381	29	,	,	PUNCT
ap-951	381	30	)	)	PUNCT
ap-951	381	31	(	(	PUNCT
ap-951	381	32	)	)	PUNCT
ap-951	381	33	(	(	PUNCT
ap-951	381	34	,	,	PUNCT
ap-951	381	35	)	)	PUNCT
ap-951	381	36	u	u	NOUN
ap-951	381	37	z	z	PROPN
ap-951	381	38	u	u	PROPN
ap-951	381	39	u	u	PROPN
ap-951	381	40	z	z	PROPN
ap-951	381	41	�	�	PROPN
ap-951	381	42	�	�	PROPN
ap-951	381	43	e	e	PROPN
ap-951	381	44	,	,	PUNCT
ap-951	381	45	(	(	PUNCT
ap-951	381	46	4.32	4.32	NUM
ap-951	381	47	)	)	PUNCT
ap-951	381	48	and	and	CCONJ
ap-951	381	49	�	�	PROPN
ap-951	381	50	(	(	PUNCT
ap-951	381	51	,	,	PUNCT
ap-951	381	52	)	)	PUNCT
ap-951	381	53	u	u	NOUN
ap-951	381	54	z	z	PROPN
ap-951	381	55	has	have	VERB
ap-951	381	56	a	a	DET
ap-951	381	57	simple	simple	ADJ
ap-951	381	58	pole	pole	NOUN
ap-951	381	59	at	at	ADP
ap-951	381	60	z	z	PROPN
ap-951	381	61	�	�	PROPN
ap-951	381	62	0	0	NUM
ap-951	381	63	res	re	NOUN
ap-951	381	64	u	u	PROPN
ap-951	381	65	z	z	PROPN
ap-951	381	66	z	z	PROPN
ap-951	381	67	�	�	PROPN
ap-951	381	68	(	(	PUNCT
ap-951	381	69	,	,	PUNCT
ap-951	381	70	)	)	PUNCT
ap-951	381	71	�	�	PROPN
ap-951	381	72	�	�	PROPN
ap-951	381	73	0	0	NUM
ap-951	381	74	1	1	NUM
ap-951	381	75	(	(	PUNCT
ap-951	381	76	4.33	4.33	NUM
ap-951	381	77	)	)	PUNCT
ap-951	381	78	12	12	NUM
ap-951	381	79	©	©	PROPN
ap-951	381	80	czech	czech	PROPN
ap-951	381	81	technical	technical	PROPN
ap-951	381	82	university	university	PROPN
ap-951	381	83	publishing	publishing	NOUN
ap-951	381	84	house	house	NOUN
ap-951	381	85	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-951	381	86	acta	acta	PROPN
ap-951	381	87	polytechnica	polytechnica	PROPN
ap-951	381	88	vol	vol	NOUN
ap-951	381	89	.	.	PUNCT
ap-951	382	1	48	48	NUM
ap-951	382	2	no	no	NOUN
ap-951	382	3	.	.	PUNCT
ap-951	383	1	2/2008	2/2008	PROPN
ap-951	383	2	�	�	PROPN
ap-951	383	3	j	j	PROPN
ap-951	383	4	k	k	PROPN
ap-951	383	5	j	j	PROPN
ap-951	383	6	kl	kl	PROPN
ap-951	383	7	l	l	PROPN
ap-951	383	8	m	m	PROPN
ap-951	383	9	,	,	PUNCT
ap-951	383	10	,	,	PUNCT
ap-951	383	11	[	[	PUNCT
ap-951	383	12	,	,	PUNCT
ap-951	383	13	]	]	PUNCT
ap-951	383	14	�	�	PROPN
ap-951	383	15	fig	fig	NOUN
ap-951	383	16	.	.	PUNCT
ap-951	384	1	2	2	NUM
ap-951	384	2	4.2.2	4.2.2	NUM
ap-951	384	3	ecms	ecms	NOUN
ap-951	384	4	and	and	CCONJ
ap-951	384	5	higgs	higgs	NOUN
ap-951	384	6	bundles	bundle	NOUN
ap-951	384	7	[	[	X
ap-951	384	8	6	6	NUM
ap-951	384	9	,	,	PUNCT
ap-951	384	10	7	7	NUM
ap-951	384	11	]	]	PUNCT
ap-951	384	12	to	to	PART
ap-951	384	13	describe	describe	VERB
ap-951	384	14	ecms	ecms	NOUN
ap-951	384	15	as	as	ADP
ap-951	384	16	a	a	DET
ap-951	384	17	hitchin	hitchin	NOUN
ap-951	384	18	system	system	NOUN
ap-951	384	19	consider	consider	VERB
ap-951	384	20	a	a	DET
ap-951	384	21	vector	vector	NOUN
ap-951	384	22	bundle	bundle	NOUN
ap-951	384	23	e	e	PROPN
ap-951	384	24	of	of	ADP
ap-951	384	25	rank	rank	PROPN
ap-951	384	26	n	n	PROPN
ap-951	384	27	and	and	CCONJ
ap-951	384	28	degree	degree	NOUN
ap-951	384	29	0	0	NUM
ap-951	384	30	over	over	ADP
ap-951	384	31	an	an	DET
ap-951	384	32	elliptic	elliptic	ADJ
ap-951	384	33	curve	curve	NOUN
ap-951	384	34	�	�	NOUN
ap-951	384	35	1,1	1,1	NUM
ap-951	384	36	with	with	ADP
ap-951	384	37	one	one	NUM
ap-951	384	38	marked	mark	VERB
ap-951	384	39	point	point	NOUN
ap-951	384	40	.	.	PUNCT
ap-951	385	1	we	we	PRON
ap-951	385	2	assume	assume	VERB
ap-951	385	3	that	that	SCONJ
ap-951	385	4	the	the	DET
ap-951	385	5	curve	curve	NOUN
ap-951	385	6	is	be	AUX
ap-951	385	7	isomorphic	isomorphic	ADJ
ap-951	385	8	to	to	ADP
ap-951	385	9	c	c	VERB
ap-951	385	10	�	�	PROPN
ap-951	385	11	�	�	PROPN
ap-951	385	12	�	�	PROPN
ap-951	385	13	�	�	PROPN
ap-951	385	14	�	�	PROPN
ap-951	385	15	�	�	PROPN
ap-951	385	16	(	(	PUNCT
ap-951	385	17	)	)	PUNCT
ap-951	385	18	.	.	PUNCT
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ap-951	386	2	quasi	quasi	ADJ
ap-951	386	3	-	-	ADJ
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ap-951	386	6	bundle	bundle	PROPN
ap-951	386	7	t	t	PROPN
ap-951	386	8	e	e	X
ap-951	386	9	*	*	PROPN
ap-951	386	10	has	have	AUX
ap-951	386	11	coordinates	coordinate	NOUN
ap-951	386	12	�	�	PROPN
ap-951	386	13	�	�	PROPN
ap-951	386	14	�	�	PROPN
ap-951	386	15	0	0	NUM
ap-951	386	16	�	�	PROPN
ap-951	386	17	(	(	PUNCT
ap-951	386	18	,	,	PUNCT
ap-951	386	19	)	)	PUNCT
ap-951	386	20	,	,	PUNCT
ap-951	386	21	(	(	PUNCT
ap-951	386	22	,	,	PUNCT
ap-951	386	23	)	)	PUNCT
ap-951	386	24	,	,	PUNCT
ap-951	387	1	z	z	NOUN
ap-951	387	2	z	z	NOUN
ap-951	387	3	a	a	DET
ap-951	387	4	z	z	NOUN
ap-951	387	5	z	z	NOUN
ap-951	387	6	s	s	NOUN
ap-951	387	7	,	,	PUNCT
ap-951	387	8	,	,	PUNCT
ap-951	387	9	(	(	PUNCT
ap-951	387	10	,	,	PUNCT
ap-951	387	11	)	)	PUNCT
ap-951	387	12	a	a	DET
ap-951	387	13	n	n	X
ap-951	387	14	�	�	PROPN
ap-951	387	15	gl	gl	PROPN
ap-951	387	16	�	�	PROPN
ap-951	387	17	,	,	PUNCT
ap-951	387	18	s	s	PROPN
ap-951	387	19	�	�	PROPN
ap-951	387	20	,	,	PUNCT
ap-951	387	21	where	where	SCONJ
ap-951	387	22	is	be	AUX
ap-951	387	23	a	a	DET
ap-951	387	24	degenerate	degenerate	ADJ
ap-951	387	25	orbit	orbit	NOUN
ap-951	387	26	at	at	ADP
ap-951	387	27	the	the	DET
ap-951	387	28	marked	marked	ADJ
ap-951	387	29	point	point	NOUN
ap-951	387	30	z	z	PROPN
ap-951	387	31	�	�	PROPN
ap-951	387	32	0	0	NUM
ap-951	387	33	�	�	PROPN
ap-951	387	34	�	�	PROPN
ap-951	387	35	�	�	PROPN
ap-951	387	36	�	�	PROPN
ap-951	387	37	�	�	PROPN
ap-951	387	38	�	�	PROPN
ap-951	387	39	�	�	PROPN
ap-951	387	40	s	s	PART
ap-951	387	41	g	g	NOUN
ap-951	387	42	s	s	PROPN
ap-951	387	43	g	g	NOUN
ap-951	387	44	g	g	PROPN
ap-951	387	45	n	n	PROPN
ap-951	387	46	s	s	PROPN
ap-951	387	47	j1	j1	PROPN
ap-951	387	48	0	0	NUM
ap-951	387	49	0gl	0gl	NOUN
ap-951	387	50	(	(	PUNCT
ap-951	387	51	,	,	PUNCT
ap-951	387	52	)	)	PUNCT
ap-951	387	53	,	,	PUNCT
ap-951	387	54	�	�	PROPN
ap-951	387	55	,	,	PUNCT
ap-951	387	56	and	and	CCONJ
ap-951	387	57	j	j	PROPN
ap-951	387	58	is	be	AUX
ap-951	387	59	the	the	DET
ap-951	387	60	matrix	matrix	NOUN
ap-951	387	61	(	(	PUNCT
ap-951	387	62	3.17	3.17	NUM
ap-951	387	63	)	)	PUNCT
ap-951	387	64	.	.	PUNCT
ap-951	388	1	the	the	DET
ap-951	388	2	orbit	orbit	NOUN
ap-951	388	3	has	have	VERB
ap-951	388	4	dimension	dimension	NOUN
ap-951	388	5	dim	dim	NOUN
ap-951	388	6	(	(	PUNCT
ap-951	388	7	)	)	PUNCT
ap-951	388	8	�	�	PROPN
ap-951	388	9	�	�	PROPN
ap-951	388	10	2	2	NUM
ap-951	388	11	2n	2n	NUM
ap-951	388	12	.	.	PUNCT
ap-951	389	1	for	for	ADP
ap-951	389	2	degree	degree	NOUN
ap-951	389	3	zero	zero	NUM
ap-951	389	4	bundles	bundle	NOUN
ap-951	389	5	the	the	DET
ap-951	389	6	monodromies	monodromie	NOUN
ap-951	389	7	around	around	ADP
ap-951	389	8	the	the	DET
ap-951	389	9	two	two	NUM
ap-951	389	10	fundamental	fundamental	ADJ
ap-951	389	11	cycles	cycle	NOUN
ap-951	389	12	can	can	AUX
ap-951	389	13	be	be	AUX
ap-951	389	14	chosen	choose	VERB
ap-951	389	15	as	as	ADP
ap-951	389	16	q	q	PROPN
ap-951	389	17	id1	id1	PROPN
ap-951	389	18	�	�	PROPN
ap-951	389	19	and	and	CCONJ
ap-951	389	20	�	�	PROPN
ap-951	389	21	1	1	NUM
ap-951	389	22	�	�	PROPN
ap-951	389	23	e	e	X
ap-951	389	24	u	u	NOUN
ap-951	389	25	(	(	PUNCT
ap-951	389	26	)	)	PUNCT
ap-951	389	27	,	,	PUNCT
ap-951	389	28	where	where	SCONJ
ap-951	389	29	e	e	X
ap-951	389	30	u	u	NOUN
ap-951	389	31	(	(	PUNCT
ap-951	389	32	)	)	PUNCT
ap-951	389	33	(	(	PUNCT
ap-951	389	34	(	(	PUNCT
ap-951	389	35	exp	exp	NOUN
ap-951	389	36	,	,	PUNCT
ap-951	389	37	,	,	PUNCT
ap-951	389	38	exp	exp	NOUN
ap-951	389	39	)	)	PUNCT
ap-951	389	40	�	�	PROPN
ap-951	389	41	diag	diag	PROPN
ap-951	389	42	iu	iu	ADP
ap-951	389	43	iun2	iun2	PROPN
ap-951	389	44	21	21	NUM
ap-951	389	45	�	�	PROPN
ap-951	389	46	�	�	PROPN
ap-951	389	47	�	�	PROPN
ap-951	389	48	.	.	PUNCT
ap-951	390	1	a	a	DET
ap-951	390	2	section	section	NOUN
ap-951	390	3	with	with	ADP
ap-951	390	4	these	these	DET
ap-951	390	5	monodromies	monodromie	NOUN
ap-951	390	6	is	be	AUX
ap-951	390	7	s	s	PROPN
ap-951	390	8	s	s	PROPN
ap-951	390	9	st	st	PROPN
ap-951	390	10	n	n	CCONJ
ap-951	390	11	�	�	PROPN
ap-951	390	12	(	(	PUNCT
ap-951	390	13	,	,	PUNCT
ap-951	390	14	,	,	PUNCT
ap-951	390	15	)	)	PUNCT
ap-951	390	16	1	1	NUM
ap-951	390	17	�	�	PROPN
ap-951	390	18	,	,	PUNCT
ap-951	390	19	s	s	VERB
ap-951	390	20	u	u	PROPN
ap-951	390	21	zj	zj	PROPN
ap-951	390	22	j	j	PROPN
ap-951	390	23	�	�	PROPN
ap-951	390	24	�	�	PROPN
ap-951	390	25	(	(	PUNCT
ap-951	390	26	,	,	PUNCT
ap-951	390	27	)	)	PUNCT
ap-951	390	28	.	.	PUNCT
ap-951	391	1	(	(	PUNCT
ap-951	391	2	4.34	4.34	NUM
ap-951	391	3	)	)	PUNCT
ap-951	391	4	where	where	SCONJ
ap-951	391	5	�	�	PROPN
ap-951	391	6	(	(	PUNCT
ap-951	391	7	,	,	PUNCT
ap-951	391	8	)	)	PUNCT
ap-951	391	9	u	u	PROPN
ap-951	391	10	zj	zj	PROPN
ap-951	391	11	is	be	AUX
ap-951	391	12	(	(	PUNCT
ap-951	391	13	4.29	4.29	NUM
ap-951	391	14	)	)	PUNCT
ap-951	391	15	.	.	PUNCT
ap-951	392	1	it	it	PRON
ap-951	392	2	follows	follow	VERB
ap-951	392	3	from	from	ADP
ap-951	392	4	(	(	PUNCT
ap-951	392	5	4.32	4.32	NUM
ap-951	392	6	)	)	PUNCT
ap-951	392	7	that	that	SCONJ
ap-951	392	8	the	the	DET
ap-951	392	9	section	section	NOUN
ap-951	392	10	has	have	VERB
ap-951	392	11	the	the	DET
ap-951	392	12	prescribed	prescribed	ADJ
ap-951	392	13	monodromies	monodromie	NOUN
ap-951	392	14	.	.	PUNCT
ap-951	393	1	for	for	ADP
ap-951	393	2	the	the	DET
ap-951	393	3	fields	field	NOUN
ap-951	393	4	and	and	CCONJ
ap-951	393	5	the	the	DET
ap-951	393	6	gauge	gauge	NOUN
ap-951	393	7	group	group	NOUN
ap-951	393	8	we	we	PRON
ap-951	393	9	have	have	VERB
ap-951	393	10	the	the	DET
ap-951	393	11	same	same	ADJ
ap-951	393	12	monodromies	monodromie	NOUN
ap-951	393	13	a	a	DET
ap-951	393	14	z	z	NOUN
ap-951	393	15	a	a	DET
ap-951	393	16	z	z	NOUN
ap-951	393	17	(	(	PUNCT
ap-951	393	18	)	)	PUNCT
ap-951	393	19	(	(	PUNCT
ap-951	393	20	)	)	PUNCT
ap-951	393	21	�	�	PROPN
ap-951	393	22	1	1	NUM
ap-951	393	23	,	,	PUNCT
ap-951	393	24	(	(	PUNCT
ap-951	393	25	)	)	PUNCT
ap-951	393	26	(	(	PUNCT
ap-951	393	27	)	)	PUNCT
ap-951	393	28	z	z	NOUN
ap-951	393	29	z	z	NOUN
ap-951	393	30	�	�	PROPN
ap-951	393	31	1	1	NUM
ap-951	393	32	,	,	PUNCT
ap-951	393	33	a	a	DET
ap-951	393	34	z	z	NOUN
ap-951	393	35	a	a	DET
ap-951	393	36	z	z	NOUN
ap-951	393	37	(	(	PUNCT
ap-951	393	38	)	)	PUNCT
ap-951	393	39	(	(	PUNCT
ap-951	393	40	)	)	PUNCT
ap-951	393	41	(	(	PUNCT
ap-951	393	42	)	)	PUNCT
ap-951	393	43	(	(	PUNCT
ap-951	393	44	)	)	PUNCT
ap-951	393	45	�	�	PROPN
ap-951	393	46	�	�	PROPN
ap-951	393	47	�	�	PROPN
ap-951	393	48	e	e	ADP
ap-951	393	49	u	u	NOUN
ap-951	393	50	e	e	PROPN
ap-951	393	51	u	u	PROPN
ap-951	393	52	,	,	PUNCT
ap-951	393	53	(	(	PUNCT
ap-951	393	54	)	)	PUNCT
ap-951	393	55	(	(	PUNCT
ap-951	393	56	)	)	PUNCT
ap-951	393	57	(	(	PUNCT
ap-951	393	58	)	)	PUNCT
ap-951	393	59	(	(	PUNCT
ap-951	393	60	)	)	PUNCT
ap-951	394	1	z	z	NOUN
ap-951	394	2	z	z	PROPN
ap-951	394	3	�	�	PROPN
ap-951	394	4	�	�	PROPN
ap-951	394	5	�	�	PROPN
ap-951	394	6	e	e	NOUN
ap-951	394	7	u	u	NOUN
ap-951	394	8	e	e	PROPN
ap-951	394	9	u	u	PROPN
ap-951	394	10	,	,	PUNCT
ap-951	394	11	f	f	PROPN
ap-951	394	12	z	z	NOUN
ap-951	394	13	z	z	PROPN
ap-951	394	14	f	f	PROPN
ap-951	394	15	z	z	PROPN
ap-951	394	16	z	z	PROPN
ap-951	394	17	(	(	PUNCT
ap-951	394	18	,	,	PUNCT
ap-951	394	19	)	)	PUNCT
ap-951	394	20	(	(	PUNCT
ap-951	394	21	,	,	PUNCT
ap-951	394	22	)	)	PUNCT
ap-951	394	23	,	,	PUNCT
ap-951	394	24	�	�	PROPN
ap-951	394	25	1	1	NUM
ap-951	394	26	1	1	NUM
ap-951	394	27	f	f	NOUN
ap-951	394	28	z	z	NOUN
ap-951	394	29	z	z	NOUN
ap-951	394	30	f	f	PROPN
ap-951	394	31	z	z	PROPN
ap-951	394	32	z	z	PROPN
ap-951	394	33	(	(	PUNCT
ap-951	394	34	,	,	PUNCT
ap-951	394	35	)	)	PUNCT
ap-951	394	36	(	(	PUNCT
ap-951	394	37	)	)	PUNCT
ap-951	394	38	(	(	PUNCT
ap-951	394	39	,	,	PUNCT
ap-951	394	40	)	)	PUNCT
ap-951	394	41	(	(	PUNCT
ap-951	394	42	)	)	PUNCT
ap-951	394	43	�	�	PROPN
ap-951	394	44	�	�	PROPN
ap-951	394	45	�	�	PROPN
ap-951	394	46	�	�	PROPN
ap-951	394	47	e	e	ADP
ap-951	394	48	u	u	NOUN
ap-951	394	49	e	e	PROPN
ap-951	394	50	u	u	NOUN
ap-951	394	51	.	.	PUNCT
ap-951	395	1	it	it	PRON
ap-951	395	2	can	can	AUX
ap-951	395	3	be	be	AUX
ap-951	395	4	proved	prove	VERB
ap-951	395	5	that	that	SCONJ
ap-951	395	6	for	for	ADP
ap-951	395	7	bundles	bundle	NOUN
ap-951	395	8	of	of	ADP
ap-951	395	9	degree	degree	NOUN
ap-951	395	10	zero	zero	NUM
ap-951	395	11	generic	generic	ADJ
ap-951	395	12	connections	connection	NOUN
ap-951	395	13	a	a	DET
ap-951	395	14	f	f	PROPN
ap-951	395	15	f	f	X
ap-951	395	16	�	�	PROPN
ap-951	395	17	�	�	PROPN
ap-951	395	18	�	�	PROPN
ap-951	395	19	�	�	PROPN
ap-951	395	20	1	1	NUM
ap-951	395	21	is	be	AUX
ap-951	395	22	trivial	trivial	ADJ
ap-951	395	23	and	and	CCONJ
ap-951	395	24	therefore	therefore	ADV
ap-951	395	25	a	a	DET
ap-951	395	26	a	a	DET
ap-951	395	27	�	�	PROPN
ap-951	395	28	�	�	PROPN
ap-951	395	29	0	0	NUM
ap-951	395	30	0	0	NUM
ap-951	395	31	.	.	PUNCT
ap-951	396	1	(	(	PUNCT
ap-951	396	2	4.35	4.35	NUM
ap-951	396	3	)	)	PUNCT
ap-951	396	4	this	this	PRON
ap-951	396	5	means	mean	VERB
ap-951	396	6	that	that	SCONJ
ap-951	396	7	stable	stable	ADJ
ap-951	396	8	bundles	bundle	NOUN
ap-951	396	9	e	e	NOUN
ap-951	396	10	of	of	ADP
ap-951	396	11	rank	rank	NOUN
ap-951	396	12	n	n	NOUN
ap-951	396	13	are	be	AUX
ap-951	396	14	decomposed	decompose	VERB
ap-951	396	15	into	into	ADP
ap-951	396	16	the	the	DET
ap-951	396	17	direct	direct	ADJ
ap-951	396	18	sum	sum	NOUN
ap-951	396	19	of	of	ADP
ap-951	396	20	line	line	NOUN
ap-951	396	21	bundles	bundle	NOUN
ap-951	396	22	e	e	PROPN
ap-951	396	23	j	j	PROPN
ap-951	396	24	n	n	CCONJ
ap-951	396	25	j	j	PROPN
ap-951	396	26	�	�	PROPN
ap-951	396	27	�	�	PROPN
ap-951	396	28	�	�	PROPN
ap-951	396	29	1	1	NUM
ap-951	396	30	�	�	PROPN
ap-951	396	31	,	,	PUNCT
ap-951	396	32	with	with	ADP
ap-951	396	33	the	the	DET
ap-951	396	34	sections	section	NOUN
ap-951	396	35	(	(	PUNCT
ap-951	396	36	4.34	4.34	NUM
ap-951	396	37	)	)	PUNCT
ap-951	396	38	.	.	PUNCT
ap-951	397	1	the	the	DET
ap-951	397	2	elements	element	NOUN
ap-951	397	3	uj	uj	PROPN
ap-951	397	4	are	be	AUX
ap-951	397	5	the	the	DET
ap-951	397	6	points	point	NOUN
ap-951	397	7	of	of	ADP
ap-951	397	8	the	the	DET
ap-951	397	9	jacobian	jacobian	PROPN
ap-951	397	10	jac	jac	PROPN
ap-951	397	11	(	(	PUNCT
ap-951	397	12	)	)	PUNCT
ap-951	397	13	�	�	PROPN
ap-951	397	14	�	�	PROPN
ap-951	397	15	.	.	PUNCT
ap-951	398	1	they	they	PRON
ap-951	398	2	play	play	VERB
ap-951	398	3	the	the	DET
ap-951	398	4	role	role	NOUN
ap-951	398	5	of	of	ADP
ap-951	398	6	coordinates	coordinate	NOUN
ap-951	398	7	,	,	PUNCT
ap-951	398	8	and	and	CCONJ
ap-951	398	9	thereby	thereby	ADV
ap-951	398	10	,	,	PUNCT
ap-951	398	11	c	c	PROPN
ap-951	398	12	jac	jac	PROPN
ap-951	398	13	�	�	PROPN
ap-951	398	14	�	�	PROPN
ap-951	398	15	~	~	PUNCT
ap-951	398	16	(	(	PUNCT
ap-951	398	17	)	)	PUNCT
ap-951	398	18	�	�	PROPN
ap-951	398	19	.	.	PUNCT
ap-951	399	1	this	this	DET
ap-951	399	2	gauge	gauge	NOUN
ap-951	399	3	fixing	fixing	NOUN
ap-951	399	4	is	be	AUX
ap-951	399	5	invariant	invariant	ADJ
ap-951	399	6	with	with	ADP
ap-951	399	7	respect	respect	NOUN
ap-951	399	8	to	to	ADP
ap-951	399	9	the	the	DET
ap-951	399	10	constant	constant	ADJ
ap-951	399	11	diagonal	diagonal	ADJ
ap-951	399	12	subgroup	subgroup	NOUN
ap-951	399	13	d0	d0	NOUN
ap-951	399	14	.	.	PUNCT
ap-951	400	1	it	it	PRON
ap-951	400	2	acts	act	VERB
ap-951	400	3	on	on	ADP
ap-951	400	4	the	the	DET
ap-951	400	5	spin	spin	NOUN
ap-951	400	6	variables	variable	NOUN
ap-951	400	7	s	s	PART
ap-951	400	8	�	�	PROPN
ap-951	400	9	.	.	PUNCT
ap-951	401	1	this	this	DET
ap-951	401	2	action	action	NOUN
ap-951	401	3	is	be	AUX
ap-951	401	4	hamiltonian	hamiltonian	ADJ
ap-951	401	5	.	.	PUNCT
ap-951	402	1	the	the	DET
ap-951	402	2	moment	moment	NOUN
ap-951	402	3	equation	equation	NOUN
ap-951	402	4	of	of	ADP
ap-951	402	5	this	this	DET
ap-951	402	6	action	action	NOUN
ap-951	402	7	is	be	AUX
ap-951	402	8	diag	diag	NOUN
ap-951	402	9	(	(	PUNCT
ap-951	402	10	)	)	PUNCT
ap-951	402	11	�	�	PROPN
ap-951	402	12	0	0	NUM
ap-951	402	13	.	.	PUNCT
ap-951	403	1	this	this	DET
ap-951	403	2	condition	condition	NOUN
ap-951	403	3	dictates	dictate	VERB
ap-951	403	4	the	the	DET
ap-951	403	5	form	form	NOUN
ap-951	403	6	of	of	ADP
ap-951	403	7	s	s	PROPN
ap-951	403	8	j0	j0	PROPN
ap-951	403	9	�	�	PROPN
ap-951	403	10	.	.	PUNCT
ap-951	404	1	gauge	gauge	PROPN
ap-951	404	2	fixing	fix	VERB
ap-951	404	3	allows	allow	VERB
ap-951	404	4	one	one	PRON
ap-951	404	5	to	to	PART
ap-951	404	6	kill	kill	VERB
ap-951	404	7	the	the	DET
ap-951	404	8	degrees	degree	NOUN
ap-951	404	9	of	of	ADP
ap-951	404	10	freedom	freedom	NOUN
ap-951	404	11	related	relate	VERB
ap-951	404	12	to	to	ADP
ap-951	404	13	the	the	DET
ap-951	404	14	spin	spin	NOUN
ap-951	404	15	variables	variable	NOUN
ap-951	404	16	,	,	PUNCT
ap-951	404	17	because	because	SCONJ
ap-951	404	18	dim	dim	NOUN
ap-951	404	19	(	(	PUNCT
ap-951	404	20	)	)	PUNCT
ap-951	404	21	(	(	PUNCT
ap-951	404	22	)	)	PUNCT
ap-951	404	23	�	�	PROPN
ap-951	404	24	�	�	PROPN
ap-951	404	25	2	2	NUM
ap-951	404	26	1n	1n	NUM
ap-951	404	27	and	and	CCONJ
ap-951	404	28	dim	dim	ADJ
ap-951	404	29	(	(	PUNCT
ap-951	404	30	)	)	PUNCT
ap-951	404	31	d	d	SYM
ap-951	404	32	n0	n0	NUM
ap-951	404	33	1	1	NUM
ap-951	404	34	�	�	PROPN
ap-951	404	35	�	�	PROPN
ap-951	404	36	.	.	PUNCT
ap-951	405	1	thus	thus	ADV
ap-951	405	2	,	,	PUNCT
ap-951	405	3	the	the	DET
ap-951	405	4	symplectic	symplectic	ADJ
ap-951	405	5	quotient	quotient	NOUN
ap-951	405	6	is	be	AUX
ap-951	405	7	a	a	DET
ap-951	405	8	point	point	NOUN
ap-951	405	9	(	(	PUNCT
ap-951	405	10	dim	dim	NOUN
ap-951	405	11	(	(	PUNCT
ap-951	405	12	/	/	SYM
ap-951	405	13	/	/	SYM
ap-951	405	14	)	)	PUNCT
ap-951	405	15	)	)	PUNCT
ap-951	405	16	d0	d0	PROPN
ap-951	405	17	0	0	NUM
ap-951	405	18	�	�	PROPN
ap-951	405	19	.	.	PUNCT
ap-951	406	1	remark	remark	VERB
ap-951	406	2	4.1	4.1	NUM
ap-951	406	3	one	one	NOUN
ap-951	406	4	can	can	AUX
ap-951	406	5	choose	choose	VERB
ap-951	406	6	an	an	DET
ap-951	406	7	arbitrary	arbitrary	ADJ
ap-951	406	8	orbit	orbit	NOUN
ap-951	406	9	�	�	PROPN
ap-951	406	10	.	.	PUNCT
ap-951	407	1	in	in	ADP
ap-951	407	2	this	this	DET
ap-951	407	3	case	case	NOUN
ap-951	407	4	we	we	PRON
ap-951	407	5	come	come	VERB
ap-951	407	6	to	to	ADP
ap-951	407	7	the	the	DET
ap-951	407	8	symplectic	symplectic	ADJ
ap-951	407	9	quotient	quotient	NOUN
ap-951	407	10	�	�	PROPN
ap-951	407	11	//d0	//d0	PROPN
ap-951	407	12	.	.	PUNCT
ap-951	408	1	it	it	PRON
ap-951	408	2	has	have	VERB
ap-951	408	3	dimension	dimension	NOUN
ap-951	408	4	dim	dim	NOUN
ap-951	408	5	(	(	PUNCT
ap-951	408	6	)	)	PUNCT
ap-951	408	7	(	(	PUNCT
ap-951	408	8	)	)	PUNCT
ap-951	408	9	�	�	PROPN
ap-951	408	10	�	�	PROPN
ap-951	408	11	2	2	NUM
ap-951	408	12	1n	1n	NUM
ap-951	408	13	.	.	PUNCT
ap-951	409	1	now	now	ADV
ap-951	409	2	consider	consider	VERB
ap-951	409	3	solutions	solution	NOUN
ap-951	409	4	the	the	DET
ap-951	409	5	moment	moment	NOUN
ap-951	409	6	equation	equation	NOUN
ap-951	409	7	(	(	PUNCT
ap-951	409	8	4.23	4.23	NUM
ap-951	409	9	)	)	PUNCT
ap-951	409	10	with	with	ADP
ap-951	409	11	the	the	DET
ap-951	409	12	prescribed	prescribed	ADJ
ap-951	409	13	monodromies	monodromie	NOUN
ap-951	409	14	and	and	CCONJ
ap-951	409	15	prove	prove	VERB
ap-951	409	16	that	that	PRON
ap-951	409	17	becomes	become	VERB
ap-951	409	18	the	the	DET
ap-951	409	19	lax	lax	ADJ
ap-951	409	20	matrix	matrix	NOUN
ap-951	409	21	�	�	PROPN
ap-951	409	22	�	�	PROPN
ap-951	409	23	l	l	PROPN
ap-951	409	24	v	v	X
ap-951	409	25	xcm	xcm	X
ap-951	409	26	(	(	PUNCT
ap-951	409	27	4.27	4.27	NUM
ap-951	409	28	)	)	PUNCT
ap-951	409	29	.	.	PUNCT
ap-951	410	1	since	since	SCONJ
ap-951	410	2	a0	a0	PROPN
ap-951	410	3	0	0	NUM
ap-951	410	4	�	�	PROPN
ap-951	410	5	,	,	PUNCT
ap-951	410	6	v	v	PROPN
ap-951	410	7	does	do	AUX
ap-951	410	8	not	not	PART
ap-951	410	9	contribute	contribute	VERB
ap-951	410	10	in	in	ADP
ap-951	410	11	(	(	PUNCT
ap-951	410	12	4.23	4.23	NUM
ap-951	410	13	)	)	PUNCT
ap-951	410	14	and	and	CCONJ
ap-951	410	15	its	its	PRON
ap-951	410	16	elements	element	NOUN
ap-951	410	17	are	be	AUX
ap-951	410	18	free	free	ADJ
ap-951	410	19	parameters	parameter	NOUN
ap-951	410	20	.	.	PUNCT
ap-951	411	1	we	we	PRON
ap-951	411	2	identify	identify	VERB
ap-951	411	3	them	they	PRON
ap-951	411	4	with	with	ADP
ap-951	411	5	momenta	momenta	NOUN
ap-951	411	6	of	of	ADP
ap-951	411	7	the	the	DET
ap-951	411	8	particles	particle	NOUN
ap-951	411	9	v	v	ADP
ap-951	411	10	v	v	ADP
ap-951	411	11	vn	vn	PROPN
ap-951	411	12	�	�	PROPN
ap-951	411	13	diag	diag	NOUN
ap-951	411	14	(	(	PUNCT
ap-951	411	15	,	,	PUNCT
ap-951	411	16	,	,	PUNCT
ap-951	411	17	)	)	PUNCT
ap-951	411	18	1	1	NUM
ap-951	411	19	�	�	PROPN
ap-951	411	20	.	.	PUNCT
ap-951	412	1	due	due	ADP
ap-951	412	2	to	to	ADP
ap-951	412	3	the	the	DET
ap-951	412	4	term	term	NOUN
ap-951	412	5	with	with	ADP
ap-951	412	6	the	the	DET
ap-951	412	7	delta	delta	NOUN
ap-951	412	8	-	-	PUNCT
ap-951	412	9	function	function	NOUN
ap-951	412	10	in	in	ADP
ap-951	412	11	(	(	PUNCT
ap-951	412	12	4.23	4.23	NUM
ap-951	412	13	)	)	PUNCT
ap-951	412	14	the	the	DET
ap-951	412	15	off	off	ADV
ap-951	412	16	-	-	PUNCT
ap-951	412	17	diagonal	diagonal	ADJ
ap-951	412	18	part	part	NOUN
ap-951	412	19	should	should	AUX
ap-951	412	20	have	have	VERB
ap-951	412	21	a	a	DET
ap-951	412	22	simple	simple	ADJ
ap-951	412	23	pole	pole	NOUN
ap-951	412	24	with	with	ADP
ap-951	412	25	the	the	DET
ap-951	412	26	residue	residue	NOUN
ap-951	412	27	j	j	PROPN
ap-951	412	28	and	and	CCONJ
ap-951	412	29	the	the	DET
ap-951	412	30	prescribed	prescribed	ADJ
ap-951	412	31	monodromies	monodromie	NOUN
ap-951	412	32	.	.	PUNCT
ap-951	413	1	it	it	PRON
ap-951	413	2	follows	follow	VERB
ap-951	413	3	from	from	ADP
ap-951	413	4	(	(	PUNCT
ap-951	413	5	4.32	4.32	NUM
ap-951	413	6	)	)	PUNCT
ap-951	413	7	and	and	CCONJ
ap-951	413	8	(	(	PUNCT
ap-951	413	9	4.33	4.33	NUM
ap-951	413	10	)	)	PUNCT
ap-951	413	11	that	that	SCONJ
ap-951	413	12	xjk	xjk	PROPN
ap-951	413	13	satisfies	satisfy	VERB
ap-951	413	14	these	these	DET
ap-951	413	15	conditions	condition	NOUN
ap-951	413	16	.	.	PUNCT
ap-951	414	1	they	they	PRON
ap-951	414	2	uniquely	uniquely	ADV
ap-951	414	3	fix	fix	VERB
ap-951	414	4	its	its	PRON
ap-951	414	5	matrix	matrix	NOUN
ap-951	414	6	elements	element	NOUN
ap-951	414	7	.	.	PUNCT
ap-951	415	1	the	the	DET
ap-951	415	2	reduced	reduce	VERB
ap-951	415	3	space	space	NOUN
ap-951	415	4	is	be	AUX
ap-951	415	5	described	describe	VERB
ap-951	415	6	by	by	ADP
ap-951	415	7	the	the	DET
ap-951	415	8	variables	variable	NOUN
ap-951	415	9	v	v	VERB
ap-951	415	10	and	and	CCONJ
ap-951	415	11	u.	u.	VERB
ap-951	415	12	the	the	DET
ap-951	415	13	symplectic	symplectic	ADJ
ap-951	415	14	form	form	NOUN
ap-951	415	15	on	on	ADP
ap-951	415	16	the	the	DET
ap-951	415	17	reduced	reduce	VERB
ap-951	415	18	space	space	NOUN
ap-951	415	19	l	l	NOUN
ap-951	415	20	a	a	DET
ap-951	415	21	dv	dv	PROPN
ap-951	415	22	ducm	ducm	PROPN
ap-951	415	23	j	j	PROPN
ap-951	415	24	j	j	PROPN
ap-951	415	25	,	,	PUNCT
ap-951	415	26	,	,	PUNCT
ap-951	415	27	0	0	NUM
ap-951	415	28	1	1	NUM
ap-951	415	29	1	1	NUM
ap-951	415	30	�	�	PROPN
ap-951	415	31	�	�	PROPN
ap-951	415	32	�	�	PROPN
ap-951	415	33	�	�	PROPN
ap-951	415	34	�	�	PROPN
ap-951	415	35	leads	lead	VERB
ap-951	415	36	to	to	ADP
ap-951	415	37	the	the	DET
ap-951	415	38	brackets	bracket	NOUN
ap-951	415	39	{	{	PUNCT
ap-951	415	40	,	,	PUNCT
ap-951	415	41	}	}	PUNCT
ap-951	415	42	v	v	NOUN
ap-951	415	43	uj	uj	PROPN
ap-951	415	44	k	k	PROPN
ap-951	415	45	jk	jk	PROPN
ap-951	415	46	�	�	PROPN
ap-951	415	47	�	�	PROPN
ap-951	415	48	.	.	PUNCT
ap-951	416	1	from	from	ADP
ap-951	416	2	the	the	DET
ap-951	416	3	general	general	ADJ
ap-951	416	4	construction	construction	NOUN
ap-951	416	5	the	the	DET
ap-951	416	6	integrals	integral	NOUN
ap-951	416	7	of	of	ADP
ap-951	416	8	motion	motion	NOUN
ap-951	416	9	come	come	VERB
ap-951	416	10	from	from	ADP
ap-951	416	11	the	the	DET
ap-951	416	12	expansion	expansion	NOUN
ap-951	416	13	of	of	ADP
ap-951	416	14	tr	tr	VERB
ap-951	416	15	(	(	PUNCT
ap-951	416	16	)	)	PUNCT
ap-951	416	17	(	(	PUNCT
ap-951	416	18	,	,	PUNCT
ap-951	416	19	,	,	PUNCT
ap-951	416	20	)	)	PUNCT
ap-951	416	21	l	l	NOUN
ap-951	416	22	zcm	zcm	PROPN
ap-951	416	23	j	j	PROPN
ap-951	416	24	v	v	NUM
ap-951	416	25	u	u	PROPN
ap-951	416	26	.	.	PUNCT
ap-951	417	1	they	they	PRON
ap-951	417	2	are	be	AUX
ap-951	417	3	double	double	ADJ
ap-951	417	4	periodic	periodic	ADJ
ap-951	417	5	meromorphic	meromorphic	ADJ
ap-951	417	6	functions	function	NOUN
ap-951	417	7	with	with	ADP
ap-951	417	8	poles	pole	NOUN
ap-951	417	9	at	at	ADP
ap-951	417	10	z	z	PROPN
ap-951	417	11	�	�	PROPN
ap-951	417	12	0	0	NUM
ap-951	417	13	.	.	PUNCT
ap-951	418	1	this	this	PRON
ap-951	418	2	is	be	AUX
ap-951	418	3	a	a	DET
ap-951	418	4	finite	finite	ADJ
ap-951	418	5	-	-	ADJ
ap-951	418	6	dimensional	dimensional	ADJ
ap-951	418	7	space	space	NOUN
ap-951	418	8	generated	generate	VERB
ap-951	418	9	by	by	ADP
ap-951	418	10	a	a	DET
ap-951	418	11	basis	basis	NOUN
ap-951	418	12	of	of	ADP
ap-951	418	13	derivative	derivative	NOUN
ap-951	418	14	of	of	ADP
ap-951	418	15	the	the	DET
ap-951	418	16	weierschtrass	weierschtrass	NOUN
ap-951	418	17	functions	function	NOUN
ap-951	418	18	.	.	PUNCT
ap-951	419	1	they	they	PRON
ap-951	419	2	are	be	AUX
ap-951	419	3	elements	element	NOUN
ap-951	419	4	of	of	ADP
ap-951	419	5	the	the	DET
ap-951	419	6	basis	basis	NOUN
ap-951	419	7	�	�	PROPN
ap-951	419	8	jk	jk	PROPN
ap-951	419	9	in	in	ADP
ap-951	419	10	(	(	PUNCT
ap-951	419	11	4.25	4.25	NUM
ap-951	419	12	)	)	PUNCT
ap-951	419	13	.	.	PUNCT
ap-951	420	1	1	1	NUM
ap-951	420	2	0	0	NUM
ap-951	420	3	2j	2j	NUM
ap-951	420	4	l	l	NOUN
ap-951	420	5	z	z	NOUN
ap-951	421	1	i	i	PRON
ap-951	421	2	i	i	PRON
ap-951	421	3	z	z	VERB
ap-951	422	1	i	i	PRON
ap-951	422	2	zcm	zcm	VERB
ap-951	423	1	j	j	PROPN
ap-951	423	2	j	j	PROPN
ap-951	423	3	cm	cm	PROPN
ap-951	423	4	j	j	PROPN
ap-951	423	5	cm	cm	PROPN
ap-951	423	6	jj	jj	PROPN
ap-951	423	7	cm	cm	PROPN
ap-951	423	8	jtr	jtr	PROPN
ap-951	423	9	(	(	PUNCT
ap-951	423	10	)	)	PUNCT
ap-951	423	11	(	(	PUNCT
ap-951	423	12	,	,	PUNCT
ap-951	423	13	,	,	PUNCT
ap-951	423	14	)	)	PUNCT
ap-951	423	15	(	(	PUNCT
ap-951	423	16	)	)	PUNCT
ap-951	423	17	(	(	PUNCT
ap-951	423	18	)	)	PUNCT
ap-951	423	19	(	(	PUNCT
ap-951	423	20	)	)	PUNCT
ap-951	423	21	v	v	PART
ap-951	423	22	u	u	PROPN
ap-951	423	23	�	�	PROPN
ap-951	423	24	&	&	CCONJ
ap-951	423	25	&	&	CCONJ
ap-951	423	26	�	�	PROPN
ap-951	423	27	.	.	PUNCT
ap-951	424	1	(	(	PUNCT
ap-951	424	2	4.36	4.36	NUM
ap-951	424	3	)	)	PUNCT
ap-951	424	4	there	there	PRON
ap-951	424	5	are	be	VERB
ap-951	424	6	n	n	PRON
ap-951	424	7	n	n	CCONJ
ap-951	424	8	(	(	PUNCT
ap-951	424	9	)	)	PUNCT
ap-951	424	10	�	�	PROPN
ap-951	424	11	1	1	NUM
ap-951	424	12	2	2	NUM
ap-951	424	13	1	1	NUM
ap-951	424	14	integrals	integral	NOUN
ap-951	424	15	.	.	PUNCT
ap-951	425	1	due	due	ADP
ap-951	425	2	to	to	ADP
ap-951	425	3	a	a	DET
ap-951	425	4	special	special	ADJ
ap-951	425	5	choice	choice	NOUN
ap-951	425	6	of	of	ADP
ap-951	425	7	the	the	DET
ap-951	425	8	orbit	orbit	NOUN
ap-951	425	9	only	only	ADV
ap-951	425	10	n	n	PRON
ap-951	425	11	�	�	NOUN
ap-951	425	12	1integrals	1integral	NOUN
ap-951	425	13	are	be	AUX
ap-951	425	14	independent	independent	ADJ
ap-951	425	15	.	.	PUNCT
ap-951	426	1	in	in	ADP
ap-951	426	2	particular	particular	ADJ
ap-951	426	3	,	,	PUNCT
ap-951	426	4	1	1	NUM
ap-951	426	5	2	2	NUM
ap-951	426	6	tr	tr	VERB
ap-951	426	7	(	(	PUNCT
ap-951	426	8	)	)	PUNCT
ap-951	426	9	(	(	PUNCT
ap-951	426	10	,	,	PUNCT
ap-951	426	11	,	,	PUNCT
ap-951	426	12	)	)	PUNCT
ap-951	426	13	(	(	PUNCT
ap-951	426	14	)	)	PUNCT
ap-951	426	15	l	l	NOUN
ap-951	426	16	z	z	NOUN
ap-951	426	17	h	h	PROPN
ap-951	426	18	zcm	zcm	PROPN
ap-951	426	19	cm2	cm2	PROPN
ap-951	426	20	2v	2v	PROPN
ap-951	426	21	u	u	PROPN
ap-951	426	22	�	�	PROPN
ap-951	426	23	�	�	PROPN
ap-951	426	24	&	&	CCONJ
ap-951	426	25	.	.	PUNCT
ap-951	427	1	for	for	ADP
ap-951	427	2	generic	generic	ADJ
ap-951	427	3	orbits	orbit	NOUN
ap-951	427	4	(	(	PUNCT
ap-951	427	5	see	see	VERB
ap-951	427	6	remark	remark	NOUN
ap-951	427	7	4.1	4.1	NUM
ap-951	427	8	)	)	PUNCT
ap-951	427	9	the	the	DET
ap-951	427	10	hamiltonian	hamiltonian	NOUN
ap-951	427	11	take	take	VERB
ap-951	427	12	the	the	DET
ap-951	427	13	form	form	NOUN
ap-951	428	1	h	h	NOUN
ap-951	428	2	s	s	PART
ap-951	428	3	s	s	NOUN
ap-951	428	4	u	u	NOUN
ap-951	428	5	ucm	ucm	PROPN
ap-951	428	6	jk	jk	PROPN
ap-951	428	7	kj	kj	PROPN
ap-951	428	8	j	j	PROPN
ap-951	429	1	k	k	PROPN
ap-951	429	2	j	j	PROPN
ap-951	429	3	k	k	PROPN
ap-951	429	4	�	�	PROPN
ap-951	429	5	&	&	CCONJ
ap-951	429	6	�	�	PROPN
ap-951	429	7	'	'	PART
ap-951	429	8	�	�	PROPN
ap-951	429	9	1	1	NUM
ap-951	429	10	2	2	NUM
ap-951	429	11	2v	2v	NUM
ap-951	429	12	(	(	PUNCT
ap-951	429	13	)	)	PUNCT
ap-951	429	14	.	.	PUNCT
ap-951	430	1	this	this	PRON
ap-951	430	2	is	be	AUX
ap-951	430	3	ecms	ecms	NOUN
ap-951	430	4	with	with	ADP
ap-951	430	5	spin	spin	NOUN
ap-951	430	6	[	[	X
ap-951	430	7	34	34	NUM
ap-951	430	8	]	]	PUNCT
ap-951	430	9	.	.	PUNCT
ap-951	431	1	note	note	NOUN
ap-951	431	2	,	,	PUNCT
ap-951	431	3	that	that	PRON
ap-951	431	4	ij	ij	NOUN
ap-951	431	5	,	,	PUNCT
ap-951	431	6	j	j	PROPN
ap-951	431	7	are	be	AUX
ap-951	431	8	the	the	DET
ap-951	431	9	casimir	casimir	NOUN
ap-951	431	10	functions	function	NOUN
ap-951	431	11	defining	define	VERB
ap-951	431	12	a	a	DET
ap-951	431	13	generic	generic	ADJ
ap-951	431	14	orbit	orbit	NOUN
ap-951	431	15	.	.	PUNCT
ap-951	432	1	therefore	therefore	ADV
ap-951	432	2	we	we	PRON
ap-951	432	3	have	have	VERB
ap-951	432	4	n	n	NUM
ap-951	432	5	n	n	CCONJ
ap-951	432	6	n	n	CCONJ
ap-951	432	7	nn	nn	PROPN
ap-951	432	8	(	(	PUNCT
ap-951	432	9	)	)	PUNCT
ap-951	432	10	(	(	PUNCT
ap-951	432	11	)	)	PUNCT
ap-951	432	12	(	(	PUNCT
ap-951	432	13	)	)	PUNCT
ap-951	432	14	�	�	PROPN
ap-951	432	15	�	�	PROPN
ap-951	432	16	�	�	PROPN
ap-951	432	17	�	�	PROPN
ap-951	432	18	�	�	PROPN
ap-951	432	19	1	1	NUM
ap-951	432	20	2	2	NUM
ap-951	432	21	1	1	NUM
ap-951	432	22	21	21	NUM
ap-951	432	23	1	1	NUM
ap-951	432	24	commuting	commuting	NOUN
ap-951	432	25	integrals	integral	NOUN
ap-951	432	26	of	of	ADP
ap-951	432	27	motion	motion	NOUN
ap-951	432	28	.	.	PUNCT
ap-951	433	1	the	the	DET
ap-951	433	2	number	number	NOUN
ap-951	433	3	of	of	ADP
ap-951	433	4	independent	independent	ADJ
ap-951	433	5	commuting	commuting	NOUN
ap-951	433	6	integrals	integral	NOUN
ap-951	433	7	is	be	AUX
ap-951	433	8	always	always	ADV
ap-951	433	9	equal	equal	ADJ
ap-951	433	10	to	to	ADP
ap-951	433	11	1	1	NUM
ap-951	433	12	2	2	NUM
ap-951	433	13	dim	dim	NOUN
ap-951	433	14	(	(	PUNCT
ap-951	433	15	)	)	PUNCT
ap-951	433	16	.	.	PUNCT
ap-951	434	1	4.3	4.3	NUM
ap-951	434	2	elliptic	elliptic	ADJ
ap-951	434	3	top	top	NOUN
ap-951	434	4	(	(	PUNCT
ap-951	434	5	et	et	NOUN
ap-951	434	6	)	)	PUNCT
ap-951	434	7	on	on	ADP
ap-951	434	8	gl	gl	PROPN
ap-951	434	9	(	(	PUNCT
ap-951	434	10	,	,	PUNCT
ap-951	434	11	)	)	PUNCT
ap-951	434	12	n	n	CCONJ
ap-951	434	13	�	�	PROPN
ap-951	434	14	4.3.1	4.3.1	NUM
ap-951	434	15	description	description	NOUN
ap-951	434	16	of	of	ADP
ap-951	434	17	the	the	DET
ap-951	434	18	system	system	NOUN
ap-951	434	19	the	the	DET
ap-951	434	20	elliptic	elliptic	ADJ
ap-951	434	21	top	top	NOUN
ap-951	434	22	is	be	AUX
ap-951	434	23	an	an	DET
ap-951	434	24	example	example	NOUN
ap-951	434	25	of	of	ADP
ap-951	434	26	euler	euler	PROPN
ap-951	434	27	-	-	PUNCT
ap-951	434	28	arnold	arnold	PROPN
ap-951	434	29	top	top	NOUN
ap-951	434	30	related	relate	VERB
ap-951	434	31	to	to	ADP
ap-951	434	32	the	the	DET
ap-951	434	33	group	group	NOUN
ap-951	434	34	gl	gl	PROPN
ap-951	434	35	(	(	PUNCT
ap-951	434	36	,	,	PUNCT
ap-951	434	37	)	)	PUNCT
ap-951	434	38	n	n	DET
ap-951	434	39	�	�	PROPN
ap-951	434	40	.	.	PUNCT
ap-951	435	1	its	its	PRON
ap-951	435	2	phase	phase	NOUN
ap-951	435	3	space	space	NOUN
ap-951	435	4	is	be	AUX
ap-951	435	5	a	a	DET
ap-951	435	6	coadjoint	coadjoint	NOUN
ap-951	435	7	orbit	orbit	NOUN
ap-951	435	8	of	of	ADP
ap-951	435	9	gl	gl	PROPN
ap-951	435	10	(	(	PUNCT
ap-951	435	11	,	,	PUNCT
ap-951	435	12	)	)	PUNCT
ap-951	435	13	n	n	DET
ap-951	435	14	�	�	PROPN
ap-951	435	15	.	.	PUNCT
ap-951	436	1	the	the	DET
ap-951	436	2	hamiltonian	hamiltonian	NOUN
ap-951	436	3	is	be	AUX
ap-951	436	4	a	a	DET
ap-951	436	5	quadratic	quadratic	ADJ
ap-951	436	6	form	form	NOUN
ap-951	436	7	on	on	ADP
ap-951	436	8	the	the	DET
ap-951	436	9	coalgebra	coalgebra	NOUN
ap-951	436	10	g	g	ADP
ap-951	436	11	*	*	PROPN
ap-951	436	12	*	*	PUNCT
ap-951	436	13	�	�	PROPN
ap-951	436	14	gl	gl	PROPN
ap-951	436	15	(	(	PUNCT
ap-951	436	16	,	,	PUNCT
ap-951	436	17	)	)	PUNCT
ap-951	436	18	n	n	PRON
ap-951	436	19	�	�	PROPN
ap-951	436	20	.	.	PUNCT
ap-951	437	1	the	the	DET
ap-951	437	2	et	et	NOUN
ap-951	437	3	is	be	AUX
ap-951	437	4	an	an	DET
ap-951	437	5	integrable	integrable	ADJ
ap-951	437	6	euler	euler	PROPN
ap-951	437	7	-	-	PUNCT
ap-951	437	8	arnold	arnold	PROPN
ap-951	437	9	top	top	NOUN
ap-951	437	10	.	.	PUNCT
ap-951	438	1	before	before	ADP
ap-951	438	2	defining	define	VERB
ap-951	438	3	the	the	DET
ap-951	438	4	hamiltonian	hamiltonian	ADJ
ap-951	438	5	introduce	introduce	VERB
ap-951	438	6	a	a	DET
ap-951	438	7	special	special	ADJ
ap-951	438	8	basis	basis	NOUN
ap-951	438	9	in	in	ADP
ap-951	438	10	the	the	DET
ap-951	438	11	lie	lie	NOUN
ap-951	438	12	algebra	algebra	PROPN
ap-951	438	13	gl	gl	PROPN
ap-951	438	14	(	(	PUNCT
ap-951	438	15	,	,	PUNCT
ap-951	438	16	)	)	PUNCT
ap-951	438	17	n	n	DET
ap-951	438	18	�	�	PROPN
ap-951	438	19	.	.	PUNCT
ap-951	439	1	define	define	VERB
ap-951	439	2	the	the	DET
ap-951	439	3	finite	finite	NOUN
ap-951	439	4	set	set	VERB
ap-951	439	5	�	�	PROPN
ap-951	439	6	�	�	PROPN
ap-951	439	7	�	�	PROPN
ap-951	439	8	�	�	PROPN
ap-951	439	9	�	�	PROPN
ap-951	439	10	n	n	PROPN
ap-951	439	11	n	n	CCONJ
ap-951	439	12	n	n	CCONJ
ap-951	439	13	(	(	PUNCT
ap-951	439	14	)	)	PUNCT
ap-951	439	15	(	(	PUNCT
ap-951	439	16	)	)	SYM
ap-951	439	17	2	2	NUM
ap-951	439	18	�	�	PROPN
ap-951	439	19	�	�	PROPN
ap-951	439	20	,	,	PUNCT
ap-951	439	21	~	~	PUNCT
ap-951	439	22	(	(	PUNCT
ap-951	439	23	)	)	PUNCT
ap-951	439	24	\	\	NOUN
ap-951	440	1	(	(	PUNCT
ap-951	440	2	,	,	PUNCT
ap-951	440	3	)	)	PUNCT
ap-951	440	4	(	(	PUNCT
ap-951	440	5	)	)	PUNCT
ap-951	440	6	�	�	PROPN
ap-951	440	7	�	�	PROPN
ap-951	440	8	�	�	PROPN
ap-951	440	9	�	�	PROPN
ap-951	440	10	�	�	PROPN
ap-951	440	11	n	n	CCONJ
ap-951	440	12	n	n	NOUN
ap-951	440	13	n2	n2	NOUN
ap-951	440	14	0	0	NUM
ap-951	440	15	0	0	NUM
ap-951	440	16	�	�	PROPN
ap-951	440	17	�	�	PROPN
ap-951	441	1	and	and	CCONJ
ap-951	441	2	let	let	VERB
ap-951	441	3	en	en	INTJ
ap-951	441	4	i	i	PRON
ap-951	441	5	nx	nx	NOUN
ap-951	441	6	x	x	X
ap-951	441	7	(	(	PUNCT
ap-951	441	8	)	)	PUNCT
ap-951	441	9	exp	exp	NOUN
ap-951	441	10	�	�	PROPN
ap-951	441	11	2	2	NUM
ap-951	441	12	�	�	PROPN
ap-951	441	13	.	.	PUNCT
ap-951	442	1	then	then	ADV
ap-951	442	2	a	a	DET
ap-951	442	3	basis	basis	NOUN
ap-951	442	4	is	be	AUX
ap-951	442	5	generated	generate	VERB
ap-951	442	6	by	by	ADP
ap-951	442	7	n2	n2	ADJ
ap-951	442	8	1	1	NUM
ap-951	442	9	�	�	PROPN
ap-951	442	10	matrices	matrix	NOUN
ap-951	442	11	©	©	PROPN
ap-951	442	12	czech	czech	PROPN
ap-951	442	13	technical	technical	PROPN
ap-951	442	14	university	university	PROPN
ap-951	442	15	publishing	publishing	NOUN
ap-951	442	16	house	house	NOUN
ap-951	442	17	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-951	442	18	13	13	NUM
ap-951	442	19	acta	acta	PROPN
ap-951	442	20	polytechnica	polytechnica	PROPN
ap-951	442	21	vol	vol	NOUN
ap-951	442	22	.	.	PUNCT
ap-951	443	1	48	48	NUM
ap-951	443	2	no	no	NOUN
ap-951	443	3	.	.	PUNCT
ap-951	444	1	2/2008	2/2008	PROPN
ap-951	444	2	t	t	PROPN
ap-951	445	1	n	n	PROPN
ap-951	446	1	i	i	PRON
ap-951	446	2	qn	qn	PROPN
ap-951	446	3	�	�	PROPN
ap-951	446	4	�	�	PROPN
ap-951	446	5	�	�	PROPN
ap-951	446	6	�	�	PROPN
ap-951	446	7	�	�	PROPN
ap-951	446	8	�	�	PROPN
ap-951	446	9	�	�	PROPN
ap-951	446	10	�	�	PROPN
ap-951	446	11	�	�	PROPN
ap-951	446	12	�	�	PROPN
ap-951	446	13	�	�	PROPN
ap-951	446	14	�	�	PROPN
ap-951	446	15	�	�	PROPN
ap-951	446	16	2	2	NUM
ap-951	446	17	2	2	NUM
ap-951	446	18	1	1	NUM
ap-951	446	19	2	2	NUM
ap-951	446	20	1	1	NUM
ap-951	446	21	2e	2e	PROPN
ap-951	446	22	�	�	PROPN
ap-951	446	23	,	,	PUNCT
ap-951	446	24	�	�	PROPN
ap-951	446	25	�	�	PROPN
ap-951	446	26	�	�	PROPN
ap-951	446	27	�	�	PROPN
ap-951	446	28	�	�	PROPN
ap-951	446	29	(	(	PUNCT
ap-951	446	30	,	,	PUNCT
ap-951	446	31	)	)	PUNCT
ap-951	446	32	~	~	PUNCT
ap-951	446	33	(	(	PUNCT
ap-951	446	34	)	)	PUNCT
ap-951	446	35	1	1	NUM
ap-951	446	36	2	2	NUM
ap-951	446	37	2	2	NUM
ap-951	446	38	�	�	NOUN
ap-951	446	39	n	n	NOUN
ap-951	446	40	,	,	PUNCT
ap-951	446	41	where	where	SCONJ
ap-951	446	42	q	q	PUNCT
ap-951	446	43	nn	nn	PROPN
ap-951	446	44	n	n	CCONJ
ap-951	446	45	�	�	PROPN
ap-951	446	46	�	�	PROPN
ap-951	446	47	diag	diag	PROPN
ap-951	446	48	(	(	PUNCT
ap-951	446	49	,	,	PUNCT
ap-951	446	50	(	(	PUNCT
ap-951	446	51	)	)	PUNCT
ap-951	446	52	,	,	PUNCT
ap-951	446	53	,	,	PUNCT
ap-951	446	54	(	(	PUNCT
ap-951	446	55	)	)	PUNCT
ap-951	446	56	)	)	PUNCT
ap-951	446	57	1	1	NUM
ap-951	446	58	1	1	NUM
ap-951	446	59	1e	1e	NUM
ap-951	446	60	e	e	X
ap-951	446	61	�	�	PROPN
ap-951	446	62	,	,	PUNCT
ap-951	446	63	(	(	PUNCT
ap-951	446	64	4.37	4.37	NUM
ap-951	446	65	)	)	PUNCT
ap-951	446	66	�	�	PROPN
ap-951	446	67	�	�	PROPN
ap-951	446	68	�	�	PROPN
ap-951	446	69	�	�	PROPN
ap-951	446	70	ej	ej	PROPN
ap-951	446	71	j	j	PROPN
ap-951	446	72	j	j	PROPN
ap-951	446	73	n	n	CCONJ
ap-951	446	74	n	n	PROPN
ap-951	446	75	,	,	PUNCT
ap-951	446	76	,	,	PUNCT
ap-951	446	77	,	,	PUNCT
ap-951	446	78	(	(	PUNCT
ap-951	446	79	mod	mod	PROPN
ap-951	446	80	)	)	PUNCT
ap-951	446	81	1	1	NUM
ap-951	446	82	1	1	NUM
ap-951	446	83	(	(	PUNCT
ap-951	446	84	4.38	4.38	NUM
ap-951	446	85	)	)	PUNCT
ap-951	446	86	the	the	DET
ap-951	446	87	commutation	commutation	NOUN
ap-951	446	88	relations	relation	NOUN
ap-951	446	89	in	in	ADP
ap-951	446	90	this	this	DET
ap-951	446	91	basis	basis	NOUN
ap-951	446	92	have	have	VERB
ap-951	446	93	a	a	DET
ap-951	446	94	simple	simple	ADJ
ap-951	446	95	form	form	NOUN
ap-951	446	96	[	[	PUNCT
ap-951	446	97	,	,	PUNCT
ap-951	446	98	]	]	PUNCT
ap-951	446	99	sin	sin	NOUN
ap-951	446	100	(	(	PUNCT
ap-951	446	101	)	)	PUNCT
ap-951	446	102	t	t	PROPN
ap-951	446	103	t	t	PROPN
ap-951	446	104	n	n	CCONJ
ap-951	446	105	n	n	PROPN
ap-951	446	106	t	t	PROPN
ap-951	446	107	�	�	PROPN
ap-951	446	108	�	�	PROPN
ap-951	446	109	�	�	PROPN
ap-951	446	110	�	�	PROPN
ap-951	446	111	�	�	PROPN
ap-951	446	112	�	�	PROPN
ap-951	446	113	�	�	PROPN
ap-951	446	114	�	�	PROPN
ap-951	446	115	�	�	PROPN
ap-951	446	116	.	.	PUNCT
ap-951	447	1	let	let	VERB
ap-951	447	2	s	s	PRON
ap-951	447	3	�	�	PROPN
ap-951	447	4	�	�	PROPN
ap-951	447	5	�	�	PROPN
ap-951	447	6	�	�	PROPN
ap-951	447	7	s	s	PART
ap-951	447	8	t	t	PROPN
ap-951	447	9	n	n	SYM
ap-951	447	10	�	�	PROPN
ap-951	447	11	�	�	PROPN
ap-951	447	12	�	�	PROPN
ap-951	447	13	�	�	PROPN
ap-951	447	14	(	(	PUNCT
ap-951	447	15	)	)	PUNCT
ap-951	447	16	\	\	PROPN
ap-951	447	17	(	(	PUNCT
ap-951	447	18	,	,	PUNCT
ap-951	447	19	)	)	PUNCT
ap-951	447	20	*	*	PUNCT
ap-951	447	21	2	2	NUM
ap-951	447	22	0	0	NUM
ap-951	447	23	0	0	NUM
ap-951	447	24	g	g	NOUN
ap-951	447	25	.	.	PUNCT
ap-951	448	1	the	the	DET
ap-951	448	2	poisson	poisson	NOUN
ap-951	448	3	brackets	bracket	NOUN
ap-951	448	4	for	for	ADP
ap-951	448	5	the	the	DET
ap-951	448	6	linear	linear	PROPN
ap-951	448	7	functions	function	NOUN
ap-951	448	8	s	s	PART
ap-951	448	9	�	�	NOUN
ap-951	448	10	come	come	VERB
ap-951	448	11	from	from	ADP
ap-951	448	12	the	the	DET
ap-951	448	13	lie	lie	NOUN
ap-951	448	14	brackets	bracket	NOUN
ap-951	448	15	�	�	PROPN
ap-951	448	16	�	�	PROPN
ap-951	448	17	s	s	PART
ap-951	448	18	s	s	NOUN
ap-951	448	19	n	n	CCONJ
ap-951	448	20	n	n	PRON
ap-951	448	21	s	s	PROPN
ap-951	448	22	�	�	PROPN
ap-951	448	23	�	�	PROPN
ap-951	448	24	�	�	PROPN
ap-951	448	25	�	�	PROPN
ap-951	448	26	�	�	PROPN
ap-951	448	27	�	�	PROPN
ap-951	448	28	�	�	PROPN
ap-951	448	29	�	�	PROPN
ap-951	448	30	,	,	PUNCT
ap-951	448	31	sin	sin	NOUN
ap-951	448	32	(	(	PUNCT
ap-951	448	33	)	)	PUNCT
ap-951	448	34	�	�	PROPN
ap-951	448	35	.	.	PUNCT
ap-951	449	1	the	the	DET
ap-951	449	2	phase	phase	NOUN
ap-951	449	3	space	space	NOUN
ap-951	449	4	�	�	PROPN
ap-951	449	5	et	et	PROPN
ap-951	449	6	of	of	ADP
ap-951	449	7	the	the	DET
ap-951	449	8	et	et	NOUN
ap-951	449	9	is	be	AUX
ap-951	449	10	a	a	DET
ap-951	449	11	coadjoint	coadjoint	NOUN
ap-951	449	12	orbit	orbit	NOUN
ap-951	449	13	�	�	PROPN
ap-951	449	14	�	�	PROPN
ap-951	449	15	�	�	PROPN
ap-951	449	16	et	et	NOUN
ap-951	449	17	g	g	PROPN
ap-951	449	18	g	g	PROPN
ap-951	449	19	g	g	PROPN
ap-951	449	20	n~	n~	PROPN
ap-951	449	21	,	,	PUNCT
ap-951	449	22	(	(	PUNCT
ap-951	449	23	,	,	PUNCT
ap-951	449	24	)	)	PUNCT
ap-951	449	25	*	*	PUNCT
ap-951	449	26	�	�	PROPN
ap-951	449	27	�	�	PROPN
ap-951	449	28	�	�	PROPN
ap-951	449	29	�	�	PROPN
ap-951	449	30	�	�	PROPN
ap-951	449	31	s	s	PART
ap-951	449	32	s	s	NOUN
ap-951	449	33	sg	sg	NOUN
ap-951	449	34	0	0	NUM
ap-951	449	35	1	1	NUM
ap-951	449	36	gl	gl	PROPN
ap-951	449	37	�	�	PROPN
ap-951	449	38	.	.	PUNCT
ap-951	450	1	a	a	DET
ap-951	450	2	particular	particular	ADJ
ap-951	450	3	orbit	orbit	NOUN
ap-951	450	4	passes	pass	VERB
ap-951	450	5	through	through	ADP
ap-951	450	6	s0	s0	PROPN
ap-951	450	7	�	�	PROPN
ap-951	450	8	j	j	PROPN
ap-951	450	9	,	,	PUNCT
ap-951	450	10	as	as	ADP
ap-951	450	11	for	for	ADP
ap-951	450	12	the	the	DET
ap-951	450	13	spinless	spinless	ADJ
ap-951	450	14	ecms	ecms	NOUN
ap-951	450	15	.	.	PUNCT
ap-951	451	1	the	the	DET
ap-951	451	2	euler	euler	PROPN
ap-951	451	3	-	-	PUNCT
ap-951	451	4	arnold	arnold	PROPN
ap-951	451	5	hamiltonian	hamiltonian	PROPN
ap-951	451	6	is	be	AUX
ap-951	451	7	defined	define	VERB
ap-951	451	8	by	by	ADP
ap-951	451	9	the	the	DET
ap-951	451	10	quadratic	quadratic	ADJ
ap-951	451	11	form	form	NOUN
ap-951	451	12	h	h	NOUN
ap-951	451	13	et	et	PROPN
ap-951	451	14	�	�	PROPN
ap-951	451	15	�	�	PROPN
ap-951	451	16	(	(	PUNCT
ap-951	451	17	1	1	NUM
ap-951	451	18	2	2	NUM
ap-951	451	19	tr	tr	VERB
ap-951	451	20	(	(	PUNCT
ap-951	451	21	(	(	PUNCT
ap-951	451	22	)	)	PUNCT
ap-951	451	23	)	)	PUNCT
ap-951	451	24	s	s	PART
ap-951	451	25	j	j	PROPN
ap-951	451	26	s	s	PROPN
ap-951	451	27	,	,	PUNCT
ap-951	451	28	where	where	SCONJ
ap-951	451	29	j	j	PROPN
ap-951	451	30	is	be	AUX
ap-951	451	31	diagonal	diagonal	ADJ
ap-951	451	32	in	in	ADP
ap-951	451	33	the	the	DET
ap-951	451	34	basis	basis	NOUN
ap-951	451	35	t	t	PROPN
ap-951	451	36	�	�	PROPN
ap-951	451	37	j	j	PROPN
ap-951	451	38	s	s	PROPN
ap-951	451	39	(	(	PUNCT
ap-951	451	40	)	)	PUNCT
ap-951	451	41	:	:	PUNCT
ap-951	452	1	,	,	PUNCT
ap-951	452	2	s	s	PROPN
ap-951	452	3	s	s	PROPN
ap-951	452	4	�	�	PROPN
ap-951	452	5	�	�	PROPN
ap-951	452	6	�	�	PROPN
ap-951	452	7	�	�	PROPN
ap-951	452	8	&	&	CCONJ
ap-951	452	9	&	&	CCONJ
ap-951	452	10	�	�	PROPN
ap-951	452	11	&	&	CCONJ
ap-951	452	12	�	�	PROPN
ap-951	452	13	�	�	PROPN
ap-951	452	14	�	�	PROPN
ap-951	452	15	�	�	PROPN
ap-951	452	16	�	�	PROPN
ap-951	452	17	�	�	PROPN
ap-951	452	18	�	�	PROPN
ap-951	452	19	�	�	PROPN
ap-951	452	20	�	�	PROPN
ap-951	452	21	�	�	PROPN
ap-951	452	22	�	�	PROPN
ap-951	452	23	1	1	NUM
ap-951	452	24	2	2	NUM
ap-951	452	25	n	n	NOUN
ap-951	452	26	,	,	PUNCT
ap-951	452	27	�	�	PROPN
ap-951	452	28	�	�	PROPN
ap-951	452	29	�	�	PROPN
ap-951	452	30	n	n	PART
ap-951	452	31	(	(	PUNCT
ap-951	452	32	)	)	PUNCT
ap-951	452	33	2	2	X
ap-951	452	34	.	.	PUNCT
ap-951	453	1	the	the	DET
ap-951	453	2	equations	equation	NOUN
ap-951	453	3	of	of	ADP
ap-951	453	4	motion	motion	NOUN
ap-951	453	5	corresponding	correspond	VERB
ap-951	453	6	to	to	ADP
ap-951	453	7	this	this	DET
ap-951	453	8	hamiltonian	hamiltonian	NOUN
ap-951	453	9	take	take	VERB
ap-951	453	10	the	the	DET
ap-951	453	11	form	form	NOUN
ap-951	453	12	�	�	PROPN
ap-951	453	13	t	t	PROPN
ap-951	453	14	eths	eth	NOUN
ap-951	453	15	s	s	PROPN
ap-951	453	16	j	j	PROPN
ap-951	453	17	s	s	PROPN
ap-951	453	18	s	s	PROPN
ap-951	453	19	�	�	PROPN
ap-951	453	20	�	�	PROPN
ap-951	453	21	{	{	PUNCT
ap-951	453	22	,	,	PUNCT
ap-951	453	23	}	}	PUNCT
ap-951	453	24	[	[	PUNCT
ap-951	453	25	(	(	PUNCT
ap-951	453	26	)	)	PUNCT
ap-951	453	27	,	,	PUNCT
ap-951	453	28	]	]	PUNCT
ap-951	453	29	,	,	PUNCT
ap-951	453	30	�	�	PROPN
ap-951	453	31	�	�	PROPN
ap-951	453	32	�	�	PROPN
ap-951	453	33	�	�	PROPN
ap-951	453	34	�	�	PROPN
ap-951	453	35	�	�	PROPN
ap-951	453	36	�	�	PROPN
ap-951	453	37	�	�	PROPN
ap-951	453	38	�	�	PROPN
ap-951	453	39	�	�	PROPN
ap-951	453	40	�	�	PROPN
ap-951	453	41	ts	ts	ADP
ap-951	453	42	n	n	PROPN
ap-951	453	43	s	s	PROPN
ap-951	453	44	s	s	X
ap-951	453	45	n	n	CCONJ
ap-951	453	46	n	n	PRON
ap-951	453	47	�	�	PROPN
ap-951	453	48	&	&	CCONJ
ap-951	453	49	�	�	PROPN
ap-951	453	50	�	�	PROPN
ap-951	453	51	�	�	PROPN
ap-951	453	52	sin	sin	NOUN
ap-951	453	53	(	(	PUNCT
ap-951	453	54	)	)	PUNCT
ap-951	453	55	~	~	PUNCT
ap-951	453	56	(	(	PUNCT
ap-951	453	57	)	)	PUNCT
ap-951	453	58	�	�	PROPN
ap-951	453	59	2	2	NUM
ap-951	453	60	.	.	PUNCT
ap-951	453	61	4.3.2	4.3.2	NUM
ap-951	453	62	field	field	NOUN
ap-951	453	63	theory	theory	NOUN
ap-951	453	64	and	and	CCONJ
ap-951	453	65	higgs	higgs	NOUN
ap-951	453	66	bundles	bundle	NOUN
ap-951	453	67	the	the	DET
ap-951	453	68	curve	curve	NOUN
ap-951	453	69	�	�	NOUN
ap-951	453	70	1,1	1,1	NUM
ap-951	453	71	is	be	AUX
ap-951	453	72	the	the	DET
ap-951	453	73	same	same	ADJ
ap-951	453	74	as	as	ADP
ap-951	453	75	for	for	ADP
ap-951	453	76	the	the	DET
ap-951	453	77	calogero	calogero	PROPN
ap-951	453	78	-	-	PUNCT
ap-951	453	79	moser	moser	PROPN
ap-951	453	80	system	system	PROPN
ap-951	453	81	.	.	PUNCT
ap-951	454	1	consider	consider	VERB
ap-951	454	2	a	a	DET
ap-951	454	3	vector	vector	NOUN
ap-951	454	4	bundle	bundle	NOUN
ap-951	454	5	e	e	NOUN
ap-951	454	6	of	of	ADP
ap-951	454	7	a	a	DET
ap-951	454	8	rank	rank	NOUN
ap-951	454	9	n	n	NOUN
ap-951	454	10	and	and	CCONJ
ap-951	454	11	degree	degree	VERB
ap-951	454	12	one	one	NUM
ap-951	454	13	over	over	ADP
ap-951	454	14	�	�	NOUN
ap-951	454	15	1,1	1,1	NUM
ap-951	454	16	.	.	PUNCT
ap-951	455	1	it	it	PRON
ap-951	455	2	is	be	AUX
ap-951	455	3	described	describe	VERB
ap-951	455	4	by	by	ADP
ap-951	455	5	its	its	PRON
ap-951	455	6	sections	section	NOUN
ap-951	455	7	s	s	PART
ap-951	455	8	s	s	NOUN
ap-951	455	9	z	z	NOUN
ap-951	455	10	z	z	PROPN
ap-951	455	11	s	s	PROPN
ap-951	455	12	z	z	PROPN
ap-951	455	13	zn	zn	NUM
ap-951	455	14	�	�	PROPN
ap-951	455	15	(	(	PUNCT
ap-951	455	16	(	(	PUNCT
ap-951	455	17	,	,	PUNCT
ap-951	455	18	)	)	PUNCT
ap-951	455	19	,	,	PUNCT
ap-951	455	20	,	,	PUNCT
ap-951	455	21	(	(	PUNCT
ap-951	455	22	,	,	PUNCT
ap-951	455	23	)	)	PUNCT
ap-951	455	24	)	)	PUNCT
ap-951	455	25	1	1	NUM
ap-951	455	26	�	�	PROPN
ap-951	455	27	with	with	ADP
ap-951	455	28	monodromies	monodromie	NOUN
ap-951	455	29	s	s	PART
ap-951	455	30	z	z	NOUN
ap-951	455	31	z	z	NOUN
ap-951	455	32	q	q	PROPN
ap-951	456	1	s	s	AUX
ap-951	456	2	z	z	NOUN
ap-951	456	3	zt	zt	PROPN
ap-951	456	4	t	t	PROPN
ap-951	456	5	(	(	PUNCT
ap-951	456	6	,	,	PUNCT
ap-951	456	7	)	)	PUNCT
ap-951	456	8	(	(	PUNCT
ap-951	456	9	,	,	PUNCT
ap-951	456	10	)	)	PUNCT
ap-951	456	11	�	�	PROPN
ap-951	456	12	�	�	PROPN
ap-951	456	13	1	1	NUM
ap-951	456	14	1	1	NUM
ap-951	456	15	1	1	NUM
ap-951	456	16	,	,	PUNCT
ap-951	456	17	s	s	NOUN
ap-951	456	18	z	z	NOUN
ap-951	456	19	z	z	PROPN
ap-951	456	20	s	s	PROPN
ap-951	456	21	z	z	NOUN
ap-951	456	22	zt	zt	PROPN
ap-951	456	23	t	t	PROPN
ap-951	456	24	(	(	PUNCT
ap-951	456	25	,	,	PUNCT
ap-951	456	26	)	)	PUNCT
ap-951	456	27	~	~	PUNCT
ap-951	456	28	(	(	PUNCT
ap-951	456	29	,	,	PUNCT
ap-951	456	30	)	)	PUNCT
ap-951	456	31	�	�	PROPN
ap-951	456	32	�	�	PROPN
ap-951	456	33	�	�	PROPN
ap-951	456	34	�	�	PROPN
ap-951	456	35	�	�	PROPN
ap-951	456	36	1	1	NUM
ap-951	456	37	,	,	PUNCT
ap-951	456	38	(	(	PUNCT
ap-951	456	39	4.39	4.39	NUM
ap-951	456	40	)	)	PUNCT
ap-951	456	41	where	where	SCONJ
ap-951	456	42	q	q	NOUN
ap-951	456	43	is	be	AUX
ap-951	456	44	(	(	PUNCT
ap-951	456	45	4.37	4.37	NUM
ap-951	456	46	)	)	PUNCT
ap-951	456	47	,	,	PUNCT
ap-951	456	48	~	~	PUNCT
ap-951	456	49	(	(	PUNCT
ap-951	456	50	)	)	PUNCT
ap-951	456	51	�	�	PROPN
ap-951	456	52	�	�	PROPN
ap-951	456	53	�	�	PROPN
ap-951	456	54	�	�	PROPN
ap-951	456	55	en	en	ADP
ap-951	456	56	z	z	PROPN
ap-951	456	57	�	�	PROPN
ap-951	456	58	2	2	NUM
ap-951	456	59	,	,	PUNCT
ap-951	456	60	and	and	CCONJ
ap-951	456	61	�	�	PROPN
ap-951	456	62	is	be	AUX
ap-951	456	63	(	(	PUNCT
ap-951	456	64	4.38	4.38	NUM
ap-951	456	65	)	)	PUNCT
ap-951	456	66	.	.	PUNCT
ap-951	457	1	since	since	SCONJ
ap-951	457	2	det	det	PROPN
ap-951	457	3	q	q	PROPN
ap-951	457	4	�	�	PROPN
ap-951	457	5	)	)	PUNCT
ap-951	457	6	1	1	NUM
ap-951	457	7	and	and	CCONJ
ap-951	457	8	det	det	X
ap-951	457	9	~	~	PUNCT
ap-951	457	10	(	(	PUNCT
ap-951	457	11	)	)	PUNCT
ap-951	457	12	�	�	PROPN
ap-951	457	13	�	�	PROPN
ap-951	457	14	)	)	PUNCT
ap-951	457	15	�	�	PROPN
ap-951	457	16	e1	e1	PROPN
ap-951	457	17	2z	2z	NUM
ap-951	457	18	�	�	PROPN
ap-951	457	19	the	the	DET
ap-951	457	20	determinants	determinant	NOUN
ap-951	457	21	of	of	ADP
ap-951	457	22	the	the	DET
ap-951	457	23	transition	transition	NOUN
ap-951	457	24	matrices	matrix	NOUN
ap-951	457	25	have	have	VERB
ap-951	457	26	the	the	DET
ap-951	457	27	same	same	ADJ
ap-951	457	28	quasi	quasi	NOUN
ap-951	457	29	-	-	NOUN
ap-951	457	30	periods	period	NOUN
ap-951	457	31	as	as	ADP
ap-951	457	32	the	the	DET
ap-951	457	33	jacobi	jacobi	PROPN
ap-951	457	34	theta	theta	NOUN
ap-951	457	35	-	-	PUNCT
ap-951	457	36	functions	function	NOUN
ap-951	457	37	.	.	PUNCT
ap-951	458	1	the	the	DET
ap-951	458	2	theta	theta	NOUN
ap-951	458	3	-	-	PUNCT
ap-951	458	4	functions	function	NOUN
ap-951	458	5	have	have	VERB
ap-951	458	6	a	a	DET
ap-951	458	7	simple	simple	ADJ
ap-951	458	8	pole	pole	NOUN
ap-951	458	9	on	on	ADP
ap-951	458	10	�	�	NOUN
ap-951	458	11	1,1	1,1	NUM
ap-951	458	12	.	.	PUNCT
ap-951	459	1	thereby	thereby	ADV
ap-951	459	2	,	,	PUNCT
ap-951	459	3	the	the	DET
ap-951	459	4	vector	vector	NOUN
ap-951	459	5	bundle	bundle	NOUN
ap-951	459	6	en	en	X
ap-951	459	7	has	have	VERB
ap-951	459	8	degree	degree	NOUN
ap-951	459	9	one	one	NUM
ap-951	459	10	.	.	PUNCT
ap-951	460	1	the	the	DET
ap-951	460	2	higgs	higgs	PROPN
ap-951	460	3	bundle	bundle	PROPN
ap-951	460	4	has	have	VERB
ap-951	460	5	the	the	DET
ap-951	460	6	same	same	ADJ
ap-951	460	7	field	field	NOUN
ap-951	460	8	content	content	NOUN
ap-951	460	9	as	as	ADP
ap-951	460	10	ecms	ecms	PROPN
ap-951	460	11	�	�	PROPN
ap-951	460	12	�	�	PROPN
ap-951	460	13	�	�	PROPN
ap-951	460	14	�	�	PROPN
ap-951	460	15	a	a	X
ap-951	460	16	,	,	PUNCT
ap-951	460	17	,	,	PUNCT
ap-951	460	18	s	s	PART
ap-951	460	19	,	,	PUNCT
ap-951	460	20	a	a	DET
ap-951	460	21	n	n	CCONJ
ap-951	460	22	,	,	PUNCT
ap-951	460	23	(	(	PUNCT
ap-951	460	24	,	,	PUNCT
ap-951	460	25	)	)	PUNCT
ap-951	460	26	�	�	PROPN
ap-951	460	27	gl	gl	PROPN
ap-951	460	28	�	�	PROPN
ap-951	460	29	,	,	PUNCT
ap-951	460	30	s	s	PROPN
ap-951	460	31	�	�	PROPN
ap-951	460	32	.	.	PUNCT
ap-951	461	1	the	the	DET
ap-951	461	2	orbit	orbit	PROPN
ap-951	461	3	�	�	PROPN
ap-951	461	4	�	�	PROPN
ap-951	461	5	�	�	PROPN
ap-951	461	6	�	�	PROPN
ap-951	461	7	{	{	PUNCT
ap-951	461	8	,	,	PUNCT
ap-951	461	9	(	(	PUNCT
ap-951	461	10	,	,	PUNCT
ap-951	461	11	)	)	PUNCT
ap-951	461	12	}	}	PUNCT
ap-951	461	13	s	s	VERB
ap-951	461	14	sg	sg	ADP
ap-951	461	15	g	g	PROPN
ap-951	461	16	g	g	PROPN
ap-951	461	17	n1	n1	PROPN
ap-951	461	18	0	0	NUM
ap-951	461	19	gl	gl	PROPN
ap-951	461	20	�	�	PROPN
ap-951	461	21	is	be	AUX
ap-951	461	22	located	locate	VERB
ap-951	461	23	at	at	ADP
ap-951	461	24	the	the	DET
ap-951	461	25	marked	marked	ADJ
ap-951	461	26	point	point	NOUN
ap-951	461	27	z	z	X
ap-951	461	28	�	�	PROPN
ap-951	461	29	0	0	NUM
ap-951	461	30	.	.	PUNCT
ap-951	462	1	it	it	PRON
ap-951	462	2	follows	follow	VERB
ap-951	462	3	from	from	ADP
ap-951	462	4	(	(	PUNCT
ap-951	462	5	4.39	4.39	NUM
ap-951	462	6	)	)	PUNCT
ap-951	462	7	that	that	SCONJ
ap-951	462	8	the	the	DET
ap-951	462	9	fields	field	NOUN
ap-951	462	10	,	,	PUNCT
ap-951	462	11	a	a	PRON
ap-951	462	12	have	have	VERB
ap-951	462	13	the	the	DET
ap-951	462	14	monodromies	monodromie	NOUN
ap-951	462	15	a	a	DET
ap-951	462	16	z	z	NOUN
ap-951	462	17	q	q	NOUN
ap-951	462	18	a	a	DET
ap-951	462	19	z	z	NOUN
ap-951	462	20	q	q	NOUN
ap-951	462	21	(	(	PUNCT
ap-951	462	22	)	)	PUNCT
ap-951	462	23	(	(	PUNCT
ap-951	462	24	)	)	PUNCT
ap-951	462	25	�	�	PROPN
ap-951	462	26	�	�	PROPN
ap-951	462	27	1	1	NUM
ap-951	462	28	1	1	NUM
ap-951	462	29	,	,	PUNCT
ap-951	462	30	(	(	PUNCT
ap-951	462	31	)	)	PUNCT
ap-951	462	32	(	(	PUNCT
ap-951	462	33	)	)	PUNCT
ap-951	462	34	z	z	NOUN
ap-951	462	35	q	q	PROPN
ap-951	462	36	z	z	PUNCT
ap-951	462	37	q	q	X
ap-951	462	38	�	�	PROPN
ap-951	462	39	�	�	PROPN
ap-951	462	40	1	1	NUM
ap-951	462	41	1	1	NUM
ap-951	462	42	,	,	PUNCT
ap-951	462	43	a	a	DET
ap-951	462	44	z	z	NOUN
ap-951	462	45	a	a	DET
ap-951	462	46	z	z	NOUN
ap-951	462	47	(	(	PUNCT
ap-951	462	48	)	)	PUNCT
ap-951	462	49	(	(	PUNCT
ap-951	462	50	)	)	PUNCT
ap-951	462	51	�	�	PROPN
ap-951	462	52	�	�	PROPN
ap-951	462	53	�	�	PROPN
ap-951	462	54	�	�	PROPN
ap-951	462	55	�	�	PROPN
ap-951	462	56	1	1	NUM
ap-951	462	57	,	,	PUNCT
ap-951	462	58	�	�	PROPN
ap-951	462	59	�	�	PROPN
ap-951	462	60	(	(	PUNCT
ap-951	462	61	)	)	PUNCT
ap-951	462	62	(	(	PUNCT
ap-951	462	63	)	)	PUNCT
ap-951	462	64	z	z	NOUN
ap-951	462	65	z	z	PROPN
ap-951	462	66	�	�	PROPN
ap-951	462	67	�	�	PROPN
ap-951	462	68	�	�	PROPN
ap-951	462	69	1	1	NUM
ap-951	462	70	.	.	PUNCT
ap-951	463	1	the	the	DET
ap-951	463	2	group	group	NOUN
ap-951	463	3	of	of	ADP
ap-951	463	4	the	the	DET
ap-951	463	5	automorphisms	automorphisms	PROPN
ap-951	463	6	�	�	PROPN
ap-951	463	7	�	�	PROPN
ap-951	463	8	�	�	PROPN
ap-951	463	9	{	{	PUNCT
ap-951	463	10	}	}	PUNCT
ap-951	463	11	f	f	PROPN
ap-951	463	12	of	of	ADP
ap-951	463	13	e	e	PROPN
ap-951	463	14	should	should	AUX
ap-951	463	15	have	have	VERB
ap-951	463	16	the	the	DET
ap-951	463	17	same	same	ADJ
ap-951	463	18	monodromies	monodromie	NOUN
ap-951	464	1	f	f	NOUN
ap-951	464	2	z	z	NOUN
ap-951	464	3	q	q	PROPN
ap-951	465	1	f	f	PROPN
ap-951	465	2	z	z	PROPN
ap-951	465	3	q	q	PROPN
ap-951	465	4	(	(	PUNCT
ap-951	465	5	)	)	PUNCT
ap-951	465	6	(	(	PUNCT
ap-951	465	7	)	)	PUNCT
ap-951	465	8	�	�	PROPN
ap-951	465	9	�	�	PROPN
ap-951	465	10	1	1	NUM
ap-951	465	11	1	1	NUM
ap-951	465	12	,	,	PUNCT
ap-951	465	13	f	f	PROPN
ap-951	465	14	z	z	NOUN
ap-951	465	15	f	f	PROPN
ap-951	466	1	z	z	X
ap-951	466	2	(	(	PUNCT
ap-951	466	3	)	)	PUNCT
ap-951	466	4	(	(	PUNCT
ap-951	466	5	)	)	PUNCT
ap-951	466	6	�	�	PROPN
ap-951	466	7	�	�	PROPN
ap-951	466	8	�	�	PROPN
ap-951	466	9	�	�	PROPN
ap-951	466	10	�	�	PROPN
ap-951	466	11	1	1	NUM
ap-951	466	12	.	.	PUNCT
ap-951	467	1	due	due	ADP
ap-951	467	2	to	to	ADP
ap-951	467	3	the	the	DET
ap-951	467	4	monodromy	monodromy	NOUN
ap-951	467	5	conditions	condition	NOUN
ap-951	467	6	the	the	DET
ap-951	467	7	generic	generic	ADJ
ap-951	467	8	field	field	NOUN
ap-951	467	9	a	a	PRON
ap-951	467	10	is	be	AUX
ap-951	467	11	gauge	gauge	NOUN
ap-951	467	12	equivalent	equivalent	ADJ
ap-951	467	13	to	to	ADP
ap-951	467	14	the	the	DET
ap-951	467	15	trivial	trivial	ADJ
ap-951	467	16	f	f	NOUN
ap-951	467	17	af	af	PROPN
ap-951	467	18	f	f	PROPN
ap-951	467	19	f	f	X
ap-951	467	20	�	�	PROPN
ap-951	467	21	�	�	PROPN
ap-951	467	22	�	�	PROPN
ap-951	467	23	1	1	NUM
ap-951	467	24	1	1	NUM
ap-951	467	25	0	0	NUM
ap-951	467	26	�	�	PROPN
ap-951	467	27	.	.	PUNCT
ap-951	468	1	therefore	therefore	ADV
ap-951	468	2	a	a	DET
ap-951	468	3	f	f	X
ap-951	468	4	a	a	DET
ap-951	468	5	f	f	PROPN
ap-951	468	6	a	a	DET
ap-951	468	7	�	�	PROPN
ap-951	468	8	�	�	PROPN
ap-951	468	9	�	�	PROPN
ap-951	468	10	�	�	PROPN
ap-951	468	11	[	[	PUNCT
ap-951	468	12	]	]	X
ap-951	468	13	[	[	PUNCT
ap-951	468	14	]	]	X
ap-951	468	15	1	1	NUM
ap-951	468	16	.	.	PUNCT
ap-951	469	1	(	(	PUNCT
ap-951	469	2	4.40	4.40	NUM
ap-951	469	3	)	)	PUNCT
ap-951	469	4	this	this	PRON
ap-951	469	5	allows	allow	VERB
ap-951	469	6	us	we	PRON
ap-951	469	7	to	to	PART
ap-951	469	8	choose	choose	VERB
ap-951	469	9	a	a	DET
ap-951	469	10	�	�	NOUN
ap-951	469	11	0	0	NUM
ap-951	469	12	as	as	ADP
ap-951	469	13	an	an	DET
ap-951	469	14	appropriate	appropriate	ADJ
ap-951	469	15	gauge	gauge	NOUN
ap-951	469	16	.	.	PUNCT
ap-951	470	1	it	it	PRON
ap-951	470	2	means	mean	VERB
ap-951	470	3	that	that	SCONJ
ap-951	470	4	there	there	PRON
ap-951	470	5	are	be	VERB
ap-951	470	6	no	no	DET
ap-951	470	7	moduli	moduli	NOUN
ap-951	470	8	of	of	ADP
ap-951	470	9	holomorphic	holomorphic	ADJ
ap-951	470	10	vector	vector	NOUN
ap-951	470	11	bundles	bundle	NOUN
ap-951	470	12	.	.	PUNCT
ap-951	471	1	more	more	ADV
ap-951	471	2	precisely	precisely	ADV
ap-951	471	3	,	,	PUNCT
ap-951	471	4	the	the	DET
ap-951	471	5	holomorphic	holomorphic	ADJ
ap-951	471	6	moduli	modulus	NOUN
ap-951	471	7	are	be	AUX
ap-951	471	8	related	relate	VERB
ap-951	471	9	only	only	ADV
ap-951	471	10	to	to	ADP
ap-951	471	11	the	the	DET
ap-951	471	12	quasi	quasi	ADJ
ap-951	471	13	-	-	ADJ
ap-951	471	14	parabolic	parabolic	ADJ
ap-951	471	15	structure	structure	NOUN
ap-951	471	16	of	of	ADP
ap-951	471	17	e	e	PROPN
ap-951	471	18	related	relate	VERB
ap-951	471	19	to	to	ADP
ap-951	471	20	the	the	DET
ap-951	471	21	spin	spin	NOUN
ap-951	471	22	variables	variable	VERB
ap-951	471	23	s.	s.	PROPN
ap-951	472	1	the	the	DET
ap-951	472	2	monodromies	monodromie	NOUN
ap-951	472	3	of	of	ADP
ap-951	472	4	the	the	DET
ap-951	472	5	gauge	gauge	NOUN
ap-951	472	6	matrices	matrix	NOUN
ap-951	472	7	prevent	prevent	VERB
ap-951	472	8	the	the	DET
ap-951	472	9	existence	existence	NOUN
ap-951	472	10	of	of	ADP
ap-951	472	11	nontrivial	nontrivial	ADJ
ap-951	472	12	residual	residual	ADJ
ap-951	472	13	gauge	gauge	NOUN
ap-951	472	14	symmetries	symmetry	NOUN
ap-951	472	15	.	.	PUNCT
ap-951	473	1	let	let	VERB
ap-951	473	2	f	f	PROPN
ap-951	473	3	a	a	DET
ap-951	473	4	z	z	NOUN
ap-951	473	5	z	z	X
ap-951	473	6	[	[	PUNCT
ap-951	473	7	]	]	X
ap-951	473	8	(	(	PUNCT
ap-951	473	9	,	,	PUNCT
ap-951	473	10	)	)	PUNCT
ap-951	473	11	be	be	AUX
ap-951	473	12	a	a	DET
ap-951	473	13	solution	solution	NOUN
ap-951	473	14	of	of	ADP
ap-951	473	15	(	(	PUNCT
ap-951	473	16	4.40	4.40	NUM
ap-951	473	17	)	)	PUNCT
ap-951	473	18	.	.	PUNCT
ap-951	474	1	consider	consider	VERB
ap-951	474	2	the	the	DET
ap-951	474	3	transformation	transformation	NOUN
ap-951	474	4	of	of	ADP
ap-951	474	5	by	by	ADP
ap-951	474	6	solutions	solution	NOUN
ap-951	474	7	of	of	ADP
ap-951	474	8	(	(	PUNCT
ap-951	474	9	4.40	4.40	NUM
ap-951	474	10	)	)	PUNCT
ap-951	474	11	l	l	NOUN
ap-951	474	12	a	a	DET
ap-951	474	13	g	g	NOUN
ap-951	474	14	z	z	PROPN
ap-951	474	15	z	z	NOUN
ap-951	474	16	f	f	PROPN
ap-951	475	1	a	a	DET
ap-951	475	2	z	z	NOUN
ap-951	475	3	z	z	NOUN
ap-951	475	4	f	f	PROPN
ap-951	476	1	a	a	DET
ap-951	476	2	z	z	X
ap-951	476	3	zet	zet	PROPN
ap-951	476	4	[	[	PUNCT
ap-951	476	5	,	,	PUNCT
ap-951	476	6	]	]	X
ap-951	476	7	(	(	PUNCT
ap-951	476	8	,	,	PUNCT
ap-951	476	9	)	)	PUNCT
ap-951	477	1	[	[	PUNCT
ap-951	477	2	]	]	X
ap-951	477	3	(	(	PUNCT
ap-951	477	4	,	,	PUNCT
ap-951	477	5	)	)	PUNCT
ap-951	477	6	[	[	PUNCT
ap-951	477	7	]	]	X
ap-951	477	8	(	(	PUNCT
ap-951	477	9	,	,	PUNCT
ap-951	477	10	)	)	PUNCT
ap-951	477	11	�	�	PROPN
ap-951	477	12	�	�	PROPN
ap-951	477	13	1	1	NUM
ap-951	477	14	(	(	PUNCT
ap-951	477	15	4.41	4.41	NUM
ap-951	477	16	)	)	PUNCT
ap-951	477	17	the	the	DET
ap-951	477	18	moment	moment	NOUN
ap-951	477	19	constraints	constraint	NOUN
ap-951	477	20	(	(	PUNCT
ap-951	477	21	4.14	4.14	NUM
ap-951	477	22	)	)	PUNCT
ap-951	477	23	take	take	VERB
ap-951	477	24	the	the	DET
ap-951	477	25	form	form	NOUN
ap-951	477	26	�	�	PROPN
ap-951	477	27	�	�	PROPN
ap-951	477	28	l	l	PROPN
ap-951	477	29	z	z	PROPN
ap-951	477	30	zet	zet	PROPN
ap-951	477	31	�	�	PROPN
ap-951	477	32	(	(	PUNCT
ap-951	477	33	,	,	PUNCT
ap-951	477	34	)	)	PUNCT
ap-951	477	35	s	s	VERB
ap-951	477	36	the	the	DET
ap-951	477	37	solution	solution	NOUN
ap-951	477	38	takes	take	VERB
ap-951	477	39	the	the	DET
ap-951	477	40	form	form	NOUN
ap-951	477	41	where	where	SCONJ
ap-951	477	42	�	�	PROPN
ap-951	477	43	�	�	PROPN
ap-951	477	44	�	�	PROPN
ap-951	477	45	�	�	PROPN
ap-951	477	46	�	�	PROPN
ap-951	477	47	�	�	PROPN
ap-951	477	48	(	(	PUNCT
ap-951	477	49	)	)	PUNCT
ap-951	477	50	(	(	PUNCT
ap-951	477	51	)	)	PUNCT
ap-951	477	52	(	(	PUNCT
ap-951	477	53	,	,	PUNCT
ap-951	477	54	)	)	PUNCT
ap-951	477	55	z	z	NOUN
ap-951	477	56	z	z	NOUN
ap-951	477	57	zn	zn	PROPN
ap-951	477	58	t	t	PROPN
ap-951	477	59	n	n	CCONJ
ap-951	477	60	�	�	PROPN
ap-951	477	61	e	e	X
ap-951	477	62	2	2	NUM
ap-951	477	63	1	1	NUM
ap-951	477	64	2	2	NUM
ap-951	477	65	.	.	PUNCT
ap-951	478	1	the	the	DET
ap-951	478	2	lax	lax	ADJ
ap-951	478	3	matrix	matrix	NOUN
ap-951	478	4	was	be	AUX
ap-951	478	5	found	find	VERB
ap-951	478	6	in	in	ADP
ap-951	478	7	[	[	X
ap-951	478	8	40	40	NUM
ap-951	478	9	]	]	PUNCT
ap-951	478	10	using	use	VERB
ap-951	478	11	another	another	DET
ap-951	478	12	approach	approach	NOUN
ap-951	478	13	.	.	PUNCT
ap-951	479	1	it	it	PRON
ap-951	479	2	is	be	AUX
ap-951	479	3	the	the	DET
ap-951	479	4	lax	lax	ADJ
ap-951	479	5	matrix	matrix	NOUN
ap-951	479	6	of	of	ADP
ap-951	479	7	the	the	DET
ap-951	479	8	vertex	vertex	NOUN
ap-951	479	9	spinchain	spinchain	NOUN
ap-951	479	10	.	.	PUNCT
ap-951	480	1	the	the	DET
ap-951	480	2	lax	lax	ADJ
ap-951	480	3	matrix	matrix	NOUN
ap-951	480	4	is	be	AUX
ap-951	480	5	meromorphic	meromorphic	ADJ
ap-951	480	6	on	on	ADP
ap-951	480	7	�	�	NOUN
ap-951	480	8	1,1	1,1	NUM
ap-951	480	9	with	with	ADP
ap-951	480	10	a	a	DET
ap-951	480	11	simple	simple	ADJ
ap-951	480	12	pole	pole	NOUN
ap-951	480	13	with	with	ADP
ap-951	480	14	reslet	reslet	ADJ
ap-951	480	15	z	z	PROPN
ap-951	480	16	�	�	PROPN
ap-951	480	17	�	�	PROPN
ap-951	480	18	0	0	PROPN
ap-951	480	19	s.	s.	PROPN
ap-951	480	20	the	the	DET
ap-951	480	21	monodromies	monodromie	NOUN
ap-951	480	22	of	of	ADP
ap-951	480	23	�	�	PROPN
ap-951	480	24	�	�	PROPN
ap-951	480	25	(	(	PUNCT
ap-951	480	26	z	z	NOUN
ap-951	480	27	)	)	PUNCT
ap-951	480	28	are	be	AUX
ap-951	480	29	read	read	VERB
ap-951	480	30	off	off	ADP
ap-951	480	31	from	from	ADP
ap-951	480	32	(	(	PUNCT
ap-951	480	33	4.32	4.32	NUM
ap-951	480	34	)	)	PUNCT
ap-951	480	35	�	�	PROPN
ap-951	480	36	�	�	PROPN
ap-951	480	37	�	�	PROPN
ap-951	480	38	�	�	PROPN
ap-951	480	39	�	�	PROPN
ap-951	480	40	�	�	PROPN
ap-951	480	41	(	(	PUNCT
ap-951	480	42	)	)	PUNCT
ap-951	480	43	(	(	PUNCT
ap-951	480	44	)	)	PUNCT
ap-951	480	45	)	)	PUNCT
ap-951	480	46	z	z	NOUN
ap-951	480	47	zn	zn	NUM
ap-951	480	48	�	�	PROPN
ap-951	480	49	1	1	NUM
ap-951	480	50	2e	2e	NOUN
ap-951	480	51	,	,	PUNCT
ap-951	480	52	�	�	PROPN
ap-951	480	53	�	�	PROPN
ap-951	480	54	�	�	PROPN
ap-951	480	55	�	�	PROPN
ap-951	480	56	�	�	PROPN
ap-951	480	57	�	�	PROPN
ap-951	480	58	(	(	PUNCT
ap-951	480	59	)	)	PUNCT
ap-951	480	60	(	(	PUNCT
ap-951	480	61	)	)	PUNCT
ap-951	480	62	(	(	PUNCT
ap-951	480	63	)	)	PUNCT
ap-951	480	64	z	z	AUX
ap-951	480	65	zn	zn	PROPN
ap-951	480	66	�	�	PROPN
ap-951	480	67	�	�	PROPN
ap-951	480	68	e	e	X
ap-951	480	69	1	1	NUM
ap-951	480	70	then	then	ADV
ap-951	480	71	let	let	AUX
ap-951	480	72	have	have	AUX
ap-951	480	73	the	the	DET
ap-951	480	74	prescribed	prescribed	ADJ
ap-951	480	75	monodromies	monodromie	NOUN
ap-951	480	76	.	.	PUNCT
ap-951	481	1	the	the	DET
ap-951	481	2	reduced	reduce	VERB
ap-951	481	3	phase	phase	NOUN
ap-951	481	4	space	space	NOUN
ap-951	481	5	�	�	NOUN
ap-951	481	6	et	et	NOUN
ap-951	481	7	is	be	AUX
ap-951	481	8	the	the	DET
ap-951	481	9	coadjoint	coadjoint	NOUN
ap-951	481	10	orbit	orbit	NOUN
ap-951	481	11	:	:	PUNCT
ap-951	481	12	�	�	PROPN
ap-951	481	13	�	�	PROPN
ap-951	481	14	�	�	PROPN
ap-951	481	15	et	et	NOUN
ap-951	481	16	g	g	PROPN
ap-951	481	17	g	g	PROPN
ap-951	481	18	�	�	PROPN
ap-951	481	19	�	�	PROPN
ap-951	481	20	�	�	PROPN
ap-951	481	21	�	�	PROPN
ap-951	481	22	s	s	PART
ap-951	481	23	s0	s0	PROPN
ap-951	481	24	1	1	NUM
ap-951	481	25	,	,	PUNCT
ap-951	481	26	s	s	PROPN
ap-951	481	27	�	�	PROPN
ap-951	481	28	�	�	PROPN
ap-951	481	29	�	�	PROPN
ap-951	481	30	�	�	PROPN
ap-951	481	31	s	s	PART
ap-951	481	32	t	t	PROPN
ap-951	481	33	n	n	CCONJ
ap-951	481	34	�	�	PROPN
ap-951	481	35	�	�	PROPN
ap-951	481	36	�	�	PROPN
ap-951	481	37	g	g	PROPN
ap-951	481	38	*	*	PUNCT
ap-951	481	39	\	\	PROPN
ap-951	481	40	(	(	PUNCT
ap-951	481	41	,	,	PUNCT
ap-951	481	42	)	)	PUNCT
ap-951	481	43	(	(	PUNCT
ap-951	481	44	)	)	PUNCT
ap-951	481	45	�	�	PROPN
ap-951	481	46	2	2	NUM
ap-951	481	47	0	0	NUM
ap-951	481	48	0	0	NUM
ap-951	481	49	.	.	PUNCT
ap-951	482	1	the	the	DET
ap-951	482	2	symplectic	symplectic	ADJ
ap-951	482	3	form	form	NOUN
ap-951	482	4	on	on	ADP
ap-951	482	5	�	�	PROPN
ap-951	482	6	et	et	NOUN
ap-951	482	7	is	be	AUX
ap-951	482	8	the	the	DET
ap-951	482	9	kirillov	kirillov	NOUN
ap-951	482	10	-	-	PUNCT
ap-951	482	11	kostant	kostant	NOUN
ap-951	482	12	form	form	NOUN
ap-951	482	13	(	(	PUNCT
ap-951	482	14	4.5	4.5	NUM
ap-951	482	15	)	)	PUNCT
ap-951	482	16	.	.	PUNCT
ap-951	483	1	for	for	ADP
ap-951	483	2	a	a	DET
ap-951	483	3	particular	particular	ADJ
ap-951	483	4	choice	choice	NOUN
ap-951	483	5	of	of	ADP
ap-951	483	6	the	the	DET
ap-951	483	7	orbit	orbit	NOUN
ap-951	483	8	passing	pass	VERB
ap-951	483	9	through	through	ADP
ap-951	483	10	j	j	PROPN
ap-951	483	11	(	(	PUNCT
ap-951	483	12	refj	refj	PROPN
ap-951	483	13	)	)	PUNCT
ap-951	483	14	its	its	PRON
ap-951	483	15	dimension	dimension	NOUN
ap-951	483	16	coincide	coincide	NOUN
ap-951	483	17	with	with	ADP
ap-951	483	18	the	the	DET
ap-951	483	19	dimension	dimension	NOUN
ap-951	483	20	of	of	ADP
ap-951	483	21	the	the	DET
ap-951	483	22	phase	phase	NOUN
ap-951	483	23	of	of	ADP
ap-951	483	24	the	the	DET
ap-951	483	25	spinless	spinless	ADJ
ap-951	483	26	ecms	ecms	NOUN
ap-951	483	27	dim	dim	ADJ
ap-951	483	28	dim	dim	NOUN
ap-951	483	29	�	�	PROPN
ap-951	483	30	�	�	PROPN
ap-951	483	31	et	et	PROPN
ap-951	483	32	cms	cms	PROPN
ap-951	483	33	n	n	CCONJ
ap-951	483	34	�	�	PROPN
ap-951	483	35	�	�	PROPN
ap-951	483	36	�	�	PROPN
ap-951	483	37	2	2	NUM
ap-951	483	38	2	2	NUM
ap-951	483	39	.	.	PUNCT
ap-951	484	1	this	this	PRON
ap-951	484	2	is	be	AUX
ap-951	484	3	not	not	PART
ap-951	484	4	occasional	occasional	ADJ
ap-951	484	5	and	and	CCONJ
ap-951	484	6	we	we	PRON
ap-951	484	7	prove	prove	VERB
ap-951	484	8	below	below	ADP
ap-951	484	9	that	that	DET
ap-951	484	10	�	�	NOUN
ap-951	484	11	cm	cm	PROPN
ap-951	484	12	is	be	AUX
ap-951	484	13	symplectomorphic	symplectomorphic	ADJ
ap-951	484	14	to	to	PART
ap-951	484	15	�	�	VERB
ap-951	484	16	et	et	PROPN
ap-951	484	17	.	.	PUNCT
ap-951	485	1	since	since	SCONJ
ap-951	485	2	the	the	DET
ap-951	485	3	traces	trace	NOUN
ap-951	485	4	tr	tr	VERB
ap-951	485	5	(	(	PUNCT
ap-951	485	6	)	)	PUNCT
ap-951	485	7	let	let	VERB
ap-951	485	8	j	j	PROPN
ap-951	485	9	are	be	AUX
ap-951	485	10	double	double	ADV
ap-951	485	11	periodic	periodic	ADJ
ap-951	485	12	and	and	CCONJ
ap-951	485	13	have	have	VERB
ap-951	485	14	poles	pole	NOUN
ap-951	485	15	at	at	ADP
ap-951	485	16	z	z	PROPN
ap-951	485	17	�	�	PROPN
ap-951	485	18	0	0	NUM
ap-951	486	1	the	the	DET
ap-951	486	2	integrals	integral	NOUN
ap-951	486	3	of	of	ADP
ap-951	486	4	motion	motion	NOUN
ap-951	486	5	come	come	VERB
ap-951	486	6	from	from	ADP
ap-951	486	7	the	the	DET
ap-951	486	8	expansion	expansion	NOUN
ap-951	486	9	(	(	PUNCT
ap-951	486	10	see	see	VERB
ap-951	486	11	(	(	PUNCT
ap-951	486	12	4.36	4.36	NUM
ap-951	486	13	)	)	PUNCT
ap-951	486	14	)	)	PUNCT
ap-951	486	15	14	14	NUM
ap-951	487	1	©	©	PROPN
ap-951	487	2	czech	czech	PROPN
ap-951	487	3	technical	technical	PROPN
ap-951	487	4	university	university	PROPN
ap-951	487	5	publishing	publishing	NOUN
ap-951	487	6	house	house	NOUN
ap-951	487	7	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-951	487	8	acta	acta	PROPN
ap-951	487	9	polytechnica	polytechnica	PROPN
ap-951	487	10	vol	vol	NOUN
ap-951	487	11	.	.	PUNCT
ap-951	488	1	48	48	NUM
ap-951	488	2	no	no	NOUN
ap-951	488	3	.	.	PUNCT
ap-951	489	1	2/2008	2/2008	NUM
ap-951	489	2	l	l	NOUN
ap-951	489	3	s	s	PART
ap-951	489	4	z	z	PROPN
ap-951	489	5	tet	tet	NOUN
ap-951	489	6	n	n	CCONJ
ap-951	489	7	�	�	PROPN
ap-951	489	8	�	�	PROPN
ap-951	489	9	�	�	PROPN
ap-951	489	10	�	�	PROPN
ap-951	489	11	�	�	PROPN
ap-951	489	12	�	�	PROPN
ap-951	489	13	�	�	PROPN
ap-951	489	14	�	�	PROPN
ap-951	489	15	(	(	PUNCT
ap-951	489	16	)	)	PUNCT
ap-951	489	17	(	(	PUNCT
ap-951	489	18	)	)	PUNCT
ap-951	489	19	\	\	PROPN
ap-951	489	20	(	(	PUNCT
ap-951	489	21	,	,	PUNCT
ap-951	489	22	)	)	PUNCT
ap-951	489	23	�	�	PROPN
ap-951	490	1	2	2	NUM
ap-951	490	2	0	0	NUM
ap-951	490	3	0	0	NUM
ap-951	490	4	,	,	PUNCT
ap-951	490	5	tr	tr	VERB
ap-951	490	6	(	(	PUNCT
ap-951	490	7	(	(	PUNCT
ap-951	490	8	)	)	PUNCT
ap-951	490	9	)	)	PUNCT
ap-951	490	10	(	(	PUNCT
ap-951	490	11	)	)	PUNCT
ap-951	490	12	(	(	PUNCT
ap-951	490	13	)	)	PUNCT
ap-951	490	14	,	,	PUNCT
ap-951	490	15	,	,	PUNCT
ap-951	490	16	,	,	PUNCT
ap-951	490	17	(	(	PUNCT
ap-951	490	18	)	)	PUNCT
ap-951	490	19	l	l	NOUN
ap-951	490	20	z	z	NOUN
ap-951	491	1	i	i	PRON
ap-951	491	2	i	i	PRON
ap-951	491	3	z	z	VERB
ap-951	492	1	i	i	PRON
ap-951	492	2	zet	zet	VERB
ap-951	493	1	k	k	PROPN
ap-951	493	2	k	k	PROPN
ap-951	494	1	k	k	PROPN
ap-951	494	2	k	k	PROPN
ap-951	494	3	k	k	PROPN
ap-951	494	4	k	k	PROPN
ap-951	494	5	�	�	PROPN
ap-951	494	6	&	&	CCONJ
ap-951	494	7	&	&	CCONJ
ap-951	494	8	�	�	PROPN
ap-951	494	9	0	0	NUM
ap-951	494	10	2	2	NUM
ap-951	494	11	2	2	NUM
ap-951	494	12	�	�	PROPN
ap-951	494	13	in	in	ADP
ap-951	494	14	particular	particular	ADJ
ap-951	494	15	,	,	PUNCT
ap-951	494	16	tr	tr	VERB
ap-951	494	17	(	(	PUNCT
ap-951	494	18	)	)	PUNCT
ap-951	494	19	(	(	PUNCT
ap-951	494	20	)	)	PUNCT
ap-951	495	1	l	l	NOUN
ap-951	495	2	h	h	NOUN
ap-951	496	1	c	c	NOUN
ap-951	496	2	zet	zet	PROPN
ap-951	496	3	et2	et2	PROPN
ap-951	496	4	2	2	NUM
ap-951	496	5	�	�	PROPN
ap-951	496	6	&	&	CCONJ
ap-951	496	7	.	.	PUNCT
ap-951	497	1	the	the	DET
ap-951	497	2	coefficients	coefficient	NOUN
ap-951	497	3	is	be	AUX
ap-951	497	4	,	,	PUNCT
ap-951	497	5	k	k	PROPN
ap-951	497	6	are	be	AUX
ap-951	497	7	in	in	ADP
ap-951	497	8	involution	involution	NOUN
ap-951	497	9	�	�	PROPN
ap-951	497	10	�	�	PROPN
ap-951	497	11	i	i	PROPN
ap-951	497	12	s	s	PROPN
ap-951	497	13	k	k	PROPN
ap-951	497	14	j	j	PROPN
ap-951	497	15	,	,	PUNCT
ap-951	497	16	,	,	PUNCT
ap-951	497	17	,	,	PUNCT
ap-951	497	18	i	i	PRON
ap-951	497	19	m	m	VERB
ap-951	497	20	�	�	PROPN
ap-951	497	21	0	0	NUM
ap-951	497	22	.	.	PUNCT
ap-951	498	1	in	in	ADP
ap-951	498	2	particular	particular	ADJ
ap-951	498	3	,	,	PUNCT
ap-951	498	4	all	all	DET
ap-951	498	5	functions	function	NOUN
ap-951	498	6	is	be	AUX
ap-951	498	7	,	,	PUNCT
ap-951	498	8	k	k	PROPN
ap-951	498	9	poisson	poisson	PROPN
ap-951	498	10	commute	commute	VERB
ap-951	498	11	with	with	ADP
ap-951	498	12	the	the	DET
ap-951	498	13	hamiltonian	hamiltonian	PROPN
ap-951	498	14	het	het	PROPN
ap-951	498	15	.	.	PUNCT
ap-951	499	1	therefore	therefore	ADV
ap-951	499	2	,	,	PUNCT
ap-951	499	3	they	they	PRON
ap-951	499	4	play	play	VERB
ap-951	499	5	the	the	DET
ap-951	499	6	role	role	NOUN
ap-951	499	7	of	of	ADP
ap-951	499	8	conservation	conservation	NOUN
ap-951	499	9	laws	law	NOUN
ap-951	499	10	of	of	ADP
ap-951	499	11	elliptic	elliptic	ADJ
ap-951	499	12	rotator	rotator	NOUN
ap-951	499	13	hierarchy	hierarchy	NOUN
ap-951	499	14	on	on	ADP
ap-951	499	15	gl(n	gl(n	NUM
ap-951	499	16	,	,	PUNCT
ap-951	499	17	�	�	PROPN
ap-951	499	18	)	)	PUNCT
ap-951	499	19	.	.	PUNCT
ap-951	500	1	we	we	PRON
ap-951	500	2	have	have	VERB
ap-951	500	3	a	a	DET
ap-951	500	4	tower	tower	NOUN
ap-951	500	5	of	of	ADP
ap-951	500	6	n	n	PRON
ap-951	500	7	n	n	CCONJ
ap-951	500	8	(	(	PUNCT
ap-951	500	9	)	)	PUNCT
ap-951	500	10	1	1	NUM
ap-951	500	11	2	2	NUM
ap-951	500	12	independent	independent	ADJ
ap-951	500	13	integrals	integral	NOUN
ap-951	500	14	of	of	ADP
ap-951	500	15	motion	motion	NOUN
ap-951	501	1	i	i	PRON
ap-951	502	1	i	i	PRON
ap-951	503	1	i	i	PRON
ap-951	504	1	i	i	PRON
ap-951	505	1	i	i	PRON
ap-951	506	1	i	i	VERB
ap-951	507	1	i	i	PRON
ap-951	507	2	in	in	ADP
ap-951	507	3	n	n	CCONJ
ap-951	507	4	n	n	CCONJ
ap-951	507	5	n	n	ADV
ap-951	507	6	0	0	NUM
ap-951	507	7	2	2	NUM
ap-951	507	8	2	2	NUM
ap-951	507	9	2	2	NUM
ap-951	507	10	0	0	NUM
ap-951	507	11	3	3	NUM
ap-951	507	12	2	2	NUM
ap-951	507	13	3	3	NUM
ap-951	507	14	3	3	NUM
ap-951	507	15	3	3	NUM
ap-951	507	16	0	0	NUM
ap-951	507	17	2	2	NUM
ap-951	507	18	,	,	PUNCT
ap-951	507	19	,	,	PUNCT
ap-951	507	20	,	,	PUNCT
ap-951	507	21	,	,	PUNCT
ap-951	507	22	,	,	PUNCT
ap-951	507	23	,	,	PUNCT
ap-951	507	24	,	,	PUNCT
ap-951	507	25	,	,	PUNCT
ap-951	507	26	�	�	PROPN
ap-951	507	27	�	�	PROPN
ap-951	507	28	�	�	PROPN
ap-951	507	29	�	�	PROPN
ap-951	507	30	�	�	PROPN
ap-951	507	31	�	�	PROPN
ap-951	507	32	there	there	PRON
ap-951	507	33	are	be	VERB
ap-951	507	34	no	no	DET
ap-951	507	35	integrals	integral	NOUN
ap-951	507	36	i1,k	i1,k	PROPN
ap-951	507	37	because	because	SCONJ
ap-951	507	38	there	there	PRON
ap-951	507	39	are	be	VERB
ap-951	507	40	no	no	DET
ap-951	507	41	double	double	ADJ
ap-951	507	42	periodic	periodic	ADJ
ap-951	507	43	meromorphic	meromorphic	ADJ
ap-951	507	44	functions	function	NOUN
ap-951	507	45	with	with	ADP
ap-951	507	46	one	one	NUM
ap-951	507	47	simple	simple	ADJ
ap-951	507	48	pole	pole	NOUN
ap-951	507	49	.	.	PUNCT
ap-951	508	1	the	the	DET
ap-951	508	2	integrals	integral	NOUN
ap-951	508	3	i	i	PRON
ap-951	508	4	k	k	PROPN
ap-951	508	5	nk	nk	PROPN
ap-951	508	6	k	k	PROPN
ap-951	508	7	,	,	PUNCT
ap-951	508	8	,	,	PUNCT
ap-951	508	9	,	,	PUNCT
ap-951	508	10	,	,	PUNCT
ap-951	508	11	,	,	PUNCT
ap-951	508	12	,	,	PUNCT
ap-951	508	13	�	�	PROPN
ap-951	508	14	0	0	NUM
ap-951	508	15	2	2	NUM
ap-951	508	16	3	3	NUM
ap-951	508	17	�	�	NOUN
ap-951	508	18	are	be	AUX
ap-951	508	19	the	the	DET
ap-951	508	20	casimir	casimir	NOUN
ap-951	508	21	functions	function	NOUN
ap-951	508	22	corresponding	correspond	VERB
ap-951	508	23	to	to	ADP
ap-951	508	24	the	the	DET
ap-951	508	25	coadjoint	coadjoint	NOUN
ap-951	508	26	orbit	orbit	PROPN
ap-951	508	27	�	�	PROPN
ap-951	508	28	�	�	PROPN
ap-951	508	29	�	�	PROPN
ap-951	508	30	et	et	NOUN
ap-951	508	31	s	s	PART
ap-951	508	32	n	n	PRON
ap-951	508	33	g	g	NOUN
ap-951	508	34	g	g	PROPN
ap-951	508	35	�	�	PROPN
ap-951	508	36	�	�	PROPN
ap-951	508	37	�	�	PROPN
ap-951	508	38	�	�	PROPN
ap-951	508	39	gl	gl	PROPN
ap-951	508	40	(	(	PUNCT
ap-951	508	41	,	,	PUNCT
ap-951	508	42	)	)	PUNCT
ap-951	508	43	,	,	PUNCT
ap-951	508	44	(	(	PUNCT
ap-951	508	45	)	)	PUNCT
ap-951	508	46	�	�	PROPN
ap-951	508	47	s	s	PART
ap-951	508	48	s1	s1	NOUN
ap-951	508	49	0	0	NUM
ap-951	508	50	.	.	PUNCT
ap-951	509	1	the	the	DET
ap-951	509	2	conservation	conservation	NOUN
ap-951	509	3	laws	law	NOUN
ap-951	509	4	is	be	AUX
ap-951	509	5	,	,	PUNCT
ap-951	509	6	k	k	PROPN
ap-951	509	7	generate	generate	VERB
ap-951	509	8	commuting	commuting	NOUN
ap-951	509	9	flows	flow	NOUN
ap-951	509	10	on	on	ADP
ap-951	509	11	�	�	PROPN
ap-951	509	12	rot	rot	PROPN
ap-951	509	13	�	�	PROPN
ap-951	509	14	�	�	SYM
ap-951	509	15	�	�	PROPN
ap-951	509	16	s	s	PART
ap-951	509	17	k	k	PROPN
ap-951	509	18	s	s	X
ap-951	509	19	ki	ki	PROPN
ap-951	509	20	,	,	PUNCT
ap-951	509	21	,	,	PUNCT
ap-951	509	22	,	,	PUNCT
ap-951	509	23	s	s	PROPN
ap-951	509	24	s	s	PROPN
ap-951	509	25	�	�	PROPN
ap-951	509	26	1	1	NUM
ap-951	509	27	,	,	PUNCT
ap-951	509	28	(	(	PUNCT
ap-951	509	29	:	:	PUNCT
ap-951	509	30	)	)	PUNCT
ap-951	509	31	,	,	PUNCT
ap-951	509	32	,	,	PUNCT
ap-951	509	33	�	�	PROPN
ap-951	509	34	�	�	PROPN
ap-951	509	35	s	s	PART
ap-951	509	36	k	k	PROPN
ap-951	509	37	t	t	PROPN
ap-951	509	38	s	s	PROPN
ap-951	509	39	k	k	PROPN
ap-951	509	40	�	�	PROPN
ap-951	509	41	.	.	PUNCT
ap-951	510	1	4.4	4.4	NUM
ap-951	510	2	symplectic	symplectic	PROPN
ap-951	510	3	hecke	hecke	PROPN
ap-951	510	4	correspondence	correspondence	NOUN
ap-951	510	5	let	let	VERB
ap-951	510	6	e	e	NOUN
ap-951	510	7	and	and	CCONJ
ap-951	510	8	~e	~e	NUM
ap-951	510	9	be	be	AUX
ap-951	510	10	two	two	NUM
ap-951	510	11	bundles	bundle	NOUN
ap-951	510	12	over	over	ADP
ap-951	510	13	�	�	PROPN
ap-951	510	14	of	of	ADP
ap-951	510	15	the	the	DET
ap-951	510	16	same	same	ADJ
ap-951	510	17	rank	rank	NOUN
ap-951	510	18	.	.	PUNCT
ap-951	511	1	assume	assume	VERB
ap-951	511	2	that	that	SCONJ
ap-951	511	3	there	there	PRON
ap-951	511	4	is	be	VERB
ap-951	511	5	a	a	DET
ap-951	511	6	map	map	NOUN
ap-951	511	7	�	�	PROPN
ap-951	511	8	�	�	PROPN
ap-951	511	9	:	:	PUNCT
ap-951	511	10	~e	~e	NUM
ap-951	511	11	e	e	X
ap-951	511	12	(	(	PUNCT
ap-951	511	13	more	more	ADV
ap-951	511	14	precisely	precisely	ADV
ap-951	511	15	a	a	DET
ap-951	511	16	map	map	NOUN
ap-951	511	17	of	of	ADP
ap-951	511	18	the	the	DET
ap-951	511	19	space	space	NOUN
ap-951	511	20	of	of	ADP
ap-951	511	21	sections	section	NOUN
ap-951	511	22	�	�	PROPN
ap-951	511	23	�	�	PROPN
ap-951	511	24	(	(	PUNCT
ap-951	511	25	)	)	PUNCT
ap-951	511	26	(	(	PUNCT
ap-951	511	27	~)e	~)e	PUNCT
ap-951	511	28	e	e	X
ap-951	511	29	�	�	PROPN
ap-951	511	30	)	)	PUNCT
ap-951	511	31	such	such	ADJ
ap-951	511	32	that	that	SCONJ
ap-951	511	33	it	it	PRON
ap-951	511	34	is	be	AUX
ap-951	511	35	an	an	DET
ap-951	511	36	isomorphism	isomorphism	NOUN
ap-951	511	37	on	on	ADP
ap-951	511	38	the	the	DET
ap-951	511	39	complement	complement	NOUN
ap-951	511	40	to	to	ADP
ap-951	511	41	z0	z0	PROPN
ap-951	511	42	and	and	CCONJ
ap-951	511	43	it	it	PRON
ap-951	511	44	has	have	VERB
ap-951	511	45	one	one	NUM
ap-951	511	46	-	-	PUNCT
ap-951	511	47	dimensional	dimensional	ADJ
ap-951	511	48	cokernel	cokernel	NOUN
ap-951	511	49	at	at	ADP
ap-951	511	50	x	x	PROPN
ap-951	511	51	�	�	PROPN
ap-951	511	52	�	�	PROPN
ap-951	511	53	:	:	PUNCT
ap-951	511	54	0	0	NUM
ap-951	511	55	0	0	SYM
ap-951	511	56	0	0	NUM
ap-951	511	57	�	�	PROPN
ap-951	511	58	*	*	PUNCT
ap-951	511	59	�	�	PROPN
ap-951	511	60	*	*	PROPN
ap-951	511	61	*	*	PROPN
ap-951	511	62	�	�	PROPN
ap-951	511	63	�	�	PROPN
ap-951	511	64	e	e	PROPN
ap-951	511	65	e	e	PROPN
ap-951	511	66	c	c	PROPN
ap-951	511	67	z	z	PROPN
ap-951	511	68	�	�	PROPN
ap-951	511	69	~	~	PUNCT
ap-951	511	70	.	.	PUNCT
ap-951	512	1	the	the	DET
ap-951	512	2	map	map	NOUN
ap-951	512	3	�	�	PROPN
ap-951	512	4	+	+	NUM
ap-951	512	5	is	be	AUX
ap-951	512	6	called	call	VERB
ap-951	512	7	upper	upper	ADJ
ap-951	512	8	modification	modification	NOUN
ap-951	512	9	of	of	ADP
ap-951	512	10	the	the	DET
ap-951	512	11	bundle	bundle	NOUN
ap-951	512	12	e	e	NOUN
ap-951	512	13	at	at	ADP
ap-951	512	14	the	the	DET
ap-951	512	15	point	point	NOUN
ap-951	512	16	z0	z0	PROPN
ap-951	512	17	.	.	PUNCT
ap-951	513	1	let	let	VERB
ap-951	513	2	w	w	PROPN
ap-951	513	3	z	z	PROPN
ap-951	513	4	z	z	PROPN
ap-951	513	5	�	�	PROPN
ap-951	513	6	�	�	PROPN
ap-951	513	7	0	0	NUM
ap-951	513	8	be	be	AUX
ap-951	513	9	a	a	DET
ap-951	513	10	local	local	ADJ
ap-951	513	11	coordinate	coordinate	NOUN
ap-951	513	12	in	in	ADP
ap-951	513	13	a	a	DET
ap-951	513	14	neighborhood	neighborhood	NOUN
ap-951	513	15	of	of	ADP
ap-951	513	16	z0	z0	PROPN
ap-951	513	17	.	.	PUNCT
ap-951	514	1	we	we	PRON
ap-951	514	2	represent	represent	VERB
ap-951	514	3	locally	locally	ADV
ap-951	514	4	e	e	NOUN
ap-951	514	5	as	as	ADP
ap-951	514	6	a	a	DET
ap-951	514	7	sum	sum	NOUN
ap-951	514	8	of	of	ADP
ap-951	514	9	line	line	NOUN
ap-951	514	10	bundles	bundle	NOUN
ap-951	514	11	e	e	PROPN
ap-951	514	12	j	j	PROPN
ap-951	514	13	n	n	CCONJ
ap-951	514	14	j	j	PROPN
ap-951	514	15	�	�	PROPN
ap-951	514	16	�	�	PROPN
ap-951	514	17	�	�	PROPN
ap-951	514	18	1	1	NUM
ap-951	514	19	�	�	PROPN
ap-951	514	20	with	with	ADP
ap-951	514	21	holomorphic	holomorphic	ADJ
ap-951	514	22	sections	section	NOUN
ap-951	514	23	s	s	PART
ap-951	514	24	s	s	NOUN
ap-951	514	25	s	s	X
ap-951	514	26	sn	sn	INTJ
ap-951	514	27	�	�	PROPN
ap-951	514	28	(	(	PUNCT
ap-951	514	29	,	,	PUNCT
ap-951	514	30	,	,	PUNCT
ap-951	514	31	,	,	PUNCT
ap-951	514	32	)	)	PUNCT
ap-951	514	33	1	1	NUM
ap-951	514	34	2	2	NUM
ap-951	514	35	�	�	NOUN
ap-951	514	36	.	.	PUNCT
ap-951	515	1	(	(	PUNCT
ap-951	515	2	4.42	4.42	NUM
ap-951	515	3	)	)	PUNCT
ap-951	515	4	after	after	ADP
ap-951	515	5	modification	modification	NOUN
ap-951	515	6	we	we	PRON
ap-951	515	7	come	come	VERB
ap-951	515	8	to	to	ADP
ap-951	515	9	the	the	DET
ap-951	515	10	bundle	bundle	NOUN
ap-951	515	11	~	~	PUNCT
ap-951	515	12	(	(	PUNCT
ap-951	515	13	)	)	PUNCT
ap-951	515	14	e	e	X
ap-951	515	15	zj	zj	PROPN
ap-951	515	16	n	n	CCONJ
ap-951	515	17	j	j	PROPN
ap-951	515	18	�	�	PROPN
ap-951	515	19	�	�	PROPN
ap-951	515	20	"	"	PUNCT
ap-951	515	21	�	�	PROPN
ap-951	515	22	1	1	NUM
ap-951	515	23	0	0	NUM
ap-951	515	24	�	�	PROPN
ap-951	515	25	.	.	PUNCT
ap-951	516	1	the	the	DET
ap-951	516	2	sections	section	NOUN
ap-951	516	3	of	of	ADP
ap-951	516	4	~e	~e	NUM
ap-951	516	5	are	be	AUX
ap-951	516	6	represented	represent	VERB
ap-951	516	7	locally	locally	ADV
ap-951	516	8	as	as	ADP
ap-951	516	9	~	~	PUNCT
ap-951	516	10	(	(	PUNCT
ap-951	516	11	(	(	PUNCT
ap-951	516	12	)	)	PUNCT
ap-951	516	13	,	,	PUNCT
ap-951	516	14	,	,	PUNCT
ap-951	516	15	(	(	PUNCT
ap-951	516	16	)	)	PUNCT
ap-951	516	17	)	)	PUNCT
ap-951	516	18	s	s	VERB
ap-951	516	19	g	g	PROPN
ap-951	516	20	w	w	PROPN
ap-951	516	21	s	s	PROPN
ap-951	516	22	w	w	PROPN
ap-951	516	23	g	g	PROPN
ap-951	516	24	w	w	PROPN
ap-951	516	25	sn	sn	PROPN
ap-951	516	26	n	n	CCONJ
ap-951	516	27	�	�	PROPN
ap-951	516	28	�	�	PROPN
ap-951	516	29	1	1	NUM
ap-951	516	30	1	1	NUM
ap-951	516	31	1	1	NUM
ap-951	516	32	�	�	PROPN
ap-951	516	33	,	,	PUNCT
ap-951	516	34	where	where	SCONJ
ap-951	516	35	g	g	PROPN
ap-951	516	36	j	j	PROPN
ap-951	516	37	(	(	PUNCT
ap-951	516	38	)	)	PUNCT
ap-951	516	39	0	0	NUM
ap-951	516	40	0	0	NUM
ap-951	516	41	.	.	PUNCT
ap-951	517	1	in	in	ADP
ap-951	517	2	this	this	DET
ap-951	517	3	basis	basis	NOUN
ap-951	517	4	the	the	DET
ap-951	517	5	upper	upper	ADJ
ap-951	517	6	modification	modification	NOUN
ap-951	517	7	at	at	ADP
ap-951	517	8	the	the	DET
ap-951	517	9	point	point	NOUN
ap-951	517	10	z0	z0	PROPN
ap-951	517	11	is	be	AUX
ap-951	517	12	represented	represent	VERB
ap-951	517	13	by	by	ADP
ap-951	517	14	the	the	DET
ap-951	517	15	matrix	matrix	NOUN
ap-951	517	16	�	�	PROPN
ap-951	517	17	�	�	PROPN
ap-951	517	18	�	�	PROPN
ap-951	517	19	�	�	PROPN
ap-951	517	20	�	�	PROPN
ap-951	517	21	�	�	PROPN
ap-951	517	22	�	�	PROPN
ap-951	517	23	�	�	PROPN
ap-951	517	24	�	�	PROPN
ap-951	517	25	i	i	PROPN
ap-951	517	26	d	d	PROPN
ap-951	517	27	0	0	NUM
ap-951	517	28	0	0	NUM
ap-951	517	29	n	n	PRON
ap-951	517	30	w	w	NOUN
ap-951	517	31	1	1	NUM
ap-951	517	32	.	.	PUNCT
ap-951	518	1	this	this	PRON
ap-951	518	2	is	be	AUX
ap-951	518	3	a	a	DET
ap-951	518	4	modification	modification	NOUN
ap-951	518	5	of	of	ADP
ap-951	518	6	order	order	NOUN
ap-951	518	7	1	1	NUM
ap-951	518	8	,	,	PUNCT
ap-951	518	9	since	since	SCONJ
ap-951	518	10	it	it	PRON
ap-951	518	11	increase	increase	VERB
ap-951	518	12	the	the	DET
ap-951	518	13	degree	degree	NOUN
ap-951	518	14	of	of	ADP
ap-951	518	15	e	e	PROPN
ap-951	518	16	deg(~	deg(~	PROPN
ap-951	518	17	)	)	PUNCT
ap-951	518	18	deg	deg	PROPN
ap-951	518	19	(	(	PUNCT
ap-951	518	20	)	)	PUNCT
ap-951	518	21	deg	deg	PROPN
ap-951	518	22	(	(	PUNCT
ap-951	518	23	(	(	PUNCT
ap-951	518	24	)	)	PUNCT
ap-951	518	25	)	)	PUNCT
ap-951	518	26	deg	deg	PROPN
ap-951	518	27	(	(	PUNCT
ap-951	518	28	)	)	PUNCT
ap-951	518	29	e	e	X
ap-951	518	30	e	e	X
ap-951	518	31	z	z	PROPN
ap-951	518	32	e	e	PROPN
ap-951	518	33	�	�	PROPN
ap-951	518	34	�	�	PROPN
ap-951	518	35	0	0	NUM
ap-951	518	36	1	1	NUM
ap-951	518	37	(	(	PUNCT
ap-951	518	38	4.43	4.43	NUM
ap-951	518	39	)	)	PUNCT
ap-951	518	40	on	on	ADP
ap-951	518	41	the	the	DET
ap-951	518	42	complement	complement	NOUN
ap-951	518	43	to	to	ADP
ap-951	518	44	the	the	DET
ap-951	518	45	point	point	NOUN
ap-951	518	46	z0	z0	PROPN
ap-951	518	47	consider	consider	VERB
ap-951	518	48	the	the	DET
ap-951	518	49	map	map	NOUN
ap-951	518	50	e	e	PROPN
ap-951	518	51	e	e	PROPN
ap-951	518	52	�	�	PROPN
ap-951	518	53	�	�	PROPN
ap-951	518	54	+	+	CCONJ
ap-951	518	55	*	*	PUNCT
ap-951	518	56	*	*	PUNCT
ap-951	518	57	*	*	PUNCT
ap-951	518	58	~	~	PUNCT
ap-951	518	59	such	such	ADJ
ap-951	518	60	that	that	SCONJ
ap-951	518	61	�	�	PROPN
ap-951	518	62	�	�	PROPN
ap-951	518	63	�	�	PROPN
ap-951	518	64	�	�	PROPN
ap-951	518	65	i	i	PRON
ap-951	518	66	d.	d.	PROPN
ap-951	518	67	it	it	PRON
ap-951	518	68	defines	define	VERB
ap-951	518	69	the	the	DET
ap-951	518	70	lower	low	ADJ
ap-951	518	71	modification	modification	NOUN
ap-951	518	72	at	at	ADP
ap-951	518	73	the	the	DET
ap-951	518	74	point	point	NOUN
ap-951	518	75	z0	z0	PROPN
ap-951	518	76	.	.	PUNCT
ap-951	519	1	the	the	DET
ap-951	519	2	upper	upper	ADJ
ap-951	519	3	modification	modification	NOUN
ap-951	519	4	�	�	PROPN
ap-951	519	5	is	be	AUX
ap-951	519	6	represented	represent	VERB
ap-951	519	7	by	by	ADP
ap-951	519	8	the	the	DET
ap-951	519	9	vector	vector	NOUN
ap-951	519	10	(	(	PUNCT
ap-951	519	11	0	0	NUM
ap-951	519	12	,	,	PUNCT
ap-951	519	13	…	…	PUNCT
ap-951	519	14	,	,	PUNCT
ap-951	519	15	1	1	NUM
ap-951	519	16	)	)	PUNCT
ap-951	519	17	and	and	CCONJ
ap-951	519	18	�	�	PROPN
ap-951	519	19	�	�	PROPN
ap-951	519	20	by	by	ADP
ap-951	519	21	(	(	PUNCT
ap-951	519	22	0	0	NUM
ap-951	519	23	,	,	PUNCT
ap-951	519	24	…	…	NUM
ap-951	519	25	,	,	PUNCT
ap-951	519	26	�	�	PROPN
ap-951	519	27	1	1	NUM
ap-951	519	28	)	)	PUNCT
ap-951	519	29	.	.	PUNCT
ap-951	520	1	for	for	ADP
ap-951	520	2	higgs	higgs	NOUN
ap-951	520	3	bundles	bundle	NOUN
ap-951	520	4	the	the	DET
ap-951	520	5	modification	modification	NOUN
ap-951	520	6	acts	act	VERB
ap-951	520	7	as	as	ADP
ap-951	520	8	(	(	PUNCT
ap-951	520	9	)	)	PUNCT
ap-951	520	10	(	(	PUNCT
ap-951	520	11	~~)e	~~)e	PROPN
ap-951	520	12	e	e	PART
ap-951	520	13	�	�	PROPN
ap-951	520	14	*	*	SYM
ap-951	520	15	�	�	PROPN
ap-951	520	16	*	*	PROPN
ap-951	520	17	�	�	PROPN
ap-951	520	18	�	�	PROPN
ap-951	520	19	�	�	PROPN
ap-951	520	20	~	~	PUNCT
ap-951	520	21	,	,	PUNCT
ap-951	520	22	�	�	PROPN
ap-951	520	23	�	�	PROPN
ap-951	520	24	�	�	PROPN
ap-951	520	25	~	~	PUNCT
ap-951	520	26	a	a	DET
ap-951	520	27	a	a	DET
ap-951	520	28	�	�	PROPN
ap-951	520	29	�	�	PROPN
ap-951	520	30	.	.	PUNCT
ap-951	521	1	(	(	PUNCT
ap-951	521	2	4.44	4.44	NUM
ap-951	521	3	)	)	PUNCT
ap-951	521	4	the	the	DET
ap-951	521	5	higgs	higgs	NOUN
ap-951	521	6	fields	field	NOUN
ap-951	521	7	and	and	CCONJ
ap-951	521	8	~	~	PUNCT
ap-951	521	9	should	should	AUX
ap-951	521	10	be	be	AUX
ap-951	521	11	holomorphic	holomorphic	ADJ
ap-951	521	12	with	with	ADP
ap-951	521	13	prescribed	prescribe	VERB
ap-951	521	14	simple	simple	ADJ
ap-951	521	15	poles	pole	NOUN
ap-951	521	16	at	at	ADP
ap-951	521	17	the	the	DET
ap-951	521	18	marked	mark	VERB
ap-951	521	19	points	point	NOUN
ap-951	521	20	.	.	PUNCT
ap-951	522	1	the	the	DET
ap-951	522	2	holomorphity	holomorphity	NOUN
ap-951	522	3	of	of	ADP
ap-951	522	4	the	the	DET
ap-951	522	5	higgs	higgs	NOUN
ap-951	522	6	field	field	NOUN
ap-951	522	7	put	put	VERB
ap-951	522	8	restrictions	restriction	NOUN
ap-951	522	9	on	on	ADP
ap-951	522	10	its	its	PRON
ap-951	522	11	form	form	NOUN
ap-951	522	12	.	.	PUNCT
ap-951	523	1	consider	consider	VERB
ap-951	523	2	the	the	DET
ap-951	523	3	upper	upper	ADJ
ap-951	523	4	modification	modification	NOUN
ap-951	523	5	�	�	PROPN
ap-951	523	6	~	~	PUNCT
ap-951	523	7	(	(	PUNCT
ap-951	523	8	,	,	PUNCT
ap-951	523	9	,	,	PUNCT
ap-951	523	10	)	)	PUNCT
ap-951	523	11	0	0	NUM
ap-951	524	1	1	1	NUM
ap-951	524	2	�	�	PROPN
ap-951	524	3	and	and	CCONJ
ap-951	524	4	assume	assume	VERB
ap-951	524	5	that	that	SCONJ
ap-951	524	6	in	in	ADP
ap-951	524	7	the	the	DET
ap-951	524	8	above	above	ADV
ap-951	524	9	-	-	PUNCT
ap-951	524	10	defined	define	VERB
ap-951	524	11	basis	basis	NOUN
ap-951	524	12	takes	take	VERB
ap-951	524	13	the	the	DET
ap-951	524	14	form	form	NOUN
ap-951	524	15	�	�	PROPN
ap-951	524	16	�	�	PROPN
ap-951	524	17	�	�	PROPN
ap-951	524	18	�	�	PROPN
ap-951	524	19	�	�	PROPN
ap-951	524	20	�	�	PROPN
ap-951	524	21	�	�	PROPN
ap-951	524	22	a	a	DET
ap-951	524	23	b	b	PROPN
ap-951	524	24	c	c	NOUN
ap-951	524	25	d	d	NOUN
ap-951	524	26	,	,	PUNCT
ap-951	524	27	where	where	SCONJ
ap-951	524	28	a	a	PRON
ap-951	524	29	is	be	AUX
ap-951	524	30	a	a	DET
ap-951	524	31	matrix	matrix	NOUN
ap-951	524	32	of	of	ADP
ap-951	524	33	order	order	NOUN
ap-951	524	34	n	n	PRON
ap-951	524	35	�	�	PROPN
ap-951	524	36	1	1	NUM
ap-951	524	37	.	.	PUNCT
ap-951	525	1	then	then	ADV
ap-951	525	2	�	�	PROPN
ap-951	525	3	�	�	PROPN
ap-951	525	4	a	a	DET
ap-951	525	5	b	b	NOUN
ap-951	525	6	c	c	NOUN
ap-951	526	1	d	d	NOUN
ap-951	526	2	a	a	DET
ap-951	526	3	bw	bw	PROPN
ap-951	526	4	cw	cw	PROPN
ap-951	526	5	d	d	PROPN
ap-951	526	6	�	�	PROPN
ap-951	526	7	�	�	PROPN
ap-951	526	8	�	�	PROPN
ap-951	526	9	�	�	PROPN
ap-951	526	10	�	�	PROPN
ap-951	526	11	�	�	PROPN
ap-951	526	12	�	�	PROPN
ap-951	526	13	�	�	PROPN
ap-951	526	14	�	�	PROPN
ap-951	526	15	�	�	PROPN
ap-951	526	16	�	�	PROPN
ap-951	526	17	�	�	PROPN
ap-951	526	18	�	�	PROPN
ap-951	526	19	�	�	PROPN
ap-951	526	20	�	�	PROPN
ap-951	526	21	�	�	PROPN
ap-951	526	22	1	1	NUM
ap-951	526	23	.	.	PUNCT
ap-951	527	1	we	we	PRON
ap-951	527	2	see	see	VERB
ap-951	527	3	that	that	SCONJ
ap-951	527	4	a	a	DET
ap-951	527	5	generic	generic	ADJ
ap-951	527	6	higgs	higgs	NOUN
ap-951	527	7	field	field	NOUN
ap-951	527	8	acquires	acquire	VERB
ap-951	527	9	a	a	DET
ap-951	527	10	first	first	ADJ
ap-951	527	11	order	order	NOUN
ap-951	527	12	pole	pole	NOUN
ap-951	527	13	after	after	ADP
ap-951	527	14	the	the	DET
ap-951	527	15	modification	modification	NOUN
ap-951	527	16	.	.	PUNCT
ap-951	528	1	to	to	PART
ap-951	528	2	escape	escape	VERB
ap-951	528	3	this	this	PRON
ap-951	528	4	,	,	PUNCT
ap-951	528	5	we	we	PRON
ap-951	528	6	assume	assume	VERB
ap-951	528	7	that	that	SCONJ
ap-951	528	8	there	there	PRON
ap-951	528	9	exists	exist	VERB
ap-951	528	10	an	an	DET
ap-951	528	11	eigen	eigen	PROPN
ap-951	528	12	-	-	PUNCT
ap-951	528	13	vector	vector	NOUN
ap-951	528	14	�	�	PROPN
ap-951	528	15	�	�	PROPN
ap-951	528	16	such	such	ADJ
ap-951	528	17	that	that	SCONJ
ap-951	528	18	it	it	PRON
ap-951	528	19	belongs	belong	VERB
ap-951	528	20	to	to	ADP
ap-951	528	21	the	the	DET
ap-951	528	22	k	k	PROPN
ap-951	528	23	er	er	INTJ
ap-951	528	24	.	.	PUNCT
ap-951	529	1	let	let	VERB
ap-951	529	2	�	�	PROPN
ap-951	529	3	(	(	PUNCT
ap-951	529	4	,	,	PUNCT
ap-951	529	5	,	,	PUNCT
ap-951	529	6	,	,	PUNCT
ap-951	529	7	)	)	PUNCT
ap-951	529	8	0	0	SYM
ap-951	529	9	0	0	NUM
ap-951	529	10	1	1	NUM
ap-951	529	11	�	�	PROPN
ap-951	529	12	and	and	CCONJ
ap-951	529	13	�	�	PROPN
ap-951	529	14	�	�	PROPN
ap-951	529	15	�	�	PROPN
ap-951	529	16	�	�	PROPN
ap-951	529	17	�	�	PROPN
ap-951	529	18	�	�	PROPN
ap-951	529	19	�	�	PROPN
ap-951	529	20	a	a	DET
ap-951	529	21	c	c	NOUN
ap-951	529	22	d	d	NOUN
ap-951	529	23	0	0	PROPN
ap-951	529	24	.	.	PUNCT
ap-951	530	1	then	then	ADV
ap-951	530	2	the	the	DET
ap-951	530	3	higgs	higgs	NOUN
ap-951	530	4	field	field	NOUN
ap-951	530	5	~	~	PUNCT
ap-951	530	6	does	do	AUX
ap-951	530	7	not	not	PART
ap-951	530	8	have	have	VERB
ap-951	530	9	a	a	DET
ap-951	530	10	pole	pole	NOUN
ap-951	530	11	~	~	PUNCT
ap-951	530	12	�	�	PROPN
ap-951	530	13	�	�	PROPN
ap-951	530	14	�	�	PROPN
ap-951	530	15	�	�	PROPN
ap-951	530	16	�	�	PROPN
ap-951	530	17	�	�	PROPN
ap-951	530	18	�	�	PROPN
ap-951	530	19	a	a	DET
ap-951	530	20	cw	cw	NOUN
ap-951	530	21	d	d	NOUN
ap-951	530	22	0	0	PROPN
ap-951	530	23	.	.	PUNCT
ap-951	531	1	in	in	ADP
ap-951	531	2	other	other	ADJ
ap-951	531	3	words	word	NOUN
ap-951	531	4	the	the	DET
ap-951	531	5	matrix	matrix	NOUN
ap-951	531	6	elements	element	NOUN
ap-951	531	7	(	(	PUNCT
ap-951	531	8	)	)	PUNCT
ap-951	531	9	jn	jn	PROPN
ap-951	531	10	should	should	AUX
ap-951	531	11	have	have	VERB
ap-951	531	12	first	first	ADJ
ap-951	531	13	order	order	NOUN
ap-951	531	14	null	null	NOUN
ap-951	531	15	.	.	PUNCT
ap-951	532	1	in	in	ADP
ap-951	532	2	this	this	DET
ap-951	532	3	way	way	NOUN
ap-951	532	4	the	the	DET
ap-951	532	5	upper	upper	ADJ
ap-951	532	6	modification	modification	NOUN
ap-951	532	7	is	be	AUX
ap-951	532	8	lifted	lift	VERB
ap-951	532	9	from	from	ADP
ap-951	532	10	e	e	PROPN
ap-951	532	11	to	to	ADP
ap-951	532	12	the	the	DET
ap-951	532	13	higgs	higgs	PROPN
ap-951	532	14	bundle	bundle	PROPN
ap-951	532	15	.	.	PUNCT
ap-951	533	1	after	after	ADP
ap-951	533	2	the	the	DET
ap-951	533	3	reduction	reduction	NOUN
ap-951	533	4	we	we	PRON
ap-951	533	5	come	come	VERB
ap-951	533	6	to	to	ADP
ap-951	533	7	the	the	DET
ap-951	533	8	map	map	NOUN
ap-951	533	9	(	(	PUNCT
ap-951	533	10	see	see	VERB
ap-951	533	11	(	(	PUNCT
ap-951	533	12	4.17	4.17	NUM
ap-951	533	13	)	)	PUNCT
ap-951	533	14	)	)	PUNCT
ap-951	534	1	t	t	PROPN
ap-951	534	2	n	n	CCONJ
ap-951	534	3	g	g	PROPN
ap-951	534	4	n	n	PROPN
ap-951	534	5	d	d	PROPN
ap-951	534	6	t	t	PROPN
ap-951	534	7	n	n	CCONJ
ap-951	534	8	g	g	PROPN
ap-951	534	9	n	n	PROPN
ap-951	534	10	d	d	X
ap-951	534	11	*	*	PUNCT
ap-951	534	12	*	*	PUNCT
ap-951	534	13	(	(	PUNCT
ap-951	534	14	,	,	PUNCT
ap-951	534	15	,	,	PUNCT
ap-951	534	16	,	,	PUNCT
ap-951	534	17	)	)	PUNCT
ap-951	534	18	(	(	PUNCT
ap-951	534	19	,	,	PUNCT
ap-951	534	20	,	,	PUNCT
ap-951	534	21	,	,	PUNCT
ap-951	534	22	)	)	PUNCT
ap-951	534	23	�	�	PROPN
ap-951	534	24	�	�	PROPN
ap-951	534	25	�	�	PROPN
ap-951	534	26	1	1	NUM
ap-951	534	27	.	.	PUNCT
ap-951	535	1	we	we	PRON
ap-951	535	2	call	call	VERB
ap-951	535	3	this	this	PRON
ap-951	535	4	the	the	DET
ap-951	535	5	upper	upper	ADJ
ap-951	535	6	symplectic	symplectic	PROPN
ap-951	535	7	hecke	hecke	PROPN
ap-951	535	8	correspondence	correspondence	NOUN
ap-951	535	9	(	(	PUNCT
ap-951	535	10	shc	shc	PROPN
ap-951	535	11	)	)	PUNCT
ap-951	535	12	.	.	PUNCT
ap-951	536	1	generically	generically	ADV
ap-951	536	2	the	the	DET
ap-951	536	3	modified	modify	VERB
ap-951	536	4	bundle	bundle	NOUN
ap-951	536	5	~e	~e	NUM
ap-951	536	6	is	be	AUX
ap-951	536	7	represented	represent	VERB
ap-951	536	8	locally	locally	ADV
ap-951	536	9	as	as	ADP
ap-951	536	10	a	a	DET
ap-951	536	11	sum	sum	NOUN
ap-951	536	12	of	of	ADP
ap-951	536	13	line	line	NOUN
ap-951	536	14	bundles	bundle	NOUN
ap-951	536	15	~	~	PUNCT
ap-951	536	16	(	(	PUNCT
ap-951	536	17	(	(	PUNCT
ap-951	536	18	)	)	PUNCT
ap-951	536	19	)	)	PUNCT
ap-951	537	1	(	(	PUNCT
ap-951	537	2	)	)	PUNCT
ap-951	537	3	e	e	X
ap-951	537	4	z	z	PROPN
ap-951	537	5	mj	mj	AUX
ap-951	537	6	n	n	PROPN
ap-951	537	7	j	j	PROPN
ap-951	537	8	j	j	PROPN
ap-951	537	9	m	m	PROPN
ap-951	537	10	j	j	PROPN
ap-951	537	11	�	�	PROPN
ap-951	537	12	�	�	PROPN
ap-951	537	13	"	"	PUNCT
ap-951	537	14	�	�	PROPN
ap-951	537	15	�	�	PROPN
ap-951	537	16	1	1	NUM
ap-951	537	17	0	0	NUM
ap-951	537	18	�	�	PROPN
ap-951	537	19	�	�	PROPN
ap-951	537	20	with	with	ADP
ap-951	537	21	holomorphic	holomorphic	ADJ
ap-951	537	22	sections	section	NOUN
ap-951	537	23	~	~	PUNCT
ap-951	537	24	(	(	PUNCT
ap-951	537	25	~	~	NOUN
ap-951	537	26	,	,	PUNCT
ap-951	537	27	,	,	PUNCT
ap-951	537	28	~	~	PUNCT
ap-951	537	29	)	)	PUNCT
ap-951	537	30	(	(	PUNCT
ap-951	537	31	,	,	PUNCT
ap-951	537	32	,	,	PUNCT
ap-951	537	33	,	,	PUNCT
ap-951	537	34	)	)	PUNCT
ap-951	537	35	s	s	PART
ap-951	537	36	s	s	X
ap-951	537	37	s	s	NOUN
ap-951	537	38	w	w	NOUN
ap-951	537	39	g	g	PROPN
ap-951	537	40	s	s	PROPN
ap-951	537	41	w	w	NOUN
ap-951	537	42	g	g	PROPN
ap-951	537	43	s	s	PROPN
ap-951	537	44	w	w	NOUN
ap-951	537	45	g	g	PROPN
ap-951	537	46	sn	sn	PROPN
ap-951	537	47	m	m	VERB
ap-951	537	48	m	m	VERB
ap-951	537	49	m	m	VERB
ap-951	537	50	n	n	ADP
ap-951	537	51	n	n	CCONJ
ap-951	537	52	n	n	CCONJ
ap-951	537	53	�	�	PROPN
ap-951	537	54	�	�	PROPN
ap-951	537	55	�	�	PROPN
ap-951	537	56	�	�	PROPN
ap-951	537	57	�	�	PROPN
ap-951	537	58	1	1	NUM
ap-951	537	59	1	1	NUM
ap-951	537	60	1	1	NUM
ap-951	537	61	2	2	NUM
ap-951	537	62	21	21	NUM
ap-951	537	63	2	2	NUM
ap-951	537	64	�	�	PROPN
ap-951	537	65	�	�	PROPN
ap-951	537	66	.	.	PUNCT
ap-951	538	1	(	(	PUNCT
ap-951	538	2	4.45	4.45	X
ap-951	538	3	)	)	PUNCT
ap-951	538	4	it	it	PRON
ap-951	538	5	has	have	VERB
ap-951	538	6	the	the	DET
ap-951	538	7	degree	degree	NOUN
ap-951	538	8	deg(~	deg(~	PROPN
ap-951	538	9	)	)	PUNCT
ap-951	538	10	deg	deg	PROPN
ap-951	538	11	(	(	PUNCT
ap-951	538	12	)	)	PUNCT
ap-951	538	13	e	e	X
ap-951	538	14	e	e	NOUN
ap-951	538	15	m	m	PROPN
ap-951	538	16	j	j	PROPN
ap-951	538	17	j	j	PROPN
ap-951	538	18	n	n	CCONJ
ap-951	538	19	�	�	PROPN
ap-951	538	20	�	�	PROPN
ap-951	538	21	�	�	PROPN
ap-951	538	22	1	1	NUM
ap-951	538	23	.	.	PUNCT
ap-951	539	1	this	this	DET
ap-951	539	2	modification	modification	NOUN
ap-951	539	3	is	be	AUX
ap-951	539	4	represented	represent	VERB
ap-951	539	5	by	by	ADP
ap-951	539	6	the	the	DET
ap-951	539	7	vector	vector	NOUN
ap-951	539	8	(	(	PUNCT
ap-951	539	9	,	,	PUNCT
ap-951	539	10	,	,	PUNCT
ap-951	539	11	)	)	PUNCT
ap-951	539	12	m	m	PROPN
ap-951	539	13	mn1	mn1	PROPN
ap-951	539	14	�	�	PROPN
ap-951	539	15	.	.	PUNCT
ap-951	540	1	rememeber	rememeber	VERB
ap-951	540	2	that	that	SCONJ
ap-951	540	3	the	the	DET
ap-951	540	4	higgs	higgs	NOUN
ap-951	540	5	field	field	NOUN
ap-951	540	6	is	be	AUX
ap-951	540	7	an	an	DET
ap-951	540	8	endomorphism	endomorphism	NOUN
ap-951	540	9	of	of	ADP
ap-951	540	10	e	e	PROPN
ap-951	540	11	s	s	PROPN
ap-951	540	12	s	s	PROPN
ap-951	540	13	�	�	PROPN
ap-951	540	14	and	and	CCONJ
ap-951	540	15	near	near	ADP
ap-951	540	16	z0	z0	PROPN
ap-951	540	17	it	it	PRON
ap-951	540	18	acts	act	VERB
ap-951	540	19	as	as	ADP
ap-951	540	20	(	(	PUNCT
ap-951	540	21	�	�	PROPN
ap-951	540	22	s	s	X
ap-951	540	23	sj	sj	PROPN
ap-951	540	24	j	j	PROPN
ap-951	540	25	k	k	PROPN
ap-951	540	26	k	k	PROPN
ap-951	540	27	(	(	PUNCT
ap-951	540	28	)	)	PUNCT
ap-951	540	29	.	.	PUNCT
ap-951	541	1	©	©	PROPN
ap-951	541	2	czech	czech	PROPN
ap-951	541	3	technical	technical	PROPN
ap-951	541	4	university	university	PROPN
ap-951	541	5	publishing	publishing	NOUN
ap-951	541	6	house	house	NOUN
ap-951	541	7	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-951	541	8	15	15	NUM
ap-951	541	9	acta	acta	PROPN
ap-951	541	10	polytechnica	polytechnica	PROPN
ap-951	541	11	vol	vol	NOUN
ap-951	541	12	.	.	PUNCT
ap-951	542	1	48	48	NUM
ap-951	542	2	no	no	NOUN
ap-951	542	3	.	.	PUNCT
ap-951	543	1	2/2008	2/2008	NOUN
ap-951	543	2	similarly	similarly	ADV
ap-951	543	3	the	the	DET
ap-951	543	4	modified	modify	VERB
ap-951	543	5	higgs	higgs	NOUN
ap-951	543	6	field	field	NOUN
ap-951	543	7	acts	act	VERB
ap-951	543	8	on	on	ADP
ap-951	543	9	sections	section	NOUN
ap-951	543	10	of	of	ADP
ap-951	543	11	the	the	DET
ap-951	543	12	modified	modify	VERB
ap-951	543	13	bundle	bundle	NOUN
ap-951	543	14	~	~	ADP
ap-951	543	15	e	e	X
ap-951	543	16	~	~	PUNCT
ap-951	543	17	~~s	~~s	PUNCT
ap-951	543	18	s	s	PROPN
ap-951	543	19	�	�	PROPN
ap-951	543	20	.	.	PUNCT
ap-951	544	1	then	then	ADV
ap-951	544	2	it	it	PRON
ap-951	544	3	follows	follow	VERB
ap-951	544	4	from	from	ADP
ap-951	544	5	(	(	PUNCT
ap-951	544	6	4.45	4.45	NUM
ap-951	544	7	)	)	PUNCT
ap-951	544	8	that	that	SCONJ
ap-951	544	9	~	~	PUNCT
ap-951	544	10	~	~	PUNCT
ap-951	544	11	~	~	PUNCT
ap-951	544	12	~	~	PUNCT
ap-951	544	13	(	(	PUNCT
ap-951	544	14	�	�	PROPN
ap-951	544	15	s	s	X
ap-951	544	16	sj	sj	PROPN
ap-951	544	17	j	j	PROPN
ap-951	544	18	k	k	PROPN
ap-951	544	19	k	k	PROPN
ap-951	544	20	,	,	PUNCT
ap-951	544	21	~	~	PUNCT
ap-951	544	22	(	(	PUNCT
ap-951	544	23	)	)	PUNCT
ap-951	544	24	(	(	PUNCT
ap-951	544	25	)	)	PUNCT
ap-951	545	1	j	j	PROPN
ap-951	546	1	k	k	PROPN
ap-951	546	2	m	m	VERB
ap-951	546	3	m	m	VERB
ap-951	546	4	k	k	X
ap-951	546	5	j	j	PROPN
ap-951	546	6	j	j	PROPN
ap-951	546	7	kw	kw	INTJ
ap-951	546	8	g	g	PROPN
ap-951	546	9	w	w	PROPN
ap-951	546	10	g	g	PROPN
ap-951	546	11	wk	wk	INTJ
ap-951	546	12	j	j	PROPN
ap-951	546	13	�	�	PROPN
ap-951	546	14	�	�	PROPN
ap-951	546	15	�	�	PROPN
ap-951	546	16	1	1	NUM
ap-951	546	17	.	.	PUNCT
ap-951	547	1	since	since	SCONJ
ap-951	547	2	~	~	PUNCT
ap-951	547	3	is	be	AUX
ap-951	547	4	holomorphic	holomorphic	ADJ
ap-951	547	5	and	and	CCONJ
ap-951	547	6	g	g	PROPN
ap-951	547	7	j	j	PROPN
ap-951	547	8	(	(	PUNCT
ap-951	547	9	)	)	PUNCT
ap-951	547	10	0	0	NUM
ap-951	547	11	0	0	NUM
ap-951	547	12	,	,	PUNCT
ap-951	547	13	j	j	PROPN
ap-951	548	1	k	k	PROPN
ap-951	548	2	m	m	VERB
ap-951	548	3	mz	mz	PROPN
ap-951	548	4	z	z	PROPN
ap-951	548	5	k	k	PROPN
ap-951	548	6	j	j	PROPN
ap-951	548	7	(	(	PUNCT
ap-951	548	8	)	)	PUNCT
ap-951	548	9	�	�	PROPN
ap-951	548	10	�	�	PROPN
ap-951	548	11	0	0	NUM
ap-951	548	12	must	must	AUX
ap-951	548	13	be	be	AUX
ap-951	548	14	regular	regular	ADJ
ap-951	548	15	at	at	ADP
ap-951	548	16	z	z	PROPN
ap-951	548	17	z	z	PROPN
ap-951	548	18	�	�	PROPN
ap-951	548	19	0	0	NUM
ap-951	548	20	.	.	PUNCT
ap-951	549	1	if	if	SCONJ
ap-951	549	2	we	we	PRON
ap-951	549	3	order	order	VERB
ap-951	549	4	m	m	VERB
ap-951	549	5	m	m	VERB
ap-951	549	6	mn1	mn1	NOUN
ap-951	549	7	2	2	NUM
ap-951	549	8	$	$	SYM
ap-951	549	9	$	$	SYM
ap-951	549	10	$	$	SYM
ap-951	549	11	�	�	PROPN
ap-951	549	12	then	then	ADV
ap-951	549	13	the	the	DET
ap-951	549	14	number	number	NOUN
ap-951	549	15	of	of	ADP
ap-951	549	16	parameters	parameter	NOUN
ap-951	549	17	of	of	ADP
ap-951	549	18	the	the	DET
ap-951	549	19	endomorphisms	endomorphism	NOUN
ap-951	549	20	is	be	AUX
ap-951	549	21	(	(	PUNCT
ap-951	549	22	)	)	PUNCT
ap-951	549	23	m	m	VERB
ap-951	549	24	mj	mj	PROPN
ap-951	549	25	kj	kj	PROPN
ap-951	549	26	k	k	PROPN
ap-951	549	27	�	�	PROPN
ap-951	549	28	'	'	PUNCT
ap-951	549	29	�	�	PROPN
ap-951	549	30	.	.	PUNCT
ap-951	550	1	in	in	ADP
ap-951	550	2	general	general	ADJ
ap-951	550	3	case	case	NOUN
ap-951	550	4	t	t	PROPN
ap-951	550	5	n	n	CCONJ
ap-951	550	6	g	g	PROPN
ap-951	550	7	n	n	PROPN
ap-951	550	8	d	d	PROPN
ap-951	550	9	t	t	PROPN
ap-951	550	10	n	n	CCONJ
ap-951	550	11	g	g	PROPN
ap-951	550	12	n	n	PROPN
ap-951	550	13	d	d	PROPN
ap-951	550	14	m	m	PROPN
ap-951	550	15	j	j	PROPN
ap-951	550	16	j	j	PROPN
ap-951	550	17	n	n	PROPN
ap-951	550	18	*	*	PROPN
ap-951	550	19	*	*	PUNCT
ap-951	550	20	(	(	PUNCT
ap-951	550	21	,	,	PUNCT
ap-951	550	22	,	,	PUNCT
ap-951	550	23	,	,	PUNCT
ap-951	550	24	)	)	PUNCT
ap-951	550	25	(	(	PUNCT
ap-951	550	26	,	,	PUNCT
ap-951	550	27	,	,	PUNCT
ap-951	550	28	,	,	PUNCT
ap-951	550	29	)	)	PUNCT
ap-951	550	30	�	�	PROPN
ap-951	550	31	�	�	PROPN
ap-951	550	32	�	�	PROPN
ap-951	550	33	�	�	PROPN
ap-951	550	34	�	�	PROPN
ap-951	550	35	1	1	NUM
ap-951	550	36	.	.	PUNCT
ap-951	551	1	if	if	SCONJ
ap-951	551	2	m	m	PROPN
ap-951	551	3	jj	jj	PROPN
ap-951	551	4	n	n	PROPN
ap-951	551	5	�	�	PROPN
ap-951	551	6	�	�	PROPN
ap-951	551	7	�	�	PROPN
ap-951	551	8	1	1	NUM
ap-951	551	9	0	0	NUM
ap-951	551	10	the	the	DET
ap-951	551	11	shc	shc	PROPN
ap-951	551	12	does	do	AUX
ap-951	551	13	not	not	PART
ap-951	551	14	change	change	VERB
ap-951	551	15	the	the	DET
ap-951	551	16	topological	topological	ADJ
ap-951	551	17	type	type	NOUN
ap-951	551	18	of	of	ADP
ap-951	551	19	the	the	DET
ap-951	551	20	bundle	bundle	NOUN
ap-951	551	21	.	.	PUNCT
ap-951	552	1	therefore	therefore	ADV
ap-951	552	2	,	,	PUNCT
ap-951	552	3	such	such	ADJ
ap-951	552	4	shc	shc	PROPN
ap-951	552	5	defines	define	VERB
ap-951	552	6	a	a	DET
ap-951	552	7	bcklund	bcklund	NOUN
ap-951	552	8	transformation	transformation	NOUN
ap-951	552	9	of	of	ADP
ap-951	552	10	integrable	integrable	ADJ
ap-951	552	11	hierarchy	hierarchy	NOUN
ap-951	552	12	.	.	PUNCT
ap-951	553	1	4.5	4.5	NUM
ap-951	553	2	symplectic	symplectic	PROPN
ap-951	553	3	hecke	hecke	PROPN
ap-951	553	4	correspondence	correspondence	NOUN
ap-951	553	5	�	�	PROPN
ap-951	553	6	�	�	PROPN
ap-951	553	7	cm	cm	PROPN
ap-951	553	8	et	et	NOUN
ap-951	553	9	�	�	PROPN
ap-951	554	1	[	[	X
ap-951	554	2	11	11	NUM
ap-951	554	3	]	]	PUNCT
ap-951	554	4	we	we	PRON
ap-951	554	5	work	work	VERB
ap-951	554	6	directly	directly	ADV
ap-951	554	7	with	with	ADP
ap-951	554	8	the	the	DET
ap-951	554	9	lax	lax	ADJ
ap-951	554	10	matrices	matrix	NOUN
ap-951	554	11	l	l	NOUN
ap-951	554	12	let	let	VERB
ap-951	554	13	cm	cm	PROPN
ap-951	554	14	�	�	PROPN
ap-951	554	15	�	�	PROPN
ap-951	554	16	�	�	PROPN
ap-951	554	17	the	the	DET
ap-951	554	18	modification	modification	NOUN
ap-951	554	19	matrix	matrix	NOUN
ap-951	554	20	should	should	AUX
ap-951	554	21	intertwine	intertwine	VERB
ap-951	554	22	the	the	DET
ap-951	554	23	multipliers	multiplier	NOUN
ap-951	554	24	corresponding	correspond	VERB
ap-951	554	25	to	to	ADP
ap-951	554	26	the	the	DET
ap-951	554	27	fundamental	fundamental	ADJ
ap-951	554	28	cycles	cycle	NOUN
ap-951	554	29	�	�	PROPN
ap-951	554	30	�	�	PROPN
ap-951	554	31	(	(	PUNCT
ap-951	554	32	,	,	PUNCT
ap-951	554	33	)	)	PUNCT
ap-951	554	34	(	(	PUNCT
ap-951	554	35	,	,	PUNCT
ap-951	554	36	)	)	PUNCT
ap-951	554	37	z	z	NOUN
ap-951	554	38	q	q	PUNCT
ap-951	554	39	z	z	VERB
ap-951	554	40	�	�	PROPN
ap-951	554	41	1	1	NUM
ap-951	554	42	�	�	PROPN
ap-951	554	43	�	�	PROPN
ap-951	554	44	,	,	PUNCT
ap-951	554	45	(	(	PUNCT
ap-951	554	46	4.46	4.46	NUM
ap-951	554	47	)	)	PUNCT
ap-951	554	48	�	�	PROPN
ap-951	554	49	�	�	PROPN
ap-951	554	50	�	�	PROPN
ap-951	554	51	(	(	PUNCT
ap-951	554	52	,	,	PUNCT
ap-951	554	53	)	)	PUNCT
ap-951	555	1	~	~	PUNCT
ap-951	555	2	(	(	PUNCT
ap-951	555	3	,	,	PUNCT
ap-951	555	4	)	)	PUNCT
ap-951	555	5	(	(	PUNCT
ap-951	555	6	,	,	PUNCT
ap-951	555	7	)	)	PUNCT
ap-951	555	8	(	(	PUNCT
ap-951	555	9	(	(	PUNCT
ap-951	555	10	)	)	PUNCT
ap-951	555	11	)	)	PUNCT
ap-951	555	12	z	z	NOUN
ap-951	555	13	z	z	NOUN
ap-951	555	14	z	z	PUNCT
ap-951	555	15	u	u	NOUN
ap-951	555	16	j	j	PROPN
ap-951	555	17	�	�	PROPN
ap-951	555	18	�	�	PROPN
ap-951	555	19	�	�	PROPN
ap-951	555	20	�	�	PROPN
ap-951	555	21	�	�	PROPN
ap-951	555	22	diag	diag	PROPN
ap-951	555	23	e	e	X
ap-951	555	24	.	.	PUNCT
ap-951	556	1	(	(	PUNCT
ap-951	556	2	4.47	4.47	X
ap-951	556	3	)	)	PUNCT
ap-951	556	4	consider	consider	VERB
ap-951	556	5	the	the	DET
ap-951	556	6	modification	modification	NOUN
ap-951	556	7	at	at	ADP
ap-951	556	8	z	z	PROPN
ap-951	556	9	�	�	PROPN
ap-951	556	10	0	0	NUM
ap-951	556	11	.	.	PUNCT
ap-951	557	1	the	the	DET
ap-951	557	2	lax	lax	ADJ
ap-951	557	3	matrix	matrix	NOUN
ap-951	557	4	of	of	ADP
ap-951	557	5	the	the	DET
ap-951	557	6	cms	cms	NOUN
ap-951	557	7	has	have	VERB
ap-951	557	8	the	the	DET
ap-951	557	9	first	first	ADJ
ap-951	557	10	order	order	NOUN
ap-951	557	11	pole	pole	NOUN
ap-951	557	12	l	l	PROPN
ap-951	557	13	z	z	PROPN
ap-951	557	14	jcm	jcm	PROPN
ap-951	557	15	~	~	PUNCT
ap-951	557	16	1	1	X
ap-951	557	17	.	.	PUNCT
ap-951	558	1	its	its	PRON
ap-951	558	2	residue	residue	NOUN
ap-951	558	3	has	have	VERB
ap-951	558	4	an	an	DET
ap-951	558	5	eigen	eigen	NOUN
ap-951	558	6	-	-	PUNCT
ap-951	558	7	vector	vector	PROPN
ap-951	558	8	t	t	PROPN
ap-951	558	9	�	�	PROPN
ap-951	558	10	(	(	PUNCT
ap-951	558	11	,	,	PUNCT
ap-951	558	12	,	,	PUNCT
ap-951	558	13	)	)	PUNCT
ap-951	558	14	1	1	NUM
ap-951	558	15	1	1	NUM
ap-951	558	16	�	�	PROPN
ap-951	558	17	with	with	ADP
ap-951	558	18	the	the	DET
ap-951	558	19	eigen	eigen	NOUN
ap-951	558	20	-	-	PUNCT
ap-951	558	21	value	value	NOUN
ap-951	558	22	n	n	X
ap-951	558	23	�	�	PROPN
ap-951	558	24	1	1	NUM
ap-951	558	25	.	.	PUNCT
ap-951	559	1	the	the	DET
ap-951	559	2	matrix	matrix	NOUN
ap-951	559	3	�	�	PROPN
ap-951	559	4	satisfying	satisfying	NOUN
ap-951	559	5	(	(	PUNCT
ap-951	559	6	4.46	4.46	NUM
ap-951	559	7	)	)	PUNCT
ap-951	559	8	and	and	CCONJ
ap-951	559	9	(	(	PUNCT
ap-951	559	10	4.47	4.47	NUM
ap-951	559	11	)	)	PUNCT
ap-951	559	12	that	that	PRON
ap-951	559	13	annihilates	annihilate	VERB
ap-951	559	14	the	the	DET
ap-951	559	15	vector	vector	NOUN
ap-951	559	16	has	have	VERB
ap-951	559	17	the	the	DET
ap-951	559	18	form	form	NOUN
ap-951	559	19	�	�	PROPN
ap-951	559	20	�	�	PROPN
ap-951	559	21	(	(	PUNCT
ap-951	559	22	)	)	PUNCT
ap-951	559	23	~	~	PUNCT
ap-951	559	24	(	(	PUNCT
ap-951	559	25	)	)	PUNCT
ap-951	559	26	(	(	PUNCT
ap-951	559	27	)	)	PUNCT
ap-951	559	28	(	(	PUNCT
ap-951	559	29	,	,	PUNCT
ap-951	559	30	)	)	PUNCT
ap-951	559	31	;	;	PUNCT
ap-951	559	32	,	,	PUNCT
ap-951	559	33	z	z	NOUN
ap-951	559	34	z	z	X
ap-951	559	35	u	u	NOUN
ap-951	559	36	ul	ul	INTJ
ap-951	559	37	k	k	PROPN
ap-951	559	38	j	j	PROPN
ap-951	560	1	j	j	PROPN
ap-951	560	2	k	k	PROPN
ap-951	560	3	j	j	PROPN
ap-951	560	4	k	k	PROPN
ap-951	560	5	l	l	PROPN
ap-951	560	6	�	�	PROPN
ap-951	560	7	�	�	PROPN
ap-951	560	8	�	�	PROPN
ap-951	560	9	�	�	PROPN
ap-951	560	10	�	�	PROPN
ap-951	560	11	�	�	PROPN
ap-951	560	12	�	�	PROPN
ap-951	560	13	�	�	PROPN
ap-951	560	14	�	�	PROPN
ap-951	560	15	�	�	PROPN
ap-951	560	16	�	�	PROPN
ap-951	560	17	�	�	PROPN
ap-951	560	18	�	�	PROPN
ap-951	560	19	'	'	PART
ap-951	560	20	#	#	SYM
ap-951	560	21	diag	diag	NOUN
ap-951	560	22	1	1	NUM
ap-951	560	23	�	�	PROPN
ap-951	560	24	�	�	PROPN
ap-951	560	25	~	~	PUNCT
ap-951	560	26	(	(	PUNCT
ap-951	560	27	,	,	PUNCT
ap-951	560	28	,	,	PUNCT
ap-951	560	29	,	,	PUNCT
ap-951	560	30	,	,	PUNCT
ap-951	560	31	)	)	PUNCT
ap-951	561	1	(	(	PUNCT
ap-951	561	2	,	,	PUNCT
ap-951	561	3	)	)	PUNCT
ap-951	561	4	�	�	PROPN
ap-951	561	5	ij	ij	NOUN
ap-951	561	6	n	n	NOUN
ap-951	561	7	jz	jz	PROPN
ap-951	561	8	u	u	NOUN
ap-951	561	9	u	u	NOUN
ap-951	561	10	i	i	VERB
ap-951	561	11	n	n	VERB
ap-951	561	12	n	n	PROPN
ap-951	561	13	z	z	PROPN
ap-951	561	14	nu	nu	INTJ
ap-951	561	15	n1	n1	NOUN
ap-951	561	16	1	1	NUM
ap-951	561	17	2	2	NUM
ap-951	561	18	2	2	NUM
ap-951	561	19	�	�	PROPN
ap-951	561	20	�	�	PROPN
ap-951	561	21	�	�	PROPN
ap-951	561	22	�	�	PROPN
ap-951	561	23	�	�	PROPN
ap-951	561	24	�	�	PROPN
ap-951	561	25	,	,	PUNCT
ap-951	561	26	.	.	PUNCT
ap-951	561	27	.	.	PUNCT
ap-951	561	28	.	.	PUNCT
ap-951	562	1	/	/	SYM
ap-951	562	2	0	0	NUM
ap-951	562	3	1	1	NUM
ap-951	562	4	1	1	NUM
ap-951	562	5	1	1	NUM
ap-951	562	6	�	�	PROPN
ap-951	562	7	.	.	PUNCT
ap-951	563	1	here	here	ADV
ap-951	563	2	�	�	PROPN
ap-951	563	3	�	�	PROPN
ap-951	563	4	i	i	PROPN
ap-951	563	5	n	n	PROPN
ap-951	563	6	n	n	CCONJ
ap-951	563	7	jz	jz	PROPN
ap-951	563	8	nu	nu	PROPN
ap-951	563	9	n	n	X
ap-951	563	10	�	�	PROPN
ap-951	563	11	,	,	PUNCT
ap-951	563	12	.	.	PUNCT
ap-951	563	13	/	/	SYM
ap-951	563	14	0	0	NUM
ap-951	563	15	1	1	NUM
ap-951	563	16	�	�	NOUN
ap-951	563	17	1	1	NUM
ap-951	563	18	2	2	NUM
ap-951	563	19	2	2	NUM
ap-951	563	20	(	(	PUNCT
ap-951	563	21	,	,	PUNCT
ap-951	563	22	)	)	PUNCT
ap-951	563	23	is	be	AUX
ap-951	563	24	the	the	DET
ap-951	563	25	theta	theta	NOUN
ap-951	563	26	-	-	PUNCT
ap-951	563	27	function	function	NOUN
ap-951	563	28	with	with	ADP
ap-951	563	29	a	a	DET
ap-951	563	30	characteristic	characteristic	NOUN
ap-951	563	31	.	.	PUNCT
ap-951	564	1	the	the	DET
ap-951	564	2	determinant	determinant	NOUN
ap-951	564	3	of	of	ADP
ap-951	564	4	�	�	PROPN
ap-951	564	5	can	can	AUX
ap-951	564	6	be	be	AUX
ap-951	564	7	calculated	calculate	VERB
ap-951	564	8	explicitly	explicitly	ADV
ap-951	564	9	det	det	X
ap-951	564	10	~	~	PUNCT
ap-951	564	11	(	(	PUNCT
ap-951	564	12	,	,	PUNCT
ap-951	564	13	,	,	PUNCT
ap-951	564	14	,	,	PUNCT
ap-951	564	15	,	,	PUNCT
ap-951	564	16	)	)	PUNCT
ap-951	564	17	(	(	PUNCT
ap-951	564	18	)	)	PUNCT
ap-951	564	19	(	(	PUNCT
ap-951	564	20	)	)	PUNCT
ap-951	564	21	(	(	PUNCT
ap-951	564	22	)	)	PUNCT
ap-951	564	23	(	(	PUNCT
ap-951	564	24	�	�	X
ap-951	564	25	ij	ij	NOUN
ap-951	564	26	n	n	ADP
ap-951	564	27	l	l	NOUN
ap-951	564	28	kz	kz	PROPN
ap-951	564	29	u	u	PROPN
ap-951	564	30	u	u	NOUN
ap-951	565	1	i	i	PRON
ap-951	565	2	z	z	VERB
ap-951	566	1	i	i	PRON
ap-951	567	1	u	u	VERB
ap-951	567	2	u1	u1	VERB
ap-951	567	3	�	�	PROPN
ap-951	567	4	�	�	PROPN
ap-951	567	5	!	!	PUNCT
ap-951	568	1	�	�	PROPN
ap-951	568	2	�	�	PROPN
ap-951	568	3	!	!	PUNCT
ap-951	568	4	�	�	PROPN
ap-951	568	5	�	�	PROPN
ap-951	568	6	,	,	PUNCT
ap-951	568	7	.	.	PUNCT
ap-951	568	8	.	.	PUNCT
ap-951	569	1	/	/	SYM
ap-951	569	2	0	0	NUM
ap-951	569	3	1	1	NUM
ap-951	569	4	1	1	NUM
ap-951	569	5	�	�	PROPN
ap-951	569	6	�	�	PROPN
ap-951	569	7	)	)	PUNCT
ap-951	570	1	(	(	PUNCT
ap-951	570	2	)	)	PUNCT
ap-951	570	3	i	i	PRON
ap-951	570	4	k	k	NOUN
ap-951	570	5	l	l	NOUN
ap-951	570	6	n	n	PROPN
ap-951	570	7	!	!	PUNCT
ap-951	571	1	�	�	PROPN
ap-951	571	2	12	12	NUM
ap-951	571	3	'	'	NUM
ap-951	571	4	2	2	NUM
ap-951	571	5	#	#	NOUN
ap-951	571	6	,	,	PUNCT
ap-951	571	7	where	where	SCONJ
ap-951	571	8	!	!	PUNCT
ap-951	572	1	�	�	PROPN
ap-951	572	2	(	(	PUNCT
ap-951	572	3	)	)	PUNCT
ap-951	572	4	(	(	PUNCT
ap-951	572	5	)	)	PUNCT
ap-951	572	6	�	�	PROPN
ap-951	572	7	�	�	PROPN
ap-951	572	8	�	�	PROPN
ap-951	572	9	#	#	SYM
ap-951	572	10	q	q	NOUN
ap-951	572	11	qn	qn	NOUN
ap-951	573	1	n	n	PROPN
ap-951	574	1	1	1	NUM
ap-951	574	2	24	24	NUM
ap-951	574	3	1	1	NUM
ap-951	574	4	0	0	NUM
ap-951	574	5	is	be	AUX
ap-951	574	6	the	the	DET
ap-951	574	7	dedekind	dedekind	ADJ
ap-951	574	8	function	function	NOUN
ap-951	574	9	.	.	PUNCT
ap-951	575	1	it	it	PRON
ap-951	575	2	has	have	VERB
ap-951	575	3	a	a	DET
ap-951	575	4	simple	simple	ADJ
ap-951	575	5	pole	pole	NOUN
ap-951	575	6	at	at	ADP
ap-951	575	7	z	z	PROPN
ap-951	575	8	�	�	PROPN
ap-951	575	9	0	0	NUM
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ap-951	575	11	therefore	therefore	ADV
ap-951	575	12	�	�	PROPN
ap-951	575	13	is	be	AUX
ap-951	575	14	degenerate	degenerate	ADJ
ap-951	575	15	.	.	PUNCT
ap-951	576	1	we	we	PRON
ap-951	576	2	use	use	VERB
ap-951	576	3	the	the	DET
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ap-951	576	5	to	to	PART
ap-951	576	6	write	write	VERB
ap-951	576	7	down	down	ADP
ap-951	576	8	the	the	DET
ap-951	576	9	interrelations	interrelation	NOUN
ap-951	576	10	between	between	ADP
ap-951	576	11	the	the	DET
ap-951	576	12	coordinates	coordinate	NOUN
ap-951	576	13	and	and	CCONJ
ap-951	576	14	momenta	momenta	NOUN
ap-951	576	15	of	of	ADP
ap-951	576	16	the	the	DET
ap-951	576	17	calogero	calogero	PROPN
ap-951	576	18	-	-	PUNCT
ap-951	576	19	moser	moser	PROPN
ap-951	576	20	particles	particle	NOUN
ap-951	576	21	and	and	CCONJ
ap-951	576	22	the	the	DET
ap-951	576	23	orbit	orbit	NOUN
ap-951	576	24	variables	variable	NOUN
ap-951	576	25	of	of	ADP
ap-951	576	26	the	the	DET
ap-951	576	27	elliptic	elliptic	ADJ
ap-951	576	28	top	top	NOUN
ap-951	576	29	in	in	ADP
ap-951	576	30	the	the	DET
ap-951	576	31	sl	sl	NOUN
ap-951	576	32	(	(	PUNCT
ap-951	576	33	,	,	PUNCT
ap-951	576	34	)	)	PUNCT
ap-951	576	35	2	2	NUM
ap-951	576	36	�	�	PROPN
ap-951	576	37	case	case	NOUN
ap-951	576	38	s	s	VERB
ap-951	576	39	v	v	NUM
ap-951	576	40	u	u	PROPN
ap-951	576	41	u1	u1	NOUN
ap-951	576	42	10	10	NUM
ap-951	576	43	10	10	NUM
ap-951	576	44	10	10	NUM
ap-951	576	45	2	2	NUM
ap-951	576	46	01	01	NUM
ap-951	576	47	0	0	NUM
ap-951	576	48	0	0	NUM
ap-951	576	49	2	2	NUM
ap-951	576	50	2	2	NUM
ap-951	576	51	0	0	NUM
ap-951	576	52	0	0	NUM
ap-951	576	53	0	0	NUM
ap-951	576	54	�	�	PROPN
ap-951	576	55	�	�	PROPN
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ap-951	576	57	�	�	PROPN
ap-951	576	58	�	�	PROPN
ap-951	576	59	�	�	PROPN
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ap-951	576	62	�	�	PROPN
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ap-951	576	65	�	�	PROPN
ap-951	576	66	"	"	PUNCT
ap-951	576	67	"	"	PUNCT
ap-951	576	68	(	(	PUNCT
ap-951	576	69	)	)	PUNCT
ap-951	576	70	(	(	PUNCT
ap-951	576	71	)	)	PUNCT
ap-951	576	72	(	(	PUNCT
ap-951	576	73	)	)	PUNCT
ap-951	576	74	(	(	PUNCT
ap-951	576	75	)	)	PUNCT
ap-951	576	76	(	(	PUNCT
ap-951	576	77	)	)	PUNCT
ap-951	576	78	(	(	PUNCT
ap-951	576	79	)	)	PUNCT
ap-951	576	80	(	(	PUNCT
ap-951	576	81	)	)	PUNCT
ap-951	576	82	"	"	PUNCT
ap-951	576	83	"	"	PUNCT
ap-951	576	84	"	"	PUNCT
ap-951	576	85	"	"	PUNCT
ap-951	576	86	"	"	PUNCT
ap-951	576	87	"	"	PUNCT
ap-951	576	88	�	�	PROPN
ap-951	576	89	�	�	PROPN
ap-951	576	90	�	�	PROPN
ap-951	576	91	�	�	PROPN
ap-951	576	92	�	�	PROPN
ap-951	576	93	�	�	PROPN
ap-951	576	94	(	(	PUNCT
ap-951	576	95	)	)	PUNCT
ap-951	576	96	(	(	PUNCT
ap-951	576	97	)	)	PUNCT
ap-951	576	98	(	(	PUNCT
ap-951	576	99	)	)	PUNCT
ap-951	576	100	,	,	PUNCT
ap-951	576	101	(	(	PUNCT
ap-951	576	102	)	)	PUNCT
ap-951	576	103	(	(	PUNCT
ap-951	576	104	)	)	PUNCT
ap-951	576	105	(	(	PUNCT
ap-951	576	106	)	)	PUNCT
ap-951	576	107	(	(	PUNCT
ap-951	576	108	)	)	PUNCT
ap-951	576	109	2	2	NUM
ap-951	576	110	2	2	NUM
ap-951	576	111	2	2	NUM
ap-951	576	112	0	0	NUM
ap-951	576	113	0	0	NUM
ap-951	576	114	2	2	NUM
ap-951	576	115	2	2	NUM
ap-951	576	116	01	01	NUM
ap-951	576	117	2	2	NUM
ap-951	576	118	2	2	NUM
ap-951	576	119	u	u	NOUN
ap-951	576	120	u	u	NOUN
ap-951	576	121	u	u	NOUN
ap-951	576	122	s	s	PROPN
ap-951	576	123	v	v	NUM
ap-951	576	124	u	u	PROPN
ap-951	576	125	u	u	PROPN
ap-951	576	126	�	�	PROPN
ap-951	576	127	�	�	PROPN
ap-951	576	128	�	�	PROPN
ap-951	576	129	�	�	PROPN
ap-951	576	130	�	�	PROPN
ap-951	576	131	�	�	PROPN
ap-951	576	132	�	�	PROPN
ap-951	576	133	�	�	PROPN
ap-951	576	134	�	�	PROPN
ap-951	576	135	�	�	PROPN
ap-951	576	136	�	�	PROPN
ap-951	576	137	"	"	PUNCT
ap-951	576	138	"	"	PUNCT
ap-951	576	139	2	2	NUM
ap-951	576	140	10	10	NUM
ap-951	576	141	01	01	NUM
ap-951	576	142	10	10	NUM
ap-951	576	143	01	01	NUM
ap-951	576	144	2	2	NUM
ap-951	576	145	3	3	NUM
ap-951	576	146	01	01	NUM
ap-951	576	147	0	0	NUM
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ap-951	576	149	0	0	NUM
ap-951	576	150	2	2	NUM
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ap-951	576	152	2	2	NUM
ap-951	576	153	0	0	NUM
ap-951	576	154	(	(	PUNCT
ap-951	576	155	)	)	PUNCT
ap-951	576	156	(	(	PUNCT
ap-951	576	157	)	)	PUNCT
ap-951	576	158	(	(	PUNCT
ap-951	576	159	)	)	PUNCT
ap-951	576	160	(	(	PUNCT
ap-951	576	161	)	)	PUNCT
ap-951	576	162	(	(	PUNCT
ap-951	576	163	)	)	PUNCT
ap-951	576	164	(	(	PUNCT
ap-951	576	165	)	)	PUNCT
ap-951	576	166	,	,	PUNCT
ap-951	576	167	(	(	PUNCT
ap-951	576	168	u	u	NOUN
ap-951	576	169	u	u	X
ap-951	576	170	u	u	NOUN
ap-951	576	171	s	s	PROPN
ap-951	576	172	v	v	PRON
ap-951	576	173	�	�	PROPN
ap-951	576	174	�	�	PROPN
ap-951	576	175	)	)	PUNCT
ap-951	576	176	(	(	PUNCT
ap-951	576	177	)	)	PUNCT
ap-951	576	178	(	(	PUNCT
ap-951	576	179	)	)	PUNCT
ap-951	576	180	(	(	PUNCT
ap-951	576	181	)	)	PUNCT
ap-951	576	182	(	(	PUNCT
ap-951	576	183	)	)	PUNCT
ap-951	576	184	(	(	PUNCT
ap-951	576	185	)	)	PUNCT
ap-951	576	186	(	(	PUNCT
ap-951	576	187	)	)	PUNCT
ap-951	576	188	(	(	PUNCT
ap-951	576	189	)	)	PUNCT
ap-951	576	190	(	(	PUNCT
ap-951	576	191	�	�	PROPN
ap-951	576	192	�	�	PROPN
ap-951	576	193	�	�	PROPN
ap-951	576	194	�	�	PROPN
ap-951	576	195	�	�	PROPN
ap-951	576	196	�	�	PROPN
ap-951	576	197	�	�	PROPN
ap-951	576	198	�	�	PROPN
ap-951	576	199	�	�	PROPN
ap-951	576	200	�	�	PROPN
ap-951	576	201	"	"	PUNCT
ap-951	576	202	"	"	PUNCT
ap-951	576	203	"	"	PUNCT
ap-951	576	204	"	"	PUNCT
ap-951	576	205	0	0	NUM
ap-951	576	206	2	2	NUM
ap-951	576	207	2	2	NUM
ap-951	576	208	0	0	NUM
ap-951	576	209	0	0	NUM
ap-951	576	210	0	0	NUM
ap-951	576	211	201	201	NUM
ap-951	576	212	01	01	NUM
ap-951	576	213	2	2	NUM
ap-951	576	214	10	10	NUM
ap-951	576	215	10u	10u	NOUN
ap-951	576	216	u	u	NOUN
ap-951	576	217	u	u	NOUN
ap-951	576	218	2	2	NUM
ap-951	576	219	22	22	NUM
ap-951	576	220	u	u	NOUN
ap-951	576	221	u	u	NOUN
ap-951	576	222	)	)	PUNCT
ap-951	576	223	(	(	PUNCT
ap-951	576	224	)	)	PUNCT
ap-951	576	225	.	.	PUNCT
ap-951	577	1	�	�	PROPN
ap-951	577	2	(	(	PUNCT
ap-951	577	3	4.48	4.48	NUM
ap-951	577	4	)	)	PUNCT
ap-951	577	5	here	here	ADV
ap-951	577	6	�	�	PROPN
ap-951	577	7	�	�	PROPN
ap-951	577	8	�	�	PROPN
ap-951	577	9	�	�	PROPN
ap-951	577	10	1	1	NUM
ap-951	577	11	0	0	NUM
ap-951	577	12	1	1	NUM
ap-951	577	13	2	2	NUM
ap-951	577	14	0	0	NUM
ap-951	577	15	0	0	NUM
ap-951	577	16	1	1	NUM
ap-951	577	17	2	2	NUM
ap-951	577	18	1	1	NUM
ap-951	577	19	2	2	NUM
ap-951	577	20	2	2	NUM
ap-951	577	21	2	2	NUM
ap-951	577	22	2	2	NUM
ap-951	577	23	1	1	NUM
ap-951	577	24	2	2	NUM
ap-951	577	25	,	,	PUNCT
ap-951	577	26	,	,	PUNCT
ap-951	577	27	exp	exp	NOUN
ap-951	577	28	(	(	PUNCT
ap-951	577	29	)	)	PUNCT
ap-951	577	30	,	,	PUNCT
ap-951	577	31	exp	exp	NOUN
ap-951	577	32	�	�	PROPN
ap-951	577	33	�	�	PROPN
ap-951	577	34	�	�	PROPN
ap-951	577	35	�	�	PROPN
ap-951	577	36	�	�	PROPN
ap-951	577	37	�	�	PROPN
ap-951	577	38	�	�	PROPN
ap-951	577	39	�	�	PROPN
ap-951	577	40	�	�	PROPN
ap-951	577	41	�	�	PROPN
ap-951	577	42	�	�	PROPN
ap-951	577	43	�	�	PROPN
ap-951	577	44	q	q	PROPN
ap-951	577	45	n	n	PROPN
ap-951	577	46	z	z	NOUN
ap-951	577	47	q	q	NOUN
ap-951	577	48	n	n	ADP
ap-951	577	49	n	n	CCONJ
ap-951	577	50	n	n	CCONJ
ap-951	577	51	�	�	PROPN
ap-951	577	52	nz	nz	PROPN
ap-951	577	53	q	q	PROPN
ap-951	577	54	nz	nz	PROPN
ap-951	577	55	n	n	CCONJ
ap-951	577	56	n	n	CCONJ
ap-951	577	57	n	n	CCONJ
ap-951	577	58	n	n	CCONJ
ap-951	577	59	�	�	PROPN
ap-951	577	60	�	�	PROPN
ap-951	577	61	�	�	PROPN
ap-951	577	62	�	�	PROPN
ap-951	577	63	�	�	PROPN
ap-951	577	64	�	�	PROPN
ap-951	577	65	�	�	PROPN
ap-951	577	66	�	�	PROPN
ap-951	577	67	�	�	PROPN
ap-951	577	68	�	�	PROPN
ap-951	577	69	�	�	PROPN
ap-951	577	70	�	�	PROPN
ap-951	577	71	�	�	PROPN
ap-951	577	72	�	�	PROPN
ap-951	577	73	�	�	PROPN
ap-951	577	74	,	,	PUNCT
ap-951	577	75	(	(	PUNCT
ap-951	577	76	)	)	PUNCT
ap-951	577	77	exp	exp	NOUN
ap-951	577	78	.	.	PUNCT
ap-951	577	79	,	,	PUNCT
ap-951	577	80	�	�	PROPN
ap-951	577	81	�	�	PROPN
ap-951	577	82	0	0	NUM
ap-951	577	83	1	1	NUM
ap-951	577	84	1	1	NUM
ap-951	577	85	2	2	NUM
ap-951	577	86	1	1	NUM
ap-951	577	87	21	21	NUM
ap-951	577	88	2	2	NUM
ap-951	577	89	2	2	NUM
ap-951	577	90	these	these	DET
ap-951	577	91	relations	relation	NOUN
ap-951	577	92	describe	describe	VERB
ap-951	577	93	the	the	DET
ap-951	577	94	darboux	darboux	NOUN
ap-951	577	95	coordinates	coordinate	NOUN
ap-951	577	96	(	(	PUNCT
ap-951	577	97	,	,	PUNCT
ap-951	577	98	)	)	PUNCT
ap-951	577	99	v	v	ADP
ap-951	577	100	u	u	PROPN
ap-951	577	101	�	�	PROPN
ap-951	577	102	�	�	PROPN
ap-951	577	103	2	2	NUM
ap-951	577	104	the	the	DET
ap-951	577	105	coadjoint	coadjoint	NOUN
ap-951	577	106	sl	sl	INTJ
ap-951	577	107	(	(	PUNCT
ap-951	577	108	,	,	PUNCT
ap-951	577	109	)	)	PUNCT
ap-951	577	110	2	2	NUM
ap-951	577	111	�	�	PROPN
ap-951	577	112	-orbit	-orbit	PROPN
ap-951	577	113	s	s	NOUN
ap-951	577	114	�	�	PROPN
ap-951	577	115	2	2	NUM
ap-951	577	116	2	2	NUM
ap-951	577	117	�	�	PROPN
ap-951	577	118	�	�	PROPN
ap-951	577	119	it	it	PRON
ap-951	577	120	turns	turn	VERB
ap-951	577	121	out	out	ADP
ap-951	577	122	that	that	SCONJ
ap-951	577	123	this	this	DET
ap-951	577	124	modification	modification	NOUN
ap-951	577	125	is	be	AUX
ap-951	577	126	equivalent	equivalent	ADJ
ap-951	577	127	to	to	ADP
ap-951	577	128	the	the	DET
ap-951	577	129	twist	twist	NOUN
ap-951	577	130	of	of	ADP
ap-951	577	131	r	r	NOUN
ap-951	577	132	-	-	PUNCT
ap-951	577	133	matrices	matrix	NOUN
ap-951	577	134	.	.	PUNCT
ap-951	578	1	namely	namely	ADV
ap-951	578	2	,	,	PUNCT
ap-951	578	3	it	it	PRON
ap-951	578	4	describes	describe	VERB
ap-951	578	5	the	the	DET
ap-951	578	6	passage	passage	NOUN
ap-951	578	7	from	from	ADP
ap-951	578	8	the	the	DET
ap-951	578	9	dynamical	dynamical	ADJ
ap-951	578	10	r	r	NOUN
ap-951	578	11	matrix	matrix	NOUN
ap-951	578	12	of	of	ADP
ap-951	578	13	the	the	DET
ap-951	578	14	irf	irf	PROPN
ap-951	578	15	models	model	NOUN
ap-951	578	16	to	to	ADP
ap-951	578	17	the	the	DET
ap-951	578	18	vertex	vertex	NOUN
ap-951	578	19	r	r	NOUN
ap-951	578	20	-	-	NOUN
ap-951	578	21	matrix	matrix	NOUN
ap-951	578	22	[	[	X
ap-951	578	23	25	25	NUM
ap-951	578	24	,	,	PUNCT
ap-951	578	25	26	26	NUM
ap-951	578	26	]	]	PUNCT
ap-951	578	27	.	.	PUNCT
ap-951	579	1	we	we	PRON
ap-951	579	2	do	do	AUX
ap-951	579	3	not	not	PART
ap-951	579	4	discuss	discuss	VERB
ap-951	579	5	this	this	DET
ap-951	579	6	aspect	aspect	NOUN
ap-951	579	7	of	of	ADP
ap-951	579	8	shc	shc	PROPN
ap-951	579	9	here	here	ADV
ap-951	579	10	.	.	PUNCT
ap-951	580	1	5	5	NUM
ap-951	580	2	4d	4d	PROPN
ap-951	580	3	theories	theorie	VERB
ap-951	580	4	5.1	5.1	NUM
ap-951	580	5	self	self	NOUN
ap-951	580	6	-	-	PUNCT
ap-951	580	7	dual	dual	ADJ
ap-951	580	8	ym	ym	PROPN
ap-951	580	9	equations	equation	NOUN
ap-951	580	10	and	and	CCONJ
ap-951	580	11	hitchin	hitchin	PROPN
ap-951	580	12	equations	equation	NOUN
ap-951	580	13	5.1.1	5.1.1	NUM
ap-951	580	14	2	2	NUM
ap-951	580	15	-	-	PUNCT
ap-951	580	16	d	d	NOUN
ap-951	580	17	self	self	NOUN
ap-951	580	18	-	-	PUNCT
ap-951	580	19	dual	dual	ADJ
ap-951	580	20	equations	equation	NOUN
ap-951	580	21	consider	consider	VERB
ap-951	580	22	a	a	DET
ap-951	580	23	rank	rank	NOUN
ap-951	580	24	n	n	PRON
ap-951	580	25	complex	complex	ADJ
ap-951	580	26	vector	vector	NOUN
ap-951	580	27	bundle	bundle	NOUN
ap-951	580	28	e	e	X
ap-951	580	29	over	over	ADP
ap-951	580	30	�	�	PROPN
ap-951	580	31	4	4	NUM
ap-951	580	32	with	with	ADP
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ap-951	580	34	x	x	SYM
ap-951	580	35	�	�	PROPN
ap-951	580	36	(	(	PUNCT
ap-951	580	37	,	,	PUNCT
ap-951	580	38	,	,	PUNCT
ap-951	580	39	,	,	PUNCT
ap-951	580	40	)	)	PUNCT
ap-951	580	41	x	x	SYM
ap-951	581	1	x	x	PUNCT
ap-951	581	2	x	x	SYM
ap-951	581	3	x1	x1	ADJ
ap-951	581	4	2	2	NUM
ap-951	581	5	3	3	NUM
ap-951	581	6	4	4	NUM
ap-951	581	7	.	.	PUNCT
ap-951	582	1	assume	assume	VERB
ap-951	582	2	that	that	SCONJ
ap-951	582	3	the	the	DET
ap-951	582	4	space	space	NOUN
ap-951	582	5	of	of	ADP
ap-951	582	6	sections	section	NOUN
ap-951	582	7	is	be	AUX
ap-951	582	8	equipped	equip	VERB
ap-951	582	9	with	with	ADP
ap-951	582	10	a	a	DET
ap-951	582	11	nondegenerate	nondegenerate	ADJ
ap-951	582	12	hermitian	hermitian	ADJ
ap-951	582	13	metric	metric	PROPN
ap-951	582	14	h	h	NOUN
ap-951	582	15	,	,	PUNCT
ap-951	582	16	(	(	PUNCT
ap-951	582	17	)	)	PUNCT
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ap-951	582	19	h	h	PROPN
ap-951	582	20	�	�	PROPN
ap-951	582	21	.	.	PUNCT
ap-951	583	1	it	it	PRON
ap-951	583	2	satisfies	satisfy	VERB
ap-951	583	3	the	the	DET
ap-951	583	4	following	follow	VERB
ap-951	583	5	condition	condition	NOUN
ap-951	583	6	dh	dh	NOUN
ap-951	584	1	x	x	PUNCT
ap-951	584	2	y	y	NOUN
ap-951	584	3	h	h	NOUN
ap-951	584	4	x	x	VERB
ap-951	585	1	y	y	NOUN
ap-951	585	2	h	h	NOUN
ap-951	585	3	x	x	VERB
ap-951	585	4	y	y	PROPN
ap-951	585	5	(	(	PUNCT
ap-951	585	6	,	,	PUNCT
ap-951	585	7	)	)	PUNCT
ap-951	585	8	(	(	PUNCT
ap-951	585	9	,	,	PUNCT
ap-951	585	10	)	)	PUNCT
ap-951	585	11	(	(	PUNCT
ap-951	585	12	,	,	PUNCT
ap-951	585	13	)	)	PUNCT
ap-951	585	14	�	�	PROPN
ap-951	585	15	!	!	PUNCT
ap-951	585	16	!	!	PUNCT
ap-951	586	1	,	,	PUNCT
ap-951	586	2	where	where	SCONJ
ap-951	586	3	!	!	PUNCT
ap-951	586	4	is	be	AUX
ap-951	586	5	a	a	DET
ap-951	586	6	connection	connection	NOUN
ap-951	586	7	on	on	ADP
ap-951	586	8	e.	e.	PROPN
ap-951	586	9	if	if	SCONJ
ap-951	586	10	dh	dh	PROPN
ap-951	586	11	x	x	SYM
ap-951	586	12	y	y	PROPN
ap-951	586	13	(	(	PUNCT
ap-951	586	14	,	,	PUNCT
ap-951	586	15	)	)	PUNCT
ap-951	586	16	�	�	PROPN
ap-951	586	17	0	0	NUM
ap-951	586	18	for	for	ADP
ap-951	586	19	vectors	vector	NOUN
ap-951	586	20	in	in	ADP
ap-951	586	21	fibers	fiber	NOUN
ap-951	586	22	y	y	PROPN
ap-951	586	23	v	v	PROPN
ap-951	586	24	�	�	PROPN
ap-951	586	25	,	,	PUNCT
ap-951	586	26	x	x	PROPN
ap-951	586	27	v	v	ADP
ap-951	586	28	t	t	PROPN
ap-951	586	29	�	�	PROPN
ap-951	586	30	~	~	PUNCT
ap-951	586	31	,	,	PUNCT
ap-951	586	32	then	then	ADV
ap-951	586	33	there	there	PRON
ap-951	586	34	exist	exist	VERB
ap-951	586	35	connections	connection	NOUN
ap-951	586	36	!	!	PUNCT
ap-951	587	1	�	�	PROPN
ap-951	587	2	j	j	PROPN
ap-951	587	3	x	x	X
ap-951	588	1	jj	jj	PROPN
ap-951	588	2	a	a	DET
ap-951	588	3	�	�	PROPN
ap-951	588	4	such	such	ADJ
ap-951	588	5	that	that	SCONJ
ap-951	588	6	a	a	DET
ap-951	588	7	a	a	DET
ap-951	588	8	�	�	PROPN
ap-951	588	9	�	�	PROPN
ap-951	588	10	�	�	PROPN
ap-951	588	11	�	�	PROPN
ap-951	588	12	�	�	PROPN
ap-951	588	13	h	h	PROPN
ap-951	588	14	dh	dh	NOUN
ap-951	588	15	h	h	PROPN
ap-951	588	16	h1	h1	PROPN
ap-951	588	17	1	1	NUM
ap-951	588	18	,	,	PUNCT
ap-951	588	19	(	(	PUNCT
ap-951	588	20	)	)	PUNCT
ap-951	588	21	a	a	DET
ap-951	588	22	�	�	PROPN
ap-951	588	23	�	�	PROPN
ap-951	588	24	�	�	PROPN
ap-951	588	25	a	a	DET
ap-951	588	26	dxj	dxj	NOUN
ap-951	588	27	j	j	PROPN
ap-951	588	28	j	j	PROPN
ap-951	588	29	0	0	NUM
ap-951	588	30	3	3	NUM
ap-951	588	31	.	.	PUNCT
ap-951	589	1	in	in	ADP
ap-951	589	2	this	this	DET
ap-951	589	3	situation	situation	NOUN
ap-951	589	4	the	the	DET
ap-951	589	5	transition	transition	NOUN
ap-951	589	6	functions	function	NOUN
ap-951	589	7	are	be	AUX
ap-951	589	8	reduced	reduce	VERB
ap-951	589	9	to	to	ADP
ap-951	589	10	the	the	DET
ap-951	589	11	unitary	unitary	ADJ
ap-951	589	12	group	group	NOUN
ap-951	589	13	su	su	PROPN
ap-951	589	14	gl	gl	PROPN
ap-951	589	15	(	(	PUNCT
ap-951	589	16	)	)	PUNCT
ap-951	589	17	(	(	PUNCT
ap-951	589	18	,	,	PUNCT
ap-951	589	19	)	)	PUNCT
ap-951	589	20	n	n	CCONJ
ap-951	589	21	n	n	CCONJ
ap-951	589	22	�	�	PROPN
ap-951	589	23	�	�	PROPN
ap-951	589	24	.	.	PUNCT
ap-951	590	1	let	let	VERB
ap-951	590	2	f	f	PROPN
ap-951	590	3	su	su	PROPN
ap-951	590	4	n	n	CCONJ
ap-951	590	5	(	(	PUNCT
ap-951	590	6	)	)	PUNCT
ap-951	590	7	(	(	PUNCT
ap-951	590	8	,	,	PUNCT
ap-951	590	9	(	(	PUNCT
ap-951	590	10	)	)	PUNCT
ap-951	590	11	)	)	PUNCT
ap-951	590	12	(	(	PUNCT
ap-951	590	13	)	)	PUNCT
ap-951	590	14	a	a	DET
ap-951	590	15	�	�	PROPN
ap-951	590	16	�	�	NOUN
ap-951	590	17	2	2	NUM
ap-951	590	18	4	4	NUM
ap-951	590	19	�	�	NOUN
ap-951	590	20	be	be	AUX
ap-951	590	21	the	the	DET
ap-951	590	22	curvature	curvature	NOUN
ap-951	590	23	fij	fij	PROPN
ap-951	590	24	i	i	PROPN
ap-951	590	25	j	j	PROPN
ap-951	590	26	�	�	PROPN
ap-951	590	27	!	!	PUNCT
ap-951	590	28	!	!	PUNCT
ap-951	591	1	[	[	PUNCT
ap-951	591	2	,	,	PUNCT
ap-951	591	3	]	]	PUNCT
ap-951	591	4	or	or	CCONJ
ap-951	591	5	f	f	X
ap-951	591	6	d	d	PROPN
ap-951	591	7	(	(	PUNCT
ap-951	591	8	)	)	PUNCT
ap-951	591	9	a	a	DET
ap-951	591	10	a	a	DET
ap-951	591	11	a	a	DET
ap-951	591	12	�	�	PROPN
ap-951	591	13	2	2	NUM
ap-951	591	14	.	.	PUNCT
ap-951	591	15	here	here	ADV
ap-951	591	16	su	su	PROPN
ap-951	591	17	(	(	PUNCT
ap-951	591	18	)	)	PUNCT
ap-951	591	19	{	{	PUNCT
ap-951	591	20	}	}	PUNCT
ap-951	591	21	n	n	NOUN
ap-951	591	22	x	x	NOUN
ap-951	591	23	x	x	SYM
ap-951	591	24	h	h	NOUN
ap-951	591	25	xh	xh	PROPN
ap-951	591	26	�	�	PROPN
ap-951	591	27	�	�	PROPN
ap-951	591	28	�	�	PROPN
ap-951	591	29	�	�	PROPN
ap-951	591	30	1	1	NUM
ap-951	591	31	.	.	PUNCT
ap-951	592	1	the	the	DET
ap-951	592	2	self	self	NOUN
ap-951	592	3	-	-	PUNCT
ap-951	592	4	duality	duality	NOUN
ap-951	592	5	equation	equation	NOUN
ap-951	592	6	f	f	PROPN
ap-951	592	7	f	f	X
ap-951	592	8	�	�	PROPN
ap-951	592	9	3	3	NUM
ap-951	592	10	,	,	PUNCT
ap-951	592	11	where	where	SCONJ
ap-951	592	12	3	3	NUM
ap-951	592	13	is	be	AUX
ap-951	592	14	the	the	DET
ap-951	592	15	hodge	hodge	PROPN
ap-951	592	16	operator	operator	NOUN
ap-951	592	17	in	in	ADP
ap-951	592	18	�	�	PROPN
ap-951	592	19	4	4	NUM
ap-951	592	20	takes	take	VERB
ap-951	592	21	the	the	DET
ap-951	592	22	form	form	NOUN
ap-951	593	1	f	f	PROPN
ap-951	593	2	f	f	PROPN
ap-951	594	1	f	f	PROPN
ap-951	594	2	f	f	PROPN
ap-951	594	3	f	f	PROPN
ap-951	594	4	f	f	PROPN
ap-951	594	5	01	01	NUM
ap-951	594	6	23	23	NUM
ap-951	594	7	02	02	NUM
ap-951	594	8	31	31	NUM
ap-951	594	9	03	03	NUM
ap-951	594	10	12	12	NUM
ap-951	594	11	�	�	PROPN
ap-951	594	12	�	�	PROPN
ap-951	594	13	�	�	PROPN
ap-951	594	14	�	�	PROPN
ap-951	594	15	�	�	PROPN
ap-951	594	16	%	%	NOUN
ap-951	594	17	�	�	PROPN
ap-951	594	18	%	%	NOUN
ap-951	594	19	(	(	PUNCT
ap-951	594	20	5.1	5.1	NUM
ap-951	594	21	)	)	PUNCT
ap-951	594	22	16	16	NUM
ap-951	594	23	©	©	PROPN
ap-951	594	24	czech	czech	PROPN
ap-951	594	25	technical	technical	PROPN
ap-951	594	26	university	university	PROPN
ap-951	594	27	publishing	publishing	NOUN
ap-951	594	28	house	house	NOUN
ap-951	594	29	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-951	594	30	acta	acta	PROPN
ap-951	594	31	polytechnica	polytechnica	PROPN
ap-951	594	32	vol	vol	NOUN
ap-951	594	33	.	.	PUNCT
ap-951	595	1	48	48	NUM
ap-951	595	2	no	no	NOUN
ap-951	595	3	.	.	PUNCT
ap-951	596	1	2/2008	2/2008	PROPN
ap-951	596	2	assume	assume	VERB
ap-951	596	3	that	that	SCONJ
ap-951	596	4	aj	aj	PROPN
ap-951	596	5	depend	depend	VERB
ap-951	596	6	only	only	ADV
ap-951	596	7	on	on	ADP
ap-951	596	8	(	(	PUNCT
ap-951	596	9	x1	x1	PROPN
ap-951	596	10	,	,	PUNCT
ap-951	596	11	x2	x2	PROPN
ap-951	596	12	)	)	PUNCT
ap-951	596	13	.	.	PUNCT
ap-951	597	1	this	this	PRON
ap-951	597	2	means	mean	VERB
ap-951	597	3	that	that	SCONJ
ap-951	597	4	the	the	DET
ap-951	597	5	fields	field	NOUN
ap-951	597	6	are	be	AUX
ap-951	597	7	invariant	invariant	ADJ
ap-951	597	8	under	under	ADP
ap-951	597	9	the	the	DET
ap-951	597	10	shifts	shift	NOUN
ap-951	597	11	in	in	ADP
ap-951	597	12	directions	direction	NOUN
ap-951	597	13	x0	x0	PROPN
ap-951	597	14	,	,	PUNCT
ap-951	597	15	x3	x3	PROPN
ap-951	597	16	.	.	PUNCT
ap-951	598	1	then	then	ADV
ap-951	598	2	(	(	PUNCT
ap-951	598	3	a0	a0	NOUN
ap-951	598	4	,	,	PUNCT
ap-951	598	5	a3	a3	NOUN
ap-951	598	6	)	)	PUNCT
ap-951	598	7	become	become	VERB
ap-951	598	8	adjoint	adjoint	NOUN
ap-951	598	9	-	-	PUNCT
ap-951	598	10	valued	value	VERB
ap-951	598	11	scalar	scalar	ADJ
ap-951	598	12	fields	field	NOUN
ap-951	598	13	which	which	PRON
ap-951	598	14	we	we	PRON
ap-951	598	15	denote	denote	VERB
ap-951	598	16	as	as	ADP
ap-951	598	17	(	(	PUNCT
ap-951	598	18	,	,	PUNCT
ap-951	598	19	)	)	PUNCT
ap-951	598	20	�	�	PROPN
ap-951	598	21	�	�	PROPN
ap-951	598	22	1	1	NUM
ap-951	598	23	2	2	NUM
ap-951	598	24	.	.	PUNCT
ap-951	599	1	they	they	PRON
ap-951	599	2	are	be	AUX
ap-951	599	3	called	call	VERB
ap-951	599	4	the	the	DET
ap-951	599	5	higgs	higgs	NOUN
ap-951	599	6	fields	field	NOUN
ap-951	599	7	.	.	PUNCT
ap-951	600	1	in	in	ADP
ap-951	600	2	fact	fact	NOUN
ap-951	600	3	,	,	PUNCT
ap-951	600	4	they	they	PRON
ap-951	600	5	will	will	AUX
ap-951	600	6	be	be	AUX
ap-951	600	7	associated	associate	VERB
ap-951	600	8	below	below	ADP
ap-951	600	9	with	with	ADP
ap-951	600	10	the	the	DET
ap-951	600	11	higgs	higgs	NOUN
ap-951	600	12	field	field	NOUN
ap-951	600	13	.	.	PUNCT
ap-951	601	1	in	in	ADP
ap-951	601	2	this	this	DET
ap-951	601	3	way	way	NOUN
ap-951	601	4	we	we	PRON
ap-951	601	5	come	come	VERB
ap-951	601	6	to	to	ADP
ap-951	601	7	the	the	DET
ap-951	601	8	self	self	NOUN
ap-951	601	9	-	-	PUNCT
ap-951	601	10	dual	dual	ADJ
ap-951	601	11	equations	equation	NOUN
ap-951	601	12	on	on	ADP
ap-951	601	13	the	the	DET
ap-951	601	14	plane	plane	NOUN
ap-951	601	15	�	�	NOUN
ap-951	601	16	2	2	NUM
ap-951	601	17	1	1	NUM
ap-951	601	18	2	2	NUM
ap-951	601	19	�	�	PROPN
ap-951	601	20	(	(	PUNCT
ap-951	601	21	,	,	PUNCT
ap-951	601	22	)	)	PUNCT
ap-951	601	23	x	x	SYM
ap-951	601	24	x	x	X
ap-951	601	25	�	�	PROPN
ap-951	601	26	�	�	PROPN
ap-951	601	27	f12	f12	NOUN
ap-951	601	28	1	1	NUM
ap-951	601	29	2	2	NUM
ap-951	601	30	�	�	PROPN
ap-951	601	31	�	�	PROPN
ap-951	601	32	�	�	PROPN
ap-951	601	33	,	,	PUNCT
ap-951	601	34	,	,	PUNCT
ap-951	601	35	(	(	PUNCT
ap-951	601	36	5.2	5.2	NUM
ap-951	601	37	)	)	PUNCT
ap-951	601	38	�	�	PROPN
ap-951	601	39	�	�	PROPN
ap-951	601	40	�	�	PROPN
ap-951	601	41	�	�	PROPN
ap-951	601	42	!	!	PUNCT
ap-951	601	43	�	�	PROPN
ap-951	601	44	!	!	PUNCT
ap-951	602	1	1	1	NUM
ap-951	602	2	1	1	NUM
ap-951	602	3	2	2	NUM
ap-951	602	4	2	2	NUM
ap-951	602	5	,	,	PUNCT
ap-951	602	6	,	,	PUNCT
ap-951	602	7	�	�	PROPN
ap-951	602	8	�	�	PROPN
ap-951	602	9	,	,	PUNCT
ap-951	602	10	(	(	PUNCT
ap-951	602	11	5.3	5.3	NUM
ap-951	602	12	)	)	PUNCT
ap-951	602	13	�	�	PROPN
ap-951	602	14	�	�	PROPN
ap-951	602	15	�	�	PROPN
ap-951	602	16	�	�	PROPN
ap-951	602	17	!	!	PUNCT
ap-951	602	18	�	�	PROPN
ap-951	602	19	!	!	PUNCT
ap-951	603	1	1	1	NUM
ap-951	603	2	2	2	NUM
ap-951	603	3	2	2	NUM
ap-951	603	4	1	1	NUM
ap-951	603	5	,	,	PUNCT
ap-951	603	6	,	,	PUNCT
ap-951	603	7	�	�	PROPN
ap-951	603	8	�	�	PROPN
ap-951	603	9	.	.	PUNCT
ap-951	604	1	(	(	PUNCT
ap-951	604	2	5.4	5.4	NUM
ap-951	604	3	)	)	PUNCT
ap-951	604	4	introduce	introduce	VERB
ap-951	604	5	complex	complex	ADJ
ap-951	604	6	coordinates	coordinate	NOUN
ap-951	605	1	z	z	NOUN
ap-951	605	2	x	x	SYM
ap-951	605	3	ix	ix	PRON
ap-951	605	4	�	�	PROPN
ap-951	605	5	1	1	NUM
ap-951	605	6	2	2	NUM
ap-951	605	7	,	,	PUNCT
ap-951	605	8	z	z	NOUN
ap-951	605	9	x	x	SYM
ap-951	605	10	ix	ix	PROPN
ap-951	605	11	�	�	PROPN
ap-951	605	12	�	�	PROPN
ap-951	605	13	1	1	NUM
ap-951	605	14	2	2	NUM
ap-951	605	15	and	and	CCONJ
ap-951	605	16	let	let	VERB
ap-951	605	17	�	�	PROPN
ap-951	605	18	�	�	PROPN
ap-951	605	19	!	!	PUNCT
ap-951	605	20	d	d	PROPN
ap-951	605	21	z	z	PROPN
ap-951	605	22	,	,	PUNCT
ap-951	605	23	�	�	PROPN
ap-951	605	24	�	�	PROPN
ap-951	605	25	�	�	PROPN
ap-951	605	26	!	!	PUNCT
ap-951	606	1	d	d	PROPN
ap-951	606	2	z	z	PROPN
ap-951	606	3	.	.	PUNCT
ap-951	607	1	consider	consider	VERB
ap-951	607	2	the	the	DET
ap-951	607	3	fields	field	NOUN
ap-951	607	4	,	,	PUNCT
ap-951	607	5	taking	take	VERB
ap-951	607	6	values	value	NOUN
ap-951	607	7	in	in	ADP
ap-951	607	8	the	the	DET
ap-951	607	9	lie	lie	NOUN
ap-951	607	10	algebra	algebra	NOUN
ap-951	607	11	sl	sl	INTJ
ap-951	607	12	(	(	PUNCT
ap-951	607	13	,	,	PUNCT
ap-951	607	14	)	)	PUNCT
ap-951	607	15	n	n	CCONJ
ap-951	607	16	�	�	PROPN
ap-951	607	17	�	�	PROPN
ap-951	607	18	�	�	PROPN
ap-951	607	19	z	z	PROPN
ap-951	607	20	z	z	NOUN
ap-951	608	1	i	i	PRON
ap-951	608	2	dz	dz	VERB
ap-951	608	3	i	i	PRON
ap-951	608	4	dz	dz	PROPN
ap-951	608	5	�	�	PROPN
ap-951	608	6	�	�	PROPN
ap-951	608	7	�	�	PROPN
ap-951	608	8	�	�	PROPN
ap-951	608	9	�	�	PROPN
ap-951	608	10	1	1	NUM
ap-951	608	11	2	2	NUM
ap-951	608	12	1	1	NUM
ap-951	608	13	2	2	NUM
ap-951	608	14	1	1	NUM
ap-951	608	15	0	0	NUM
ap-951	608	16	2	2	NUM
ap-951	608	17	1	1	NUM
ap-951	608	18	2	2	NUM
ap-951	608	19	1	1	NUM
ap-951	608	20	2	2	NUM
ap-951	608	21	0	0	NUM
ap-951	608	22	(	(	PUNCT
ap-951	608	23	)	)	PUNCT
ap-951	608	24	(	(	PUNCT
ap-951	608	25	,	,	PUNCT
ap-951	608	26	)	)	PUNCT
ap-951	608	27	,	,	PUNCT
ap-951	608	28	(	(	PUNCT
ap-951	608	29	)	)	PUNCT
ap-951	608	30	(	(	PUNCT
ap-951	608	31	,	,	PUNCT
ap-951	608	32	)	)	PUNCT
ap-951	608	33	(	(	PUNCT
ap-951	608	34	�	�	PROPN
ap-951	608	35	�	�	PROPN
ap-951	608	36	�	�	PROPN
ap-951	608	37	�	�	PROPN
ap-951	608	38	�	�	PROPN
ap-951	608	39	ad	ad	NOUN
ap-951	608	40	e	e	NOUN
ap-951	608	41	,	,	PUNCT
ap-951	608	42	)	)	PUNCT
ap-951	608	43	(	(	PUNCT
ap-951	608	44	,	,	PUNCT
ap-951	608	45	)	)	PUNCT
ap-951	608	46	.1	.1	NUM
ap-951	608	47	2	2	NUM
ap-951	608	48	�	�	PROPN
ap-951	608	49	ad	ad	NOUN
ap-951	608	50	e	e	X
ap-951	608	51	�	�	PROPN
ap-951	608	52	�	�	PROPN
ap-951	608	53	%	%	NOUN
ap-951	608	54	�	�	NOUN
ap-951	609	1	%	%	NOUN
ap-951	609	2	they	they	PRON
ap-951	609	3	are	be	AUX
ap-951	609	4	not	not	PART
ap-951	609	5	independent	independent	ADJ
ap-951	609	6	since	since	SCONJ
ap-951	609	7	the	the	DET
ap-951	609	8	hermitian	hermitian	ADJ
ap-951	609	9	conjugation	conjugation	NOUN
ap-951	609	10	acts	act	VERB
ap-951	609	11	as	as	ADP
ap-951	609	12	z	z	PROPN
ap-951	609	13	zh	zh	PROPN
ap-951	609	14	h	h	PROPN
ap-951	609	15	�	�	PROPN
ap-951	609	16	�	�	PROPN
ap-951	609	17	�	�	PROPN
ap-951	609	18	1	1	NUM
ap-951	609	19	.	.	PUNCT
ap-951	610	1	(	(	PUNCT
ap-951	610	2	5.5	5.5	NUM
ap-951	610	3	)	)	PUNCT
ap-951	610	4	similarly	similarly	ADV
ap-951	610	5	,	,	PUNCT
ap-951	610	6	a	a	DET
ap-951	610	7	a	a	DET
ap-951	610	8	ia	ia	NOUN
ap-951	610	9	a	a	DET
ap-951	610	10	a	a	PRON
ap-951	610	11	ia	ia	PROPN
ap-951	610	12	z	z	PROPN
ap-951	610	13	z	z	PROPN
ap-951	610	14	�	�	PROPN
ap-951	610	15	�	�	PROPN
ap-951	610	16	�	�	PROPN
ap-951	610	17	�	�	PROPN
ap-951	610	18	�	�	PROPN
ap-951	610	19	%	%	NOUN
ap-951	610	20	�	�	PROPN
ap-951	610	21	%	%	NOUN
ap-951	611	1	1	1	NUM
ap-951	611	2	2	2	NUM
ap-951	611	3	1	1	NUM
ap-951	611	4	2	2	NUM
ap-951	611	5	1	1	NUM
ap-951	611	6	2	2	NUM
ap-951	611	7	1	1	NUM
ap-951	611	8	2	2	NUM
ap-951	611	9	(	(	PUNCT
ap-951	611	10	)	)	PUNCT
ap-951	611	11	(	(	PUNCT
ap-951	611	12	)	)	PUNCT
ap-951	611	13	a	a	DET
ap-951	611	14	h	h	NOUN
ap-951	611	15	dh	dh	NOUN
ap-951	611	16	h	h	PROPN
ap-951	611	17	a	a	DET
ap-951	611	18	hz	hz	PROPN
ap-951	611	19	z	z	PROPN
ap-951	611	20	�	�	PROPN
ap-951	611	21	�	�	PROPN
ap-951	611	22	�	�	PROPN
ap-951	611	23	�	�	PROPN
ap-951	611	24	�	�	PROPN
ap-951	611	25	1	1	NUM
ap-951	611	26	1	1	NUM
ap-951	611	27	.	.	PUNCT
ap-951	612	1	(	(	PUNCT
ap-951	612	2	5.6	5.6	NUM
ap-951	612	3	)	)	PUNCT
ap-951	612	4	in	in	ADP
ap-951	612	5	terms	term	NOUN
ap-951	612	6	of	of	ADP
ap-951	612	7	fields	field	NOUN
ap-951	612	8	�	�	PROPN
ap-951	612	9	(	(	PUNCT
ap-951	612	10	,	,	PUNCT
ap-951	612	11	,	,	PUNCT
ap-951	612	12	,	,	PUNCT
ap-951	612	13	)	)	PUNCT
ap-951	612	14	a	a	DET
ap-951	612	15	a	a	DET
ap-951	612	16	f	f	NOUN
ap-951	612	17	fz	fz	INTJ
ap-951	612	18	z	z	PROPN
ap-951	612	19	z	z	PROPN
ap-951	612	20	(	(	PUNCT
ap-951	612	21	5.7	5.7	NUM
ap-951	612	22	)	)	PUNCT
ap-951	612	23	(	(	PUNCT
ap-951	612	24	5.2	5.2	NUM
ap-951	612	25	)	)	PUNCT
ap-951	612	26	–	–	PUNCT
ap-951	612	27	(	(	PUNCT
ap-951	612	28	5.4	5.4	NUM
ap-951	612	29	)	)	PUNCT
ap-951	612	30	can	can	AUX
ap-951	612	31	be	be	AUX
ap-951	612	32	rewritten	rewrite	VERB
ap-951	612	33	in	in	ADP
ap-951	612	34	the	the	DET
ap-951	612	35	coordinate	coordinate	NOUN
ap-951	612	36	invariant	invariant	ADJ
ap-951	612	37	way	way	NOUN
ap-951	612	38	:	:	PUNCT
ap-951	612	39	1	1	NUM
ap-951	612	40	0	0	NUM
ap-951	612	41	2	2	NUM
ap-951	612	42	0	0	NUM
ap-951	612	43	3	3	NUM
ap-951	612	44	0	0	NUM
ap-951	612	45	.	.	PUNCT
ap-951	613	1	[	[	PUNCT
ap-951	613	2	,	,	PUNCT
ap-951	613	3	]	]	PUNCT
ap-951	613	4	,	,	PUNCT
ap-951	613	5	.	.	PUNCT
ap-951	614	1	,	,	PUNCT
ap-951	614	2	.	.	PUNCT
ap-951	615	1	,	,	PUNCT
ap-951	615	2	f	f	PROPN
ap-951	615	3	d	d	PROPN
ap-951	615	4	d	d	PROPN
ap-951	615	5	z	z	PROPN
ap-951	615	6	z	z	NOUN
ap-951	615	7	z	z	NOUN
ap-951	615	8	z	z	PROPN
ap-951	615	9	�	�	PROPN
ap-951	615	10	�	�	PROPN
ap-951	615	11	�	�	PROPN
ap-951	615	12	�	�	PROPN
ap-951	615	13	�	�	PROPN
ap-951	615	14	�	�	PROPN
ap-951	615	15	�	�	PROPN
ap-951	615	16	�	�	PROPN
ap-951	615	17	%	%	NOUN
ap-951	615	18	�	�	PROPN
ap-951	615	19	%	%	NOUN
ap-951	615	20	(	(	PUNCT
ap-951	615	21	5.8	5.8	NUM
ap-951	615	22	)	)	PUNCT
ap-951	616	1	where	where	SCONJ
ap-951	616	2	[	[	PUNCT
ap-951	616	3	,	,	PUNCT
ap-951	616	4	]	]	PUNCT
ap-951	616	5	z	z	NOUN
ap-951	616	6	z	z	NOUN
ap-951	616	7	z	z	NOUN
ap-951	616	8	z	z	NOUN
ap-951	616	9	z	z	PUNCT
ap-951	616	10	z	z	PROPN
ap-951	616	11	�	�	PROPN
ap-951	616	12	.	.	PUNCT
ap-951	617	1	due	due	ADP
ap-951	617	2	to	to	ADP
ap-951	617	3	(	(	PUNCT
ap-951	617	4	5.5	5.5	NUM
ap-951	617	5	)	)	PUNCT
ap-951	617	6	and	and	CCONJ
ap-951	617	7	(	(	PUNCT
ap-951	617	8	5.6	5.6	NUM
ap-951	617	9	)	)	PUNCT
ap-951	617	10	the	the	DET
ap-951	617	11	third	third	ADJ
ap-951	617	12	equation	equation	NOUN
ap-951	617	13	is	be	AUX
ap-951	617	14	not	not	PART
ap-951	617	15	independent	independent	ADJ
ap-951	617	16	.	.	PUNCT
ap-951	618	1	thus	thus	ADV
ap-951	618	2	,	,	PUNCT
ap-951	618	3	we	we	PRON
ap-951	618	4	have	have	VERB
ap-951	618	5	two	two	NUM
ap-951	618	6	equations	equation	NOUN
ap-951	618	7	with	with	ADP
ap-951	618	8	the	the	DET
ap-951	618	9	left	left	ADJ
ap-951	618	10	side	side	NOUN
ap-951	618	11	of	of	ADP
ap-951	618	12	type	type	NOUN
ap-951	618	13	(	(	PUNCT
ap-951	618	14	1	1	NUM
ap-951	618	15	,	,	PUNCT
ap-951	618	16	1	1	NUM
ap-951	618	17	)	)	PUNCT
ap-951	618	18	for	for	ADP
ap-951	618	19	two	two	NUM
ap-951	618	20	complex	complex	ADJ
ap-951	618	21	valued	value	VERB
ap-951	618	22	fields	field	NOUN
ap-951	618	23	(	(	PUNCT
ap-951	618	24	)	)	PUNCT
ap-951	618	25	z	z	PROPN
ap-951	618	26	za	za	PROPN
ap-951	618	27	and	and	CCONJ
ap-951	618	28	the	the	DET
ap-951	618	29	hermitian	hermitian	ADJ
ap-951	618	30	matrix	matrix	NOUN
ap-951	618	31	h.	h.	PROPN
ap-951	618	32	equations	equations	PROPN
ap-951	618	33	(	(	PUNCT
ap-951	618	34	5.8	5.8	NUM
ap-951	618	35	)	)	PUNCT
ap-951	618	36	are	be	AUX
ap-951	618	37	conformal	conformal	ADJ
ap-951	618	38	invariant	invariant	ADJ
ap-951	618	39	and	and	CCONJ
ap-951	618	40	thereby	thereby	ADV
ap-951	618	41	can	can	AUX
ap-951	618	42	be	be	AUX
ap-951	618	43	defined	define	VERB
ap-951	618	44	on	on	ADP
ap-951	618	45	a	a	DET
ap-951	618	46	complex	complex	ADJ
ap-951	618	47	curve	curve	NOUN
ap-951	618	48	�	�	PROPN
ap-951	618	49	g.	g.	PROPN
ap-951	618	50	in	in	ADP
ap-951	618	51	this	this	DET
ap-951	618	52	case	case	NOUN
ap-951	618	53	�	�	PROPN
ap-951	618	54	�	�	PROPN
ap-951	618	55	z	z	PROPN
ap-951	618	56	g	g	PROPN
ap-951	618	57	n	n	CCONJ
ap-951	618	58	�	�	PROPN
ap-951	618	59	(	(	PUNCT
ap-951	618	60	,	,	PUNCT
ap-951	618	61	)	)	PUNCT
ap-951	618	62	(	(	PUNCT
ap-951	618	63	,	,	PUNCT
ap-951	618	64	(	(	PUNCT
ap-951	618	65	)	)	PUNCT
ap-951	618	66	)	)	PUNCT
ap-951	618	67	,	,	PUNCT
ap-951	618	68	1	1	NUM
ap-951	618	69	0	0	NUM
ap-951	618	70	su	su	PROPN
ap-951	618	71	,	,	PUNCT
ap-951	618	72	�	�	PROPN
ap-951	618	73	�	�	PROPN
ap-951	618	74	z	z	PROPN
ap-951	618	75	g	g	PROPN
ap-951	618	76	n	n	CCONJ
ap-951	618	77	�	�	PROPN
ap-951	618	78	(	(	PUNCT
ap-951	618	79	,	,	PUNCT
ap-951	618	80	)	)	PUNCT
ap-951	618	81	(	(	PUNCT
ap-951	618	82	,	,	PUNCT
ap-951	618	83	(	(	PUNCT
ap-951	618	84	)	)	PUNCT
ap-951	618	85	)	)	PUNCT
ap-951	618	86	,	,	PUNCT
ap-951	618	87	0	0	NUM
ap-951	618	88	1	1	NUM
ap-951	618	89	su	su	PROPN
ap-951	618	90	�	�	PROPN
ap-951	618	91	�	�	PROPN
ap-951	618	92	�	�	PROPN
ap-951	618	93	d	d	PROPN
ap-951	618	94	n	n	PROPN
ap-951	618	95	nj	nj	PROPN
ap-951	619	1	k	k	PROPN
ap-951	619	2	g	g	PROPN
ap-951	619	3	j	j	PROPN
ap-951	620	1	k	k	PROPN
ap-951	620	2	g	g	PROPN
ap-951	620	3	:	:	PUNCT
ap-951	620	4	(	(	PUNCT
ap-951	620	5	,	,	PUNCT
ap-951	620	6	(	(	PUNCT
ap-951	620	7	)	)	PUNCT
ap-951	620	8	)	)	PUNCT
ap-951	620	9	(	(	PUNCT
ap-951	620	10	,	,	PUNCT
ap-951	620	11	(	(	PUNCT
ap-951	620	12	)	)	PUNCT
ap-951	620	13	)	)	PUNCT
ap-951	620	14	.	.	PUNCT
ap-951	621	1	(	(	PUNCT
ap-951	621	2	,	,	PUNCT
ap-951	621	3	)	)	PUNCT
ap-951	621	4	(	(	PUNCT
ap-951	621	5	,	,	PUNCT
ap-951	621	6	)	)	PUNCT
ap-951	621	7	�	�	PROPN
ap-951	621	8	�	�	PROPN
ap-951	621	9	�	�	PROPN
ap-951	621	10	�	�	PROPN
ap-951	621	11	su	su	PROPN
ap-951	621	12	su1	su1	PROPN
ap-951	621	13	the	the	DET
ap-951	621	14	self	self	NOUN
ap-951	621	15	-	-	PUNCT
ap-951	621	16	duality	duality	NOUN
ap-951	621	17	equations	equation	NOUN
ap-951	621	18	(	(	PUNCT
ap-951	621	19	5.9	5.9	NUM
ap-951	621	20	)	)	PUNCT
ap-951	621	21	on	on	ADP
ap-951	621	22	�	�	PROPN
ap-951	621	23	g	g	NOUN
ap-951	621	24	are	be	AUX
ap-951	621	25	called	call	VERB
ap-951	621	26	the	the	DET
ap-951	621	27	hitchin	hitchin	PROPN
ap-951	621	28	equations	equation	NOUN
ap-951	621	29	.	.	PUNCT
ap-951	622	1	in	in	ADP
ap-951	622	2	fact	fact	NOUN
ap-951	622	3	,	,	PUNCT
ap-951	622	4	instead	instead	ADV
ap-951	622	5	of	of	ADP
ap-951	622	6	(	(	PUNCT
ap-951	622	7	5.8	5.8	NUM
ap-951	622	8	)	)	PUNCT
ap-951	622	9	we	we	PRON
ap-951	622	10	will	will	AUX
ap-951	622	11	consider	consider	VERB
ap-951	622	12	further	far	ADV
ap-951	622	13	a	a	DET
ap-951	622	14	modified	modify	VERB
ap-951	622	15	system	system	NOUN
ap-951	622	16	1	1	NUM
ap-951	622	17	0	0	NUM
ap-951	622	18	2	2	NUM
ap-951	622	19	0	0	NUM
ap-951	622	20	3	3	NUM
ap-951	622	21	0	0	NUM
ap-951	622	22	.	.	PUNCT
ap-951	623	1	[	[	PUNCT
ap-951	623	2	,	,	PUNCT
ap-951	623	3	]	]	PUNCT
ap-951	623	4	,	,	PUNCT
ap-951	623	5	.	.	PUNCT
ap-951	623	6	,	,	PUNCT
ap-951	623	7	.	.	PUNCT
ap-951	623	8	.	.	PUNCT
ap-951	624	1	f	f	X
ap-951	625	1	d	d	PROPN
ap-951	625	2	d	d	PROPN
ap-951	625	3	z	z	PROPN
ap-951	625	4	z	z	NOUN
ap-951	625	5	z	z	NOUN
ap-951	625	6	z	z	PROPN
ap-951	625	7	�	�	PROPN
ap-951	625	8	�	�	PROPN
ap-951	625	9	�	�	PROPN
ap-951	625	10	�	�	PROPN
ap-951	625	11	�	�	PROPN
ap-951	625	12	�	�	PROPN
ap-951	625	13	�	�	PROPN
ap-951	625	14	�	�	PROPN
ap-951	625	15	�	�	PROPN
ap-951	625	16	%	%	NOUN
ap-951	625	17	�	�	PROPN
ap-951	625	18	%	%	NOUN
ap-951	625	19	(	(	PUNCT
ap-951	625	20	5.9	5.9	NUM
ap-951	625	21	)	)	PUNCT
ap-951	625	22	this	this	PRON
ap-951	625	23	comes	come	VERB
ap-951	625	24	from	from	ADP
ap-951	625	25	the	the	DET
ap-951	625	26	self	self	NOUN
ap-951	625	27	-	-	PUNCT
ap-951	625	28	duality	duality	NOUN
ap-951	625	29	on	on	ADP
ap-951	625	30	�	�	PROPN
ap-951	625	31	4	4	NUM
ap-951	625	32	with	with	ADP
ap-951	625	33	a	a	DET
ap-951	625	34	metric	metric	NOUN
ap-951	625	35	of	of	ADP
ap-951	625	36	signature	signature	NOUN
ap-951	625	37	(	(	PUNCT
ap-951	625	38	2	2	NUM
ap-951	625	39	,	,	PUNCT
ap-951	625	40	2	2	NUM
ap-951	625	41	)	)	PUNCT
ap-951	625	42	.	.	PUNCT
ap-951	626	1	consider	consider	VERB
ap-951	626	2	the	the	DET
ap-951	626	3	gauge	gauge	ADJ
ap-951	626	4	group	group	NOUN
ap-951	626	5	action	action	NOUN
ap-951	626	6	on	on	ADP
ap-951	626	7	solutions	solution	NOUN
ap-951	626	8	of	of	ADP
ap-951	626	9	(	(	PUNCT
ap-951	626	10	5.9	5.9	NUM
ap-951	626	11	)	)	PUNCT
ap-951	626	12	�	�	PROPN
ap-951	626	13	�	�	PROPN
ap-951	626	14	�	�	PROPN
ap-951	626	15	�	�	PROPN
ap-951	626	16	�	�	PROPN
ap-951	626	17	f	f	PROPN
ap-951	626	18	ng	ng	PROPN
ap-951	626	19	�	�	PROPN
ap-951	626	20	�	�	PROPN
ap-951	626	21	0	0	NUM
ap-951	626	22	(	(	PUNCT
ap-951	626	23	,	,	PUNCT
ap-951	626	24	(	(	PUNCT
ap-951	626	25	)	)	PUNCT
ap-951	626	26	)	)	PUNCT
ap-951	626	27	su	su	NOUN
ap-951	626	28	,	,	PUNCT
ap-951	626	29	(	(	PUNCT
ap-951	626	30	5.10	5.10	NUM
ap-951	626	31	)	)	PUNCT
ap-951	627	1	z	z	NOUN
ap-951	627	2	z	z	NOUN
ap-951	628	1	z	z	NOUN
ap-951	629	1	zf	zf	PROPN
ap-951	630	1	f	f	PROPN
ap-951	630	2	f	f	PROPN
ap-951	630	3	f	f	X
ap-951	630	4	�	�	PROPN
ap-951	630	5	�	�	PROPN
ap-951	630	6	�	�	PROPN
ap-951	630	7	�	�	PROPN
ap-951	630	8	1	1	NUM
ap-951	630	9	1	1	NUM
ap-951	630	10	,	,	PUNCT
ap-951	630	11	,	,	PUNCT
ap-951	630	12	(	(	PUNCT
ap-951	630	13	5.11	5.11	NUM
ap-951	630	14	)	)	PUNCT
ap-951	630	15	�	�	PROPN
ap-951	630	16	�	�	PROPN
ap-951	630	17	�	�	PROPN
ap-951	630	18	�	�	PROPN
ap-951	630	19	�	�	PROPN
ap-951	630	20	�	�	PROPN
ap-951	630	21	d	d	NOUN
ap-951	630	22	f	f	PROPN
ap-951	630	23	d	d	PROPN
ap-951	630	24	f1	f1	PROPN
ap-951	630	25	.	.	PUNCT
ap-951	631	1	(	(	PUNCT
ap-951	631	2	5.12	5.12	NUM
ap-951	631	3	)	)	PUNCT
ap-951	631	4	if	if	SCONJ
ap-951	631	5	(	(	PUNCT
ap-951	631	6	,	,	PUNCT
ap-951	631	7	,	,	PUNCT
ap-951	631	8	,	,	PUNCT
ap-951	631	9	)	)	PUNCT
ap-951	631	10	a	a	DET
ap-951	631	11	az	az	PROPN
ap-951	631	12	z	z	PROPN
ap-951	631	13	z	z	NOUN
ap-951	631	14	are	be	AUX
ap-951	631	15	solutions	solution	NOUN
ap-951	631	16	of	of	ADP
ap-951	631	17	(	(	PUNCT
ap-951	631	18	5.9	5.9	NUM
ap-951	631	19	)	)	PUNCT
ap-951	631	20	,	,	PUNCT
ap-951	631	21	then	then	ADV
ap-951	631	22	the	the	DET
ap-951	631	23	transformed	transform	VERB
ap-951	631	24	fields	field	NOUN
ap-951	631	25	are	be	AUX
ap-951	631	26	also	also	ADV
ap-951	631	27	solutions	solution	NOUN
ap-951	631	28	.	.	PUNCT
ap-951	632	1	if	if	SCONJ
ap-951	632	2	f	f	PROPN
ap-951	632	3	takes	take	VERB
ap-951	632	4	values	value	NOUN
ap-951	632	5	in	in	ADP
ap-951	632	6	gl	gl	PROPN
ap-951	632	7	(	(	PUNCT
ap-951	632	8	,	,	PUNCT
ap-951	632	9	)	)	PUNCT
ap-951	632	10	n	n	X
ap-951	632	11	�	�	PROPN
ap-951	632	12	then	then	ADV
ap-951	632	13	it	it	PRON
ap-951	632	14	again	again	ADV
ap-951	632	15	transforms	transform	VERB
ap-951	632	16	solutions	solution	NOUN
ap-951	632	17	to	to	ADP
ap-951	632	18	solutions	solution	NOUN
ap-951	632	19	.	.	PUNCT
ap-951	633	1	as	as	ADP
ap-951	633	2	above	above	ADV
ap-951	633	3	we	we	PRON
ap-951	633	4	denote	denote	VERB
ap-951	633	5	this	this	DET
ap-951	633	6	gauge	gauge	NOUN
ap-951	633	7	group	group	NOUN
ap-951	633	8	as	as	ADP
ap-951	633	9	�	�	PROPN
ap-951	633	10	�	�	PROPN
ap-951	633	11	.	.	PUNCT
ap-951	634	1	define	define	VERB
ap-951	634	2	the	the	DET
ap-951	634	3	moduli	moduli	ADJ
ap-951	634	4	space	space	NOUN
ap-951	634	5	of	of	ADP
ap-951	634	6	solutions	solution	NOUN
ap-951	634	7	of	of	ADP
ap-951	634	8	(	(	PUNCT
ap-951	634	9	5.9	5.9	NUM
ap-951	634	10	)	)	PUNCT
ap-951	634	11	as	as	ADP
ap-951	634	12	a	a	DET
ap-951	634	13	quotient	quotient	NOUN
ap-951	634	14	under	under	ADP
ap-951	634	15	the	the	DET
ap-951	634	16	gauge	gauge	NOUN
ap-951	634	17	group	group	NOUN
ap-951	634	18	action	action	NOUN
ap-951	634	19	�	�	PROPN
ap-951	634	20	�	�	PROPN
ap-951	634	21	h	h	PROPN
ap-951	634	22	gs	gs	PROPN
ap-951	634	23	(	(	PUNCT
ap-951	634	24	)	)	PUNCT
ap-951	634	25	�	�	PROPN
ap-951	634	26	solutions	solution	NOUN
ap-951	634	27	of	of	ADP
ap-951	634	28	(	(	PUNCT
ap-951	634	29	5.9	5.9	NUM
ap-951	634	30	)	)	PUNCT
ap-951	634	31	/	/	PUNCT
ap-951	634	32	.	.	PUNCT
ap-951	635	1	now	now	ADV
ap-951	635	2	look	look	VERB
ap-951	635	3	at	at	ADP
ap-951	635	4	the	the	DET
ap-951	635	5	second	second	ADJ
ap-951	635	6	equation	equation	NOUN
ap-951	635	7	in	in	ADP
ap-951	635	8	(	(	PUNCT
ap-951	635	9	5.9	5.9	NUM
ap-951	635	10	)	)	PUNCT
ap-951	635	11	.	.	PUNCT
ap-951	636	1	it	it	PRON
ap-951	636	2	is	be	AUX
ap-951	636	3	the	the	DET
ap-951	636	4	moment	moment	NOUN
ap-951	636	5	constraint	constraint	NOUN
ap-951	636	6	equation	equation	NOUN
ap-951	636	7	for	for	ADP
ap-951	636	8	the	the	DET
ap-951	636	9	higgs	higgs	NOUN
ap-951	636	10	bundles	bundle	NOUN
ap-951	636	11	in	in	ADP
ap-951	636	12	the	the	DET
ap-951	636	13	absence	absence	NOUN
ap-951	636	14	of	of	ADP
ap-951	636	15	marked	mark	VERB
ap-951	636	16	points	point	NOUN
ap-951	636	17	(	(	PUNCT
ap-951	636	18	4.14	4.14	NUM
ap-951	636	19	)	)	PUNCT
ap-951	636	20	.	.	PUNCT
ap-951	637	1	the	the	DET
ap-951	637	2	gauge	gauge	PROPN
ap-951	637	3	group	group	PROPN
ap-951	637	4	�	�	PROPN
ap-951	637	5	�	�	PROPN
ap-951	637	6	transforms	transform	VERB
ap-951	637	7	solutions	solution	NOUN
ap-951	637	8	of	of	ADP
ap-951	637	9	(	(	PUNCT
ap-951	637	10	5.9	5.9	NUM
ap-951	637	11	)	)	PUNCT
ap-951	637	12	to	to	ADP
ap-951	637	13	solutions	solution	NOUN
ap-951	637	14	but	but	CCONJ
ap-951	637	15	breaks	break	NOUN
ap-951	637	16	(	(	PUNCT
ap-951	637	17	5.5	5.5	NUM
ap-951	637	18	)	)	PUNCT
ap-951	637	19	,	,	PUNCT
ap-951	637	20	(	(	PUNCT
ap-951	637	21	5.6	5.6	NUM
ap-951	637	22	)	)	PUNCT
ap-951	637	23	.	.	PUNCT
ap-951	638	1	now	now	ADV
ap-951	638	2	we	we	PRON
ap-951	638	3	will	will	AUX
ap-951	638	4	restrict	restrict	VERB
ap-951	638	5	ourself	ourself	PRON
ap-951	638	6	with	with	ADP
ap-951	638	7	the	the	DET
ap-951	638	8	second	second	ADJ
ap-951	638	9	equation	equation	NOUN
ap-951	638	10	in	in	ADP
ap-951	638	11	(	(	PUNCT
ap-951	638	12	5.9	5.9	NUM
ap-951	638	13	)	)	PUNCT
ap-951	638	14	.	.	PUNCT
ap-951	639	1	dividing	divide	VERB
ap-951	639	2	the	the	DET
ap-951	639	3	space	space	NOUN
ap-951	639	4	of	of	ADP
ap-951	639	5	its	its	PRON
ap-951	639	6	solution	solution	NOUN
ap-951	639	7	on	on	ADP
ap-951	639	8	the	the	DET
ap-951	639	9	gauge	gauge	NOUN
ap-951	639	10	group	group	PROPN
ap-951	639	11	�	�	PROPN
ap-951	639	12	�	�	PROPN
ap-951	639	13	we	we	PRON
ap-951	639	14	come	come	VERB
ap-951	639	15	to	to	ADP
ap-951	639	16	the	the	DET
ap-951	639	17	moduli	moduli	ADJ
ap-951	639	18	space	space	NOUN
ap-951	639	19	of	of	ADP
ap-951	639	20	the	the	DET
ap-951	639	21	higgs	higgs	NOUN
ap-951	639	22	bundles	bundle	NOUN
ap-951	639	23	t	t	NOUN
ap-951	639	24	n	n	NOUN
ap-951	639	25	g	g	PROPN
ap-951	639	26	d	d	PROPN
ap-951	639	27	*	*	PUNCT
ap-951	639	28	(	(	PUNCT
ap-951	639	29	,	,	PUNCT
ap-951	639	30	,	,	PUNCT
ap-951	639	31	,	,	PUNCT
ap-951	639	32	)	)	PUNCT
ap-951	639	33	�	�	PROPN
ap-951	639	34	0	0	NUM
ap-951	639	35	(	(	PUNCT
ap-951	639	36	4.17	4.17	NUM
ap-951	639	37	)	)	PUNCT
ap-951	639	38	.	.	PUNCT
ap-951	640	1	there	there	PRON
ap-951	640	2	exists	exist	VERB
ap-951	640	3	a	a	DET
ap-951	640	4	dense	dense	ADJ
ap-951	640	5	subset	subset	NOUN
ap-951	640	6	of	of	ADP
ap-951	640	7	moduli	moduli	NOUN
ap-951	640	8	space	space	NOUN
ap-951	640	9	of	of	ADP
ap-951	640	10	stable	stable	ADJ
ap-951	640	11	higgs	higgs	NOUN
ap-951	640	12	bundles	bundle	NOUN
ap-951	640	13	t	t	NOUN
ap-951	640	14	n	n	CCONJ
ap-951	640	15	g	g	PROPN
ap-951	640	16	d	d	PROPN
ap-951	640	17	t	t	PROPN
ap-951	640	18	n	n	CCONJ
ap-951	640	19	g	g	PROPN
ap-951	640	20	dstable	dstable	ADJ
ap-951	640	21	*	*	PUNCT
ap-951	640	22	*	*	PUNCT
ap-951	640	23	(	(	PUNCT
ap-951	640	24	,	,	PUNCT
ap-951	640	25	,	,	PUNCT
ap-951	640	26	,	,	PUNCT
ap-951	640	27	)	)	PUNCT
ap-951	640	28	(	(	PUNCT
ap-951	640	29	,	,	PUNCT
ap-951	640	30	,	,	PUNCT
ap-951	640	31	,	,	PUNCT
ap-951	640	32	)	)	PUNCT
ap-951	640	33	�	�	PROPN
ap-951	640	34	�	�	PROPN
ap-951	640	35	0	0	NUM
ap-951	640	36	0	0	NUM
ap-951	640	37	�	�	PROPN
ap-951	640	38	.	.	PUNCT
ap-951	641	1	the	the	DET
ap-951	641	2	moduli	moduli	PROPN
ap-951	641	3	space	space	NOUN
ap-951	641	4	of	of	ADP
ap-951	641	5	stable	stable	ADJ
ap-951	641	6	higgs	higgs	NOUN
ap-951	641	7	bundles	bundle	NOUN
ap-951	641	8	parameterize	parameterize	VERB
ap-951	641	9	the	the	DET
ap-951	641	10	smooth	smooth	ADJ
ap-951	641	11	part	part	NOUN
ap-951	641	12	of	of	ADP
ap-951	641	13	�	�	PROPN
ap-951	641	14	h	h	NOUN
ap-951	641	15	g	g	NOUN
ap-951	641	16	(	(	PUNCT
ap-951	641	17	)	)	PUNCT
ap-951	641	18	�	�	PROPN
ap-951	641	19	(	(	PUNCT
ap-951	641	20	5.13	5.13	NUM
ap-951	641	21	)	)	PUNCT
ap-951	642	1	[	[	X
ap-951	642	2	2	2	NUM
ap-951	642	3	]	]	PUNCT
ap-951	642	4	.	.	PUNCT
ap-951	643	1	consider	consider	VERB
ap-951	643	2	a	a	DET
ap-951	643	3	higgs	higgs	NOUN
ap-951	643	4	bundle	bundle	NOUN
ap-951	643	5	with	with	ADP
ap-951	643	6	data	datum	NOUN
ap-951	643	7	(	(	PUNCT
ap-951	643	8	,	,	PUNCT
ap-951	643	9	)	)	PUNCT
ap-951	643	10	a	a	DET
ap-951	643	11	satisfying	satisfying	NOUN
ap-951	643	12	eq	eq	NOUN
ap-951	643	13	.	.	PROPN
ap-951	643	14	2	2	NUM
ap-951	643	15	in	in	ADP
ap-951	643	16	(	(	PUNCT
ap-951	643	17	5.9	5.9	NUM
ap-951	643	18	)	)	PUNCT
ap-951	643	19	and	and	CCONJ
ap-951	643	20	reconstruct	reconstruct	VERB
ap-951	643	21	from	from	ADP
ap-951	643	22	it	it	PRON
ap-951	643	23	solutions	solution	NOUN
ap-951	643	24	(	(	PUNCT
ap-951	643	25	,	,	PUNCT
ap-951	643	26	,	,	PUNCT
ap-951	643	27	,	,	PUNCT
ap-951	643	28	)	)	PUNCT
ap-951	643	29	a	a	DET
ap-951	643	30	az	az	PROPN
ap-951	643	31	z	z	PROPN
ap-951	643	32	z	z	PROPN
ap-951	643	33	z	z	PROPN
ap-951	643	34	of	of	ADP
ap-951	643	35	(	(	PUNCT
ap-951	643	36	5.9	5.9	NUM
ap-951	643	37	)	)	PUNCT
ap-951	643	38	.	.	PUNCT
ap-951	644	1	define	define	VERB
ap-951	644	2	them	they	PRON
ap-951	644	3	as	as	ADP
ap-951	644	4	z	z	PROPN
ap-951	644	5	z	z	NOUN
ap-951	644	6	h	h	NOUN
ap-951	644	7	h	h	PROPN
ap-951	644	8	�	�	PROPN
ap-951	644	9	�	�	PROPN
ap-951	644	10	�	�	PROPN
ap-951	644	11	�	�	PROPN
ap-951	644	12	,	,	PUNCT
ap-951	644	13	1	1	NUM
ap-951	644	14	,	,	PUNCT
ap-951	644	15	a	a	DET
ap-951	644	16	a	a	DET
ap-951	644	17	a	a	DET
ap-951	644	18	h	h	NOUN
ap-951	644	19	h	h	NOUN
ap-951	644	20	h	h	NOUN
ap-951	644	21	a	a	DET
ap-951	644	22	hz	hz	PROPN
ap-951	644	23	z	z	PROPN
ap-951	644	24	�	�	PROPN
ap-951	644	25	�	�	PROPN
ap-951	644	26	�	�	PROPN
ap-951	644	27	�	�	PROPN
ap-951	644	28	�	�	PROPN
ap-951	644	29	�	�	PROPN
ap-951	644	30	,	,	PUNCT
ap-951	644	31	1	1	NUM
ap-951	644	32	1	1	NUM
ap-951	644	33	�	�	PROPN
ap-951	644	34	.	.	PUNCT
ap-951	645	1	then	then	ADV
ap-951	645	2	(	(	PUNCT
ap-951	645	3	,	,	PUNCT
ap-951	645	4	)	)	PUNCT
ap-951	645	5	z	z	NOUN
ap-951	645	6	za	za	PROPN
ap-951	645	7	satisfy	satisfy	VERB
ap-951	645	8	eq	eq	ADP
ap-951	645	9	.	.	PROPN
ap-951	646	1	3	3	X
ap-951	646	2	.	.	PUNCT
ap-951	646	3	(	(	PUNCT
ap-951	646	4	5.9	5.9	NUM
ap-951	646	5	)	)	PUNCT
ap-951	646	6	.	.	PUNCT
ap-951	647	1	equation	equation	NOUN
ap-951	647	2	1	1	NUM
ap-951	647	3	.	.	PUNCT
ap-951	648	1	(	(	PUNCT
ap-951	648	2	5.9	5.9	NUM
ap-951	648	3	)	)	PUNCT
ap-951	648	4	takes	take	VERB
ap-951	648	5	the	the	DET
ap-951	648	6	form	form	NOUN
ap-951	648	7	�	�	PROPN
ap-951	648	8	�	�	PROPN
ap-951	648	9	�	�	PROPN
ap-951	648	10	�	�	PROPN
ap-951	648	11	(	(	PUNCT
ap-951	648	12	)	)	PUNCT
ap-951	648	13	[	[	PUNCT
ap-951	648	14	,	,	PUNCT
ap-951	648	15	(	(	PUNCT
ap-951	648	16	)	)	PUNCT
ap-951	648	17	]	]	PUNCT
ap-951	649	1	[	[	PUNCT
ap-951	649	2	,	,	PUNCT
ap-951	649	3	]	]	PUNCT
ap-951	649	4	h	h	NOUN
ap-951	649	5	h	h	NOUN
ap-951	649	6	h	h	VERB
ap-951	650	1	a	a	DET
ap-951	650	2	h	h	NOUN
ap-951	650	3	a	a	DET
ap-951	650	4	a	a	DET
ap-951	650	5	h	h	NOUN
ap-951	650	6	h	h	NOUN
ap-951	650	7	h	h	NOUN
ap-951	651	1	a	a	DET
ap-951	651	2	h	h	NOUN
ap-951	651	3	h	h	NOUN
ap-951	651	4	h	h	PROPN
ap-951	651	5	�	�	PROPN
ap-951	651	6	�	�	PROPN
ap-951	651	7	�	�	PROPN
ap-951	651	8	�	�	PROPN
ap-951	651	9	�	�	PROPN
ap-951	651	10	�	�	PROPN
ap-951	651	11	�	�	PROPN
ap-951	651	12	�	�	PROPN
ap-951	651	13	1	1	NUM
ap-951	651	14	1	1	NUM
ap-951	651	15	1	1	NUM
ap-951	651	16	1	1	NUM
ap-951	651	17	1	1	NUM
ap-951	651	18	0	0	NUM
ap-951	651	19	.	.	PUNCT
ap-951	652	1	for	for	ADP
ap-951	652	2	almost	almost	ADV
ap-951	652	3	all	all	PRON
ap-951	652	4	(	(	PUNCT
ap-951	652	5	,	,	PUNCT
ap-951	652	6	)	)	PUNCT
ap-951	652	7	a	a	PRON
ap-951	652	8	there	there	PRON
ap-951	652	9	exists	exist	VERB
ap-951	652	10	a	a	DET
ap-951	652	11	solution	solution	NOUN
ap-951	652	12	h	h	NOUN
ap-951	652	13	of	of	ADP
ap-951	652	14	this	this	DET
ap-951	652	15	equation	equation	NOUN
ap-951	652	16	(	(	PUNCT
ap-951	652	17	see	see	VERB
ap-951	652	18	appendix	appendix	NOUN
ap-951	652	19	of	of	ADP
ap-951	652	20	donaldson	donaldson	PROPN
ap-951	652	21	in	in	ADP
ap-951	652	22	[	[	X
ap-951	652	23	2	2	NUM
ap-951	652	24	]	]	PUNCT
ap-951	652	25	)	)	PUNCT
ap-951	652	26	.	.	PUNCT
ap-951	653	1	in	in	ADP
ap-951	653	2	this	this	DET
ap-951	653	3	way	way	NOUN
ap-951	653	4	we	we	PRON
ap-951	653	5	pass	pass	VERB
ap-951	653	6	from	from	ADP
ap-951	653	7	the	the	DET
ap-951	653	8	holomorphic	holomorphic	ADJ
ap-951	653	9	data	datum	NOUN
ap-951	653	10	to	to	ADP
ap-951	653	11	solutions	solution	NOUN
ap-951	653	12	of	of	ADP
ap-951	653	13	the	the	DET
ap-951	653	14	system	system	NOUN
ap-951	653	15	(	(	PUNCT
ap-951	653	16	5.9	5.9	NUM
ap-951	653	17	)	)	PUNCT
ap-951	653	18	.	.	PUNCT
ap-951	654	1	summarizing	summarizing	NOUN
ap-951	654	2	,	,	PUNCT
ap-951	654	3	to	to	PART
ap-951	654	4	define	define	VERB
ap-951	654	5	�	�	PROPN
ap-951	654	6	h	h	NOUN
ap-951	654	7	g	g	NOUN
ap-951	654	8	(	(	PUNCT
ap-951	654	9	)	)	PUNCT
ap-951	654	10	�	�	PROPN
ap-951	654	11	one	one	PRON
ap-951	654	12	can	can	AUX
ap-951	654	13	acts	act	VERB
ap-951	654	14	in	in	ADP
ap-951	654	15	two	two	NUM
ap-951	654	16	ways	way	NOUN
ap-951	654	17	:	:	PUNCT
ap-951	654	18	1	1	X
ap-951	654	19	.	.	X
ap-951	654	20	divide	divide	VERB
ap-951	654	21	the	the	DET
ap-951	654	22	space	space	NOUN
ap-951	654	23	of	of	ADP
ap-951	654	24	solutions	solution	NOUN
ap-951	654	25	of	of	ADP
ap-951	654	26	(	(	PUNCT
ap-951	654	27	5.9	5.9	NUM
ap-951	654	28	)	)	PUNCT
ap-951	654	29	on	on	ADP
ap-951	654	30	the	the	DET
ap-951	654	31	su(n)-valued	su(n)-value	VERB
ap-951	654	32	gauge	gauge	NOUN
ap-951	654	33	group	group	NOUN
ap-951	654	34	�	�	PROPN
ap-951	654	35	.	.	PROPN
ap-951	655	1	2	2	NUM
ap-951	655	2	.	.	X
ap-951	655	3	consider	consider	VERB
ap-951	655	4	the	the	DET
ap-951	655	5	moduli	moduli	ADJ
ap-951	655	6	space	space	NOUN
ap-951	655	7	of	of	ADP
ap-951	655	8	stable	stable	ADJ
ap-951	655	9	higgs	higgs	NOUN
ap-951	655	10	bundles	bundle	NOUN
ap-951	655	11	.	.	PUNCT
ap-951	656	1	5.1.2	5.1.2	NUM
ap-951	656	2	hyper	hyper	ADJ
ap-951	656	3	-	-	ADJ
ap-951	656	4	kahler	kahler	ADJ
ap-951	656	5	reduction	reduction	NOUN
ap-951	656	6	in	in	ADP
ap-951	656	7	this	this	DET
ap-951	656	8	section	section	NOUN
ap-951	656	9	we	we	PRON
ap-951	656	10	explain	explain	VERB
ap-951	656	11	how	how	SCONJ
ap-951	656	12	to	to	PART
ap-951	656	13	derive	derive	VERB
ap-951	656	14	the	the	DET
ap-951	656	15	moduli	moduli	PROPN
ap-951	656	16	space	space	PROPN
ap-951	656	17	�	�	PROPN
ap-951	656	18	h	h	NOUN
ap-951	656	19	g	g	NOUN
ap-951	656	20	(	(	PUNCT
ap-951	656	21	)	)	PUNCT
ap-951	656	22	�	�	PROPN
ap-951	656	23	(	(	PUNCT
ap-951	656	24	5.13	5.13	NUM
ap-951	656	25	)	)	PUNCT
ap-951	656	26	via	via	ADP
ap-951	656	27	an	an	DET
ap-951	656	28	analog	analog	NOUN
ap-951	656	29	of	of	ADP
ap-951	656	30	the	the	DET
ap-951	656	31	symplectic	symplectic	ADJ
ap-951	656	32	reduction	reduction	NOUN
ap-951	656	33	.	.	PUNCT
ap-951	657	1	this	this	PRON
ap-951	657	2	is	be	AUX
ap-951	657	3	the	the	DET
ap-951	657	4	so	so	ADV
ap-951	657	5	-	-	PUNCT
ap-951	657	6	called	call	VERB
ap-951	657	7	hyper	hyper	ADJ
ap-951	657	8	-	-	ADJ
ap-951	657	9	kahler	kahler	ADJ
ap-951	657	10	reduction	reduction	NOUN
ap-951	657	11	[	[	X
ap-951	657	12	41	41	NUM
ap-951	657	13	]	]	PUNCT
ap-951	657	14	.	.	PUNCT
ap-951	658	1	we	we	PRON
ap-951	658	2	prove	prove	VERB
ap-951	658	3	that	that	SCONJ
ap-951	658	4	infinite	infinite	ADJ
ap-951	658	5	-	-	PUNCT
ap-951	658	6	dimensional	dimensional	ADJ
ap-951	658	7	space	space	NOUN
ap-951	658	8	(	(	PUNCT
ap-951	658	9	5.7	5.7	NUM
ap-951	658	10	)	)	PUNCT
ap-951	658	11	is	be	AUX
ap-951	658	12	a	a	DET
ap-951	658	13	hyper	hyper	NOUN
ap-951	658	14	-	-	NOUN
ap-951	658	15	kahler	kahler	NOUN
ap-951	658	16	©	©	PROPN
ap-951	658	17	czech	czech	PROPN
ap-951	658	18	technical	technical	PROPN
ap-951	658	19	university	university	PROPN
ap-951	658	20	publishing	publishing	NOUN
ap-951	658	21	house	house	NOUN
ap-951	658	22	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-951	658	23	17	17	NUM
ap-951	658	24	acta	acta	PROPN
ap-951	658	25	polytechnica	polytechnica	PROPN
ap-951	658	26	vol	vol	NOUN
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ap-951	659	1	48	48	NUM
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ap-951	659	3	.	.	PUNCT
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ap-951	660	3	,	,	PUNCT
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ap-951	660	8	its	its	PRON
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ap-951	660	10	-	-	ADJ
ap-951	660	11	kahler	kahler	ADJ
ap-951	660	12	quotient	quotient	NOUN
ap-951	660	13	,	,	PUNCT
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ap-951	660	15	(	(	PUNCT
ap-951	660	16	5.9	5.9	NUM
ap-951	660	17	)	)	PUNCT
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ap-951	660	20	role	role	NOUN
ap-951	660	21	of	of	ADP
ap-951	660	22	the	the	DET
ap-951	660	23	moment	moment	NOUN
ap-951	660	24	equations	equation	NOUN
ap-951	660	25	.	.	PUNCT
ap-951	661	1	to	to	PART
ap-951	661	2	define	define	VERB
ap-951	661	3	a	a	DET
ap-951	661	4	hyper	hyper	ADJ
ap-951	661	5	-	-	ADJ
ap-951	661	6	kahler	kahler	ADJ
ap-951	661	7	manifold	manifold	NOUN
ap-951	661	8	we	we	PRON
ap-951	661	9	need	need	VERB
ap-951	661	10	three	three	NUM
ap-951	661	11	complex	complex	ADJ
ap-951	661	12	structures	structure	NOUN
ap-951	661	13	and	and	CCONJ
ap-951	661	14	a	a	DET
ap-951	661	15	metric	metric	ADJ
ap-951	661	16	satisfying	satisfy	VERB
ap-951	661	17	certain	certain	ADJ
ap-951	661	18	axioms	axiom	NOUN
ap-951	661	19	.	.	PUNCT
ap-951	662	1	define	define	VERB
ap-951	662	2	a	a	DET
ap-951	662	3	flat	flat	ADJ
ap-951	662	4	metric	metric	NOUN
ap-951	662	5	on	on	ADP
ap-951	662	6	depending	depend	VERB
ap-951	662	7	on	on	ADP
ap-951	662	8	the	the	DET
ap-951	662	9	complex	complex	ADJ
ap-951	662	10	structure	structure	NOUN
ap-951	662	11	on	on	ADP
ap-951	662	12	�	�	PROPN
ap-951	662	13	ds	ds	VERB
ap-951	662	14	a	a	DET
ap-951	662	15	a	a	DET
ap-951	662	16	a	a	DET
ap-951	662	17	az	az	NOUN
ap-951	662	18	z	z	PROPN
ap-951	662	19	z	z	PROPN
ap-951	662	20	z	z	NOUN
ap-951	662	21	z	z	NOUN
ap-951	662	22	z	z	NOUN
ap-951	662	23	z	z	NOUN
ap-951	662	24	z	z	NOUN
ap-951	662	25	2	2	NUM
ap-951	662	26	1	1	NUM
ap-951	662	27	4	4	NUM
ap-951	662	28	�	�	PROPN
ap-951	662	29	�	�	PROPN
ap-951	662	30	"	"	PUNCT
ap-951	662	31	"	"	PUNCT
ap-951	662	32	"	"	PUNCT
ap-951	662	33	"	"	PUNCT
ap-951	662	34	�	�	PROPN
ap-951	662	35	�	�	PROPN
ap-951	662	36	�	�	PROPN
ap-951	662	37	�	�	PROPN
ap-951	662	38	�	�	PROPN
ap-951	662	39	�	�	PROPN
ap-951	662	40	�	�	PROPN
ap-951	662	41	�	�	PROPN
ap-951	662	42	�	�	PROPN
ap-951	662	43	�	�	PROPN
ap-951	662	44	tr	tr	VERB
ap-951	662	45	(	(	PUNCT
ap-951	662	46	)	)	PUNCT
ap-951	662	47	.	.	PUNCT
ap-951	663	1	�	�	PROPN
ap-951	663	2	(	(	PUNCT
ap-951	663	3	5.14	5.14	NUM
ap-951	663	4	)	)	PUNCT
ap-951	663	5	introduce	introduce	VERB
ap-951	663	6	three	three	NUM
ap-951	663	7	complex	complex	ADJ
ap-951	663	8	structures	structure	NOUN
ap-951	663	9	i	i	PRON
ap-951	663	10	,	,	PUNCT
ap-951	663	11	j	j	PROPN
ap-951	663	12	,	,	PUNCT
ap-951	663	13	k	k	X
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ap-951	663	15	.	.	PUNCT
ap-951	664	1	the	the	DET
ap-951	664	2	corresponding	correspond	VERB
ap-951	664	3	operators	operator	NOUN
ap-951	664	4	act	act	VERB
ap-951	664	5	on	on	ADP
ap-951	664	6	the	the	DET
ap-951	664	7	tangent	tangent	NOUN
ap-951	664	8	bundle	bundle	PROPN
ap-951	664	9	t	t	PROPN
ap-951	664	10	,	,	PUNCT
ap-951	664	11	such	such	ADJ
ap-951	664	12	that	that	SCONJ
ap-951	664	13	they	they	PRON
ap-951	664	14	obey	obey	VERB
ap-951	664	15	the	the	DET
ap-951	664	16	imaginary	imaginary	ADJ
ap-951	664	17	quaternion	quaternion	NOUN
ap-951	664	18	relations	relation	NOUN
ap-951	665	1	i	i	PRON
ap-951	665	2	j	j	PROPN
ap-951	665	3	k	k	PROPN
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ap-951	665	5	2	2	NUM
ap-951	665	6	2	2	NUM
ap-951	665	7	�	�	PROPN
ap-951	665	8	�	�	PROPN
ap-951	665	9	�	�	PROPN
ap-951	665	10	�	�	PROPN
ap-951	665	11	,	,	PUNCT
ap-951	665	12	ij	ij	INTJ
ap-951	665	13	k	k	PROPN
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ap-951	665	15	,	,	PUNCT
ap-951	665	16	�	�	PROPN
ap-951	665	17	.	.	PUNCT
ap-951	666	1	the	the	DET
ap-951	666	2	complex	complex	ADJ
ap-951	666	3	structures	structure	NOUN
ap-951	666	4	are	be	AUX
ap-951	666	5	integrable	integrable	ADJ
ap-951	666	6	because	because	SCONJ
ap-951	666	7	is	be	AUX
ap-951	666	8	flat	flat	ADJ
ap-951	666	9	.	.	PUNCT
ap-951	667	1	introduce	introduce	VERB
ap-951	667	2	a	a	DET
ap-951	667	3	basis	basis	NOUN
ap-951	667	4	of	of	ADP
ap-951	667	5	one	one	NUM
ap-951	667	6	-	-	PUNCT
ap-951	667	7	forms	form	NOUN
ap-951	667	8	in	in	ADP
ap-951	667	9	t	t	PROPN
ap-951	667	10	*	*	PUNCT
ap-951	667	11	v	v	ADP
ap-951	667	12	a	a	DET
ap-951	667	13	az	az	NOUN
ap-951	667	14	z	z	PROPN
ap-951	667	15	z	z	PROPN
ap-951	668	1	z	z	X
ap-951	668	2	�	�	PROPN
ap-951	668	3	(	(	PUNCT
ap-951	668	4	,	,	PUNCT
ap-951	668	5	,	,	PUNCT
ap-951	668	6	,	,	PUNCT
ap-951	668	7	)	)	PUNCT
ap-951	668	8	�	�	PROPN
ap-951	668	9	�	�	PROPN
ap-951	668	10	�	�	PROPN
ap-951	668	11	�	�	PROPN
ap-951	668	12	then	then	ADV
ap-951	668	13	the	the	DET
ap-951	668	14	action	action	NOUN
ap-951	668	15	of	of	ADP
ap-951	668	16	the	the	DET
ap-951	668	17	conjugated	conjugate	VERB
ap-951	668	18	operators	operator	NOUN
ap-951	668	19	on	on	ADP
ap-951	668	20	t	t	PROPN
ap-951	668	21	*	*	PUNCT
ap-951	668	22	in	in	ADP
ap-951	668	23	this	this	DET
ap-951	668	24	basis	basis	NOUN
ap-951	668	25	takes	take	VERB
ap-951	668	26	the	the	DET
ap-951	668	27	form	form	NOUN
ap-951	669	1	i	i	PRON
ap-951	669	2	i	i	PRON
ap-951	670	1	i	i	PRON
ap-951	671	1	i	i	PRON
ap-951	672	1	i	i	PRON
ap-951	672	2	t	t	PROPN
ap-951	672	3	�	�	PROPN
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ap-951	672	18	0	0	NUM
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ap-951	672	47	0	0	NUM
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ap-951	672	50	1	1	NUM
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ap-951	672	53	1	1	NUM
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ap-951	673	1	i	i	PRON
ap-951	673	2	i	i	PRON
ap-951	674	1	i	i	PRON
ap-951	675	1	i	i	PRON
ap-951	675	2	t	t	PROPN
ap-951	675	3	�	�	PROPN
ap-951	675	4	�	�	PROPN
ap-951	675	5	�	�	PROPN
ap-951	675	6	�	�	PROPN
ap-951	675	7	�	�	PROPN
ap-951	675	8	�	�	PROPN
ap-951	675	9	�	�	PROPN
ap-951	675	10	�	�	PROPN
ap-951	675	11	�	�	PROPN
ap-951	675	12	�	�	PROPN
ap-951	675	13	�	�	PROPN
ap-951	675	14	�	�	PROPN
ap-951	675	15	�	�	PROPN
ap-951	675	16	�	�	PROPN
ap-951	675	17	�	�	PROPN
ap-951	675	18	0	0	NUM
ap-951	675	19	0	0	NUM
ap-951	675	20	0	0	NUM
ap-951	675	21	0	0	NUM
ap-951	675	22	0	0	NUM
ap-951	675	23	0	0	NUM
ap-951	675	24	0	0	NUM
ap-951	675	25	0	0	NUM
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ap-951	675	27	0	0	NUM
ap-951	675	28	0	0	NUM
ap-951	675	29	0	0	NUM
ap-951	675	30	.	.	PUNCT
ap-951	676	1	linear	linear	ADJ
ap-951	676	2	functions	function	NOUN
ap-951	676	3	on	on	ADP
ap-951	676	4	are	be	AUX
ap-951	676	5	holomorphic	holomorphic	ADJ
ap-951	676	6	with	with	ADP
ap-951	676	7	respect	respect	NOUN
ap-951	676	8	to	to	ADP
ap-951	676	9	a	a	DET
ap-951	676	10	complex	complex	ADJ
ap-951	676	11	structure	structure	NOUN
ap-951	676	12	,	,	PUNCT
ap-951	676	13	if	if	SCONJ
ap-951	676	14	they	they	PRON
ap-951	676	15	are	be	AUX
ap-951	676	16	transformed	transform	VERB
ap-951	676	17	under	under	ADP
ap-951	676	18	the	the	DET
ap-951	676	19	action	action	NOUN
ap-951	676	20	of	of	ADP
ap-951	676	21	the	the	DET
ap-951	676	22	corresponding	correspond	VERB
ap-951	676	23	operator	operator	NOUN
ap-951	676	24	with	with	ADP
ap-951	676	25	eigen	eigen	NOUN
ap-951	676	26	-	-	PUNCT
ap-951	676	27	value	value	NOUN
ap-951	676	28	i.	i.	NOUN
ap-951	676	29	thus	thus	ADV
ap-951	676	30	az	az	PROPN
ap-951	676	31	,	,	PUNCT
ap-951	676	32	z	z	PROPN
ap-951	676	33	are	be	AUX
ap-951	676	34	holomorphic	holomorphic	ADJ
ap-951	676	35	in	in	ADP
ap-951	676	36	the	the	DET
ap-951	676	37	complex	complex	ADJ
ap-951	676	38	structure	structure	NOUN
ap-951	676	39	i	i	PRON
ap-951	676	40	,	,	PUNCT
ap-951	676	41	a	a	DET
ap-951	676	42	iz	iz	NOUN
ap-951	676	43	z	z	NOUN
ap-951	676	44	,	,	PUNCT
ap-951	676	45	az	az	PROPN
ap-951	676	46	z	z	PROPN
ap-951	676	47	are	be	AUX
ap-951	676	48	holomorphic	holomorphic	ADJ
ap-951	676	49	in	in	ADP
ap-951	676	50	the	the	DET
ap-951	676	51	complex	complex	ADJ
ap-951	676	52	structure	structure	NOUN
ap-951	676	53	j	j	PROPN
ap-951	676	54	,	,	PUNCT
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ap-951	676	56	az	az	PROPN
ap-951	676	57	z	z	PROPN
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ap-951	676	59	,	,	PUNCT
ap-951	676	60	az	az	PROPN
ap-951	676	61	z	z	PROPN
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ap-951	676	63	holomorphic	holomorphic	ADJ
ap-951	676	64	in	in	ADP
ap-951	676	65	the	the	DET
ap-951	676	66	complex	complex	ADJ
ap-951	676	67	structure	structure	NOUN
ap-951	676	68	k.	k.	NOUN
ap-951	676	69	to	to	PART
ap-951	676	70	be	be	AUX
ap-951	676	71	hyper	hyper	ADJ
ap-951	676	72	-	-	NOUN
ap-951	676	73	kahler	kahler	NOUN
ap-951	676	74	on	on	ADP
ap-951	676	75	the	the	DET
ap-951	676	76	metric	metric	ADJ
ap-951	676	77	ds2	ds2	PROPN
ap-951	676	78	should	should	AUX
ap-951	676	79	be	be	AUX
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ap-951	676	81	type	type	NOUN
ap-951	676	82	(	(	PUNCT
ap-951	676	83	1,1	1,1	NUM
ap-951	676	84	)	)	PUNCT
ap-951	676	85	in	in	ADP
ap-951	676	86	each	each	DET
ap-951	676	87	complex	complex	ADJ
ap-951	676	88	structure	structure	NOUN
ap-951	676	89	.	.	PUNCT
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ap-951	677	2	means	mean	VERB
ap-951	677	3	that	that	SCONJ
ap-951	677	4	ds	ds	VERB
ap-951	678	1	i	i	PRON
ap-951	679	1	i	i	PRON
ap-951	680	1	ds	ds	VERB
ap-951	681	1	j	j	PROPN
ap-951	681	2	j	j	PROPN
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ap-951	681	4	k	k	PROPN
ap-951	681	5	k	k	PROPN
ap-951	681	6	dst	dst	PROPN
ap-951	681	7	t	t	PROPN
ap-951	681	8	t	t	PROPN
ap-951	681	9	t	t	PROPN
ap-951	681	10	t	t	PROPN
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ap-951	681	12	2	2	NUM
ap-951	681	13	2	2	NUM
ap-951	681	14	2~	2~	NOUN
ap-951	681	15	(	(	PUNCT
ap-951	681	16	)	)	PUNCT
ap-951	681	17	(	(	PUNCT
ap-951	681	18	)	)	PUNCT
ap-951	681	19	(	(	PUNCT
ap-951	681	20	)	)	PUNCT
ap-951	681	21	"	"	PUNCT
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ap-951	681	25	"	"	PUNCT
ap-951	681	26	.	.	PUNCT
ap-951	682	1	in	in	ADP
ap-951	682	2	this	this	DET
ap-951	682	3	way	way	NOUN
ap-951	682	4	we	we	PRON
ap-951	682	5	have	have	AUX
ap-951	682	6	described	describe	VERB
ap-951	682	7	a	a	DET
ap-951	682	8	flat	flat	ADJ
ap-951	682	9	hyper	hyper	ADJ
ap-951	682	10	-	-	ADJ
ap-951	682	11	kahler	kahler	NOUN
ap-951	682	12	metric	metric	NOUN
ap-951	682	13	on	on	ADP
ap-951	682	14	.	.	PUNCT
ap-951	683	1	a	a	DET
ap-951	683	2	linear	linear	ADJ
ap-951	683	3	combination	combination	NOUN
ap-951	683	4	of	of	ADP
ap-951	683	5	the	the	DET
ap-951	683	6	complex	complex	ADJ
ap-951	683	7	structures	structure	NOUN
ap-951	683	8	produces	produce	VERB
ap-951	683	9	a	a	DET
ap-951	683	10	family	family	NOUN
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ap-951	683	12	complex	complex	ADJ
ap-951	683	13	structures	structure	NOUN
ap-951	683	14	,	,	PUNCT
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ap-951	683	19	1	1	NUM
ap-951	683	20	.	.	PUNCT
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ap-951	684	22	)	)	PUNCT
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ap-951	684	32	"	"	PUNCT
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ap-951	684	34	)	)	PUNCT
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ap-951	684	43	�	�	PROPN
ap-951	684	44	"	"	PUNCT
ap-951	684	45	(	(	PUNCT
ap-951	684	46	)	)	PUNCT
ap-951	684	47	2	2	X
ap-951	684	48	.	.	X
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ap-951	686	1	i	i	NOUN
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ap-951	687	2	d	d	X
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ap-951	687	10	2	2	NUM
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ap-951	687	12	(	(	PUNCT
ap-951	687	13	)	)	PUNCT
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ap-951	687	15	,	,	PUNCT
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ap-951	687	21	z	z	PROPN
ap-951	687	22	z	z	NOUN
ap-951	687	23	zd	zd	PROPN
ap-951	687	24	da	da	PROPN
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ap-951	687	26	a	a	DET
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ap-951	687	32	1	1	NUM
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ap-951	687	35	(	(	PUNCT
ap-951	687	36	)	)	PUNCT
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ap-951	687	38	,	,	PUNCT
ap-951	687	39	(	(	PUNCT
ap-951	688	1	5.15	5.15	NUM
ap-951	688	2	)	)	PUNCT
ap-951	688	3	�	�	PROPN
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ap-951	688	5	k	k	PROPN
ap-951	688	6	z	z	PROPN
ap-951	689	1	z	z	NOUN
ap-951	689	2	z	z	NOUN
ap-951	690	1	z	z	NOUN
ap-951	691	1	i	i	PRON
ap-951	691	2	d	d	NOUN
ap-951	691	3	da	da	PROPN
ap-951	691	4	d	d	X
ap-951	691	5	da	da	PROPN
ap-951	691	6	g	g	PROPN
ap-951	691	7	�	�	PROPN
ap-951	691	8	�	�	PROPN
ap-951	691	9	�	�	PROPN
ap-951	691	10	�	�	PROPN
ap-951	691	11	�	�	PROPN
ap-951	691	12	2	2	NUM
ap-951	691	13	tr	tr	VERB
ap-951	691	14	(	(	PUNCT
ap-951	691	15	)	)	PUNCT
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ap-951	691	17	.	.	PUNCT
ap-951	692	1	these	these	DET
ap-951	692	2	forms	form	NOUN
ap-951	692	3	are	be	AUX
ap-951	692	4	closed	closed	ADJ
ap-951	692	5	and	and	CCONJ
ap-951	692	6	of	of	ADP
ap-951	692	7	type	type	NOUN
ap-951	692	8	(	(	PUNCT
ap-951	692	9	1,1	1,1	NUM
ap-951	692	10	)	)	PUNCT
ap-951	692	11	with	with	ADP
ap-951	692	12	respect	respect	NOUN
ap-951	692	13	to	to	ADP
ap-951	692	14	the	the	DET
ap-951	692	15	corresponding	corresponding	ADJ
ap-951	692	16	complex	complex	ADJ
ap-951	692	17	structures	structure	NOUN
ap-951	692	18	.	.	PUNCT
ap-951	693	1	now	now	ADV
ap-951	693	2	consider	consider	VERB
ap-951	693	3	the	the	DET
ap-951	693	4	gauge	gauge	ADJ
ap-951	693	5	transformations	transformation	NOUN
ap-951	693	6	(	(	PUNCT
ap-951	693	7	5.10	5.10	NUM
ap-951	693	8	)	)	PUNCT
ap-951	693	9	of	of	ADP
ap-951	693	10	the	the	DET
ap-951	693	11	fields	field	NOUN
ap-951	693	12	(	(	PUNCT
ap-951	693	13	5.11	5.11	NUM
ap-951	693	14	)	)	PUNCT
ap-951	693	15	,	,	PUNCT
ap-951	693	16	(	(	PUNCT
ap-951	693	17	5.12	5.12	NUM
ap-951	693	18	)	)	PUNCT
ap-951	693	19	.	.	PUNCT
ap-951	694	1	since	since	SCONJ
ap-951	694	2	the	the	DET
ap-951	694	3	gauge	gauge	NOUN
ap-951	694	4	transform	transform	NOUN
ap-951	694	5	takes	take	VERB
ap-951	694	6	values	value	NOUN
ap-951	694	7	in	in	ADP
ap-951	694	8	su	su	PROPN
ap-951	694	9	(	(	PUNCT
ap-951	694	10	)	)	PUNCT
ap-951	694	11	n	n	CCONJ
ap-951	694	12	,	,	PUNCT
ap-951	694	13	the	the	DET
ap-951	694	14	forms	form	NOUN
ap-951	694	15	(	(	PUNCT
ap-951	694	16	5.15	5.15	NUM
ap-951	694	17	)	)	PUNCT
ap-951	694	18	are	be	AUX
ap-951	694	19	gauge	gauge	ADJ
ap-951	694	20	invariant	invariant	ADJ
ap-951	694	21	.	.	PUNCT
ap-951	695	1	therefore	therefore	ADV
ap-951	695	2	we	we	PRON
ap-951	695	3	can	can	AUX
ap-951	695	4	proceed	proceed	VERB
ap-951	695	5	as	as	ADP
ap-951	695	6	in	in	ADP
ap-951	695	7	the	the	DET
ap-951	695	8	case	case	NOUN
ap-951	695	9	of	of	ADP
ap-951	695	10	standard	standard	ADJ
ap-951	695	11	symplectic	symplectic	ADJ
ap-951	695	12	reduction	reduction	NOUN
ap-951	695	13	(	(	PUNCT
ap-951	695	14	3.14	3.14	NUM
ap-951	695	15	)	)	PUNCT
ap-951	695	16	.	.	PUNCT
ap-951	696	1	but	but	CCONJ
ap-951	696	2	now	now	ADV
ap-951	696	3	we	we	PRON
ap-951	696	4	obtain	obtain	VERB
ap-951	696	5	three	three	NUM
ap-951	696	6	generating	generate	VERB
ap-951	696	7	momentum	momentum	NOUN
ap-951	696	8	hamiltonians	hamiltonian	NOUN
ap-951	696	9	with	with	ADP
ap-951	696	10	respect	respect	NOUN
ap-951	696	11	to	to	ADP
ap-951	696	12	the	the	DET
ap-951	696	13	three	three	NUM
ap-951	696	14	symplectic	symplectic	ADJ
ap-951	696	15	forms	form	NOUN
ap-951	697	1	f	f	X
ap-951	698	1	i	i	PRON
ap-951	698	2	tri	tri	VERB
ap-951	698	3	g	g	PROPN
ap-951	698	4	�	�	PROPN
ap-951	698	5	�	�	PROPN
ap-951	698	6	2	2	NUM
ap-951	698	7	�	�	PROPN
ap-951	698	8	(	(	PUNCT
ap-951	698	9	�	�	PROPN
ap-951	698	10	�	�	PROPN
ap-951	698	11	(	(	PUNCT
ap-951	698	12	[	[	PUNCT
ap-951	698	13	,	,	PUNCT
ap-951	698	14	]	]	X
ap-951	698	15	)	)	PUNCT
ap-951	698	16	)	)	PUNCT
ap-951	698	17	,	,	PUNCT
ap-951	698	18	fz	fz	VERB
ap-951	699	1	z	z	PROPN
ap-951	699	2	z	z	PROPN
ap-951	699	3	z	z	PROPN
ap-951	699	4	�	�	PROPN
ap-951	699	5	,	,	PUNCT
ap-951	699	6	(	(	PUNCT
ap-951	699	7	�	�	PROPN
ap-951	699	8	�	�	NOUN
ap-951	699	9	lie	lie	NOUN
ap-951	699	10	(	(	PUNCT
ap-951	699	11	)	)	PUNCT
ap-951	699	12	�	�	PROPN
ap-951	699	13	)	)	PUNCT
ap-951	699	14	,	,	PUNCT
ap-951	699	15	f	f	PROPN
ap-951	699	16	trj	trj	PROPN
ap-951	699	17	g	g	PROPN
ap-951	699	18	�	�	PROPN
ap-951	699	19	�	�	PROPN
ap-951	699	20	�	�	PROPN
ap-951	699	21	1	1	NUM
ap-951	699	22	2	2	NUM
ap-951	699	23	�	�	PROPN
ap-951	699	24	(	(	PUNCT
ap-951	699	25	�	�	PROPN
ap-951	699	26	�	�	PROPN
ap-951	699	27	(	(	PUNCT
ap-951	699	28	)	)	PUNCT
ap-951	699	29	)	)	PUNCT
ap-951	699	30	�	�	PROPN
ap-951	699	31	�	�	PROPN
ap-951	699	32	�	�	PROPN
ap-951	699	33	d	d	PROPN
ap-951	699	34	dz	dz	PROPN
ap-951	700	1	z	z	NOUN
ap-951	700	2	f	f	NOUN
ap-951	701	1	i	i	PRON
ap-951	701	2	trk	trk	VERB
ap-951	701	3	g	g	PROPN
ap-951	701	4	�	�	PROPN
ap-951	701	5	�	�	PROPN
ap-951	701	6	�	�	PROPN
ap-951	701	7	2	2	NUM
ap-951	701	8	�	�	PROPN
ap-951	701	9	(	(	PUNCT
ap-951	701	10	�	�	PROPN
ap-951	701	11	�	�	PROPN
ap-951	701	12	(	(	PUNCT
ap-951	701	13	)	)	PUNCT
ap-951	701	14	)	)	PUNCT
ap-951	701	15	�	�	PROPN
ap-951	701	16	�	�	PROPN
ap-951	701	17	�	�	PROPN
ap-951	701	18	�	�	PROPN
ap-951	701	19	d	d	NOUN
ap-951	701	20	dz	dz	PROPN
ap-951	701	21	z	z	NOUN
ap-951	701	22	.	.	PUNCT
ap-951	702	1	and	and	CCONJ
ap-951	702	2	the	the	DET
ap-951	702	3	three	three	NUM
ap-951	702	4	moment	moment	NOUN
ap-951	702	5	maps	maps	PROPN
ap-951	702	6	�	�	PROPN
ap-951	702	7	�	�	PROPN
ap-951	702	8	lie	lie	NOUN
ap-951	702	9	*	*	ADJ
ap-951	702	10	(	(	PUNCT
ap-951	702	11	)	)	PUNCT
ap-951	702	12	�	�	PROPN
ap-951	702	13	i	i	PROPN
ap-951	702	14	z	z	PROPN
ap-951	702	15	zif	zif	PROPN
ap-951	702	16	i	i	PROPN
ap-951	702	17	�	�	PROPN
ap-951	702	18	�	�	PROPN
ap-951	702	19	[	[	PUNCT
ap-951	702	20	,	,	PUNCT
ap-951	702	21	]	]	PUNCT
ap-951	702	22	,	,	PUNCT
ap-951	702	23	�	�	PROPN
ap-951	702	24	j	j	PROPN
ap-951	702	25	z	z	PROPN
ap-951	702	26	zd	zd	PROPN
ap-951	702	27	d	d	PROPN
ap-951	702	28	�	�	PROPN
ap-951	702	29	�	�	PROPN
ap-951	702	30	�	�	PROPN
ap-951	702	31	�	�	PROPN
ap-951	702	32	�	�	PROPN
ap-951	702	33	k	k	PROPN
ap-951	702	34	z	z	PROPN
ap-951	702	35	zi	zi	PROPN
ap-951	703	1	d	d	PUNCT
ap-951	703	2	d	d	X
ap-951	703	3	�	�	PROPN
ap-951	703	4	�	�	PROPN
ap-951	703	5	�	�	PROPN
ap-951	703	6	�	�	PROPN
ap-951	703	7	�	�	PROPN
ap-951	703	8	(	(	PUNCT
ap-951	703	9	)	)	PUNCT
ap-951	703	10	.	.	PUNCT
ap-951	704	1	the	the	DET
ap-951	704	2	zero	zero	NUM
ap-951	704	3	-	-	PUNCT
ap-951	704	4	valued	value	VERB
ap-951	704	5	moments	moment	NOUN
ap-951	704	6	coincide	coincide	NOUN
ap-951	704	7	with	with	ADP
ap-951	704	8	the	the	DET
ap-951	704	9	hitchin	hitchin	PROPN
ap-951	704	10	systems	system	NOUN
ap-951	704	11	.	.	PUNCT
ap-951	705	1	the	the	DET
ap-951	705	2	hyper	hyper	ADJ
ap-951	705	3	-	-	ADJ
ap-951	705	4	kahler	kahler	ADJ
ap-951	705	5	quotient	quotient	PROPN
ap-951	705	6	�	�	PROPN
ap-951	705	7	/	/	SYM
ap-951	705	8	/	/	SYM
ap-951	705	9	/	/	PUNCT
ap-951	705	10	is	be	AUX
ap-951	705	11	defined	define	VERB
ap-951	705	12	as	as	ADP
ap-951	705	13	�	�	PROPN
ap-951	705	14	�	�	PROPN
ap-951	705	15	/	/	SYM
ap-951	705	16	/	/	SYM
ap-951	705	17	/	/	SYM
ap-951	705	18	(	(	PUNCT
ap-951	705	19	)	)	PUNCT
ap-951	705	20	(	(	PUNCT
ap-951	705	21	)	)	PUNCT
ap-951	705	22	(	(	PUNCT
ap-951	705	23	)	)	PUNCT
ap-951	705	24	/	/	SYM
ap-951	705	25	�	�	PROPN
ap-951	705	26	4	4	NUM
ap-951	705	27	4	4	NUM
ap-951	705	28	�	�	PROPN
ap-951	705	29	�	�	PROPN
ap-951	705	30	�	�	PROPN
ap-951	705	31	�	�	PROPN
ap-951	705	32	�	�	PROPN
ap-951	705	33	�	�	PROPN
ap-951	705	34	i	i	PROPN
ap-951	705	35	j	j	PROPN
ap-951	706	1	k	k	NOUN
ap-951	706	2	1	1	NUM
ap-951	706	3	1	1	NUM
ap-951	706	4	10	10	NUM
ap-951	706	5	0	0	NUM
ap-951	706	6	0	0	NUM
ap-951	706	7	to	to	PART
ap-951	706	8	come	come	VERB
ap-951	706	9	to	to	ADP
ap-951	706	10	system	system	NOUN
ap-951	706	11	(	(	PUNCT
ap-951	706	12	5.9	5.9	NUM
ap-951	706	13	)	)	PUNCT
ap-951	706	14	consider	consider	VERB
ap-951	706	15	the	the	DET
ap-951	706	16	linear	linear	ADJ
ap-951	706	17	combination	combination	NOUN
ap-951	706	18	�	�	PROPN
ap-951	706	19	�	�	PROPN
ap-951	706	20	i	i	PROPN
ap-951	706	21	j	j	PROPN
ap-951	706	22	k	k	PROPN
ap-951	706	23	zi	zi	PROPN
ap-951	706	24	d	d	PROPN
ap-951	706	25	�	�	PROPN
ap-951	706	26	�	�	PROPN
ap-951	706	27	�	�	PROPN
ap-951	706	28	�	�	PROPN
ap-951	706	29	.	.	PUNCT
ap-951	707	1	(	(	PUNCT
ap-951	707	2	5.16	5.16	NUM
ap-951	707	3	)	)	PUNCT
ap-951	707	4	this	this	DET
ap-951	707	5	moment	moment	NOUN
ap-951	707	6	map	map	NOUN
ap-951	707	7	is	be	AUX
ap-951	707	8	derived	derive	VERB
ap-951	707	9	from	from	ADP
ap-951	707	10	the	the	DET
ap-951	707	11	symplectic	symplectic	ADJ
ap-951	707	12	form	form	NOUN
ap-951	707	13	�	�	PROPN
ap-951	707	14	�	�	PROPN
ap-951	708	1	i	i	PRON
ap-951	708	2	j	j	PROPN
ap-951	709	1	k	k	PROPN
ap-951	709	2	z	z	PROPN
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ap-951	709	4	d	d	PROPN
ap-951	709	5	da	da	PROPN
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ap-951	709	8	�	�	PROPN
ap-951	709	9	�	�	PROPN
ap-951	709	10	�	�	PROPN
ap-951	709	11	�	�	PROPN
ap-951	709	12	�	�	PROPN
ap-951	709	13	1	1	NUM
ap-951	709	14	tr	tr	VERB
ap-951	709	15	(	(	PUNCT
ap-951	709	16	)	)	PUNCT
ap-951	709	17	.	.	PUNCT
ap-951	710	1	this	this	PRON
ap-951	710	2	is	be	AUX
ap-951	710	3	a	a	DET
ap-951	710	4	(	(	PUNCT
ap-951	710	5	2,0)-form	2,0)-form	NUM
ap-951	710	6	in	in	ADP
ap-951	710	7	the	the	DET
ap-951	710	8	complex	complex	ADJ
ap-951	710	9	structure	structure	NOUN
ap-951	710	10	i.	i.	NOUN
ap-951	710	11	thus	thus	ADV
ap-951	710	12	we	we	PRON
ap-951	710	13	have	have	VERB
ap-951	710	14	the	the	DET
ap-951	710	15	holomorphic	holomorphic	ADJ
ap-951	710	16	moment	moment	NOUN
ap-951	710	17	map	map	VERB
ap-951	710	18	i	i	PRON
ap-951	710	19	in	in	ADP
ap-951	710	20	the	the	DET
ap-951	710	21	complex	complex	ADJ
ap-951	710	22	structure	structure	NOUN
ap-951	710	23	i.	i.	NOUN
ap-951	710	24	vanishing	vanishing	NOUN
ap-951	710	25	of	of	ADP
ap-951	710	26	the	the	DET
ap-951	710	27	holomorphic	holomorphic	ADJ
ap-951	710	28	moment	moment	NOUN
ap-951	710	29	map	map	NOUN
ap-951	711	1	i	i	PRON
ap-951	711	2	and	and	CCONJ
ap-951	711	3	the	the	DET
ap-951	711	4	real	real	ADJ
ap-951	711	5	moment	moment	NOUN
ap-951	711	6	map	map	VERB
ap-951	711	7	�	�	PROPN
ap-951	711	8	i	i	PRON
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ap-951	711	11	to	to	ADP
ap-951	711	12	the	the	DET
ap-951	711	13	hitchin	hitchin	PROPN
ap-951	711	14	equations	equation	NOUN
ap-951	711	15	.	.	PUNCT
ap-951	712	1	dividing	divide	VERB
ap-951	712	2	their	their	PRON
ap-951	712	3	solutions	solution	NOUN
ap-951	712	4	on	on	ADP
ap-951	712	5	the	the	DET
ap-951	712	6	gauge	gauge	NOUN
ap-951	712	7	group	group	NOUN
ap-951	712	8	�	�	PROPN
ap-951	712	9	we	we	PRON
ap-951	712	10	come	come	VERB
ap-951	712	11	to	to	ADP
ap-951	712	12	the	the	DET
ap-951	712	13	moduli	moduli	PROPN
ap-951	712	14	space	space	PROPN
ap-951	712	15	�	�	PROPN
ap-951	712	16	h(	h(	PROPN
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ap-951	712	19	)	)	PUNCT
ap-951	712	20	(	(	PUNCT
ap-951	712	21	5.13	5.13	NUM
ap-951	712	22	)	)	PUNCT
ap-951	712	23	.	.	PUNCT
ap-951	713	1	now	now	ADV
ap-951	713	2	consider	consider	VERB
ap-951	713	3	an	an	DET
ap-951	713	4	analog	analog	NOUN
ap-951	713	5	of	of	ADP
ap-951	713	6	(	(	PUNCT
ap-951	713	7	5.16	5.16	NUM
ap-951	713	8	)	)	PUNCT
ap-951	713	9	corresponding	correspond	VERB
ap-951	713	10	to	to	ADP
ap-951	713	11	the	the	DET
ap-951	713	12	complex	complex	ADJ
ap-951	713	13	structure	structure	NOUN
ap-951	713	14	j	j	PROPN
ap-951	713	15	�	�	PROPN
ap-951	713	16	�	�	PROPN
ap-951	714	1	j	j	PROPN
ap-951	715	1	k	k	PROPN
ap-951	716	1	i	i	PRON
ap-951	716	2	z	z	PROPN
ap-951	716	3	zi	zi	PROPN
ap-951	716	4	�	�	PROPN
ap-951	716	5	�	�	PROPN
ap-951	716	6	�	�	PROPN
ap-951	716	7	,	,	PUNCT
ap-951	716	8	,	,	PUNCT
ap-951	716	9	�	�	PROPN
ap-951	716	10	�	�	PROPN
ap-951	716	11	�	�	PROPN
ap-951	716	12	�	�	PROPN
ap-951	716	13	z	z	PROPN
ap-951	716	14	z	z	NOUN
ap-951	716	15	z	z	PROPN
ap-951	716	16	z	z	NOUN
ap-951	716	17	,	,	PUNCT
ap-951	716	18	(	(	PUNCT
ap-951	716	19	,	,	PUNCT
ap-951	716	20	)	)	PUNCT
ap-951	716	21	�	�	PROPN
ap-951	716	22	,	,	PUNCT
ap-951	716	23	�	�	PROPN
ap-951	716	24	z	z	PROPN
ap-951	716	25	z	z	PROPN
ap-951	716	26	za	za	PROPN
ap-951	716	27	i	i	PRON
ap-951	716	28	�	�	PROPN
ap-951	716	29	,	,	PUNCT
ap-951	716	30	�	�	PROPN
ap-951	716	31	z	z	PROPN
ap-951	716	32	z	z	PROPN
ap-951	716	33	za	za	PROPN
ap-951	716	34	i	i	PRON
ap-951	716	35	�	�	PROPN
ap-951	716	36	.	.	PUNCT
ap-951	717	1	this	this	DET
ap-951	717	2	moment	moment	NOUN
ap-951	717	3	map	map	NOUN
ap-951	717	4	comes	come	VERB
ap-951	717	5	from	from	ADP
ap-951	717	6	the	the	DET
ap-951	717	7	symplectic	symplectic	ADJ
ap-951	717	8	form	form	NOUN
ap-951	717	9	�	�	PROPN
ap-951	717	10	�	�	PROPN
ap-951	717	11	j	j	PROPN
ap-951	718	1	d	d	PROPN
ap-951	718	2	d	d	X
ap-951	718	3	g	g	PROPN
ap-951	718	4	�	�	PROPN
ap-951	718	5	�	�	PROPN
ap-951	718	6	�	�	PROPN
ap-951	718	7	1	1	NUM
ap-951	718	8	2	2	NUM
ap-951	718	9	�	�	NOUN
ap-951	718	10	tr	tr	VERB
ap-951	718	11	(	(	PUNCT
ap-951	718	12	)	)	PUNCT
ap-951	718	13	�	�	PROPN
ap-951	718	14	�	�	PROPN
ap-951	718	15	.	.	PUNCT
ap-951	719	1	it	it	PRON
ap-951	719	2	is	be	AUX
ap-951	719	3	(	(	PUNCT
ap-951	719	4	2,0	2,0	NUM
ap-951	719	5	)	)	PUNCT
ap-951	719	6	form	form	NOUN
ap-951	719	7	in	in	ADP
ap-951	719	8	the	the	DET
ap-951	719	9	complex	complex	ADJ
ap-951	719	10	structure	structure	NOUN
ap-951	719	11	j.	j.	PROPN
ap-951	719	12	putting	put	VERB
ap-951	719	13	j	j	PROPN
ap-951	719	14	�	�	PROPN
ap-951	719	15	0	0	NUM
ap-951	719	16	we	we	PRON
ap-951	719	17	come	come	VERB
ap-951	719	18	to	to	ADP
ap-951	719	19	the	the	DET
ap-951	719	20	flatness	flatness	NOUN
ap-951	719	21	condition	condition	NOUN
ap-951	719	22	of	of	ADP
ap-951	719	23	the	the	DET
ap-951	719	24	bundle	bundle	NOUN
ap-951	719	25	e.	e.	PROPN
ap-951	719	26	dividing	divide	VERB
ap-951	719	27	the	the	DET
ap-951	719	28	set	set	NOUN
ap-951	719	29	of	of	ADP
ap-951	719	30	solutions	solution	NOUN
ap-951	719	31	�	�	PROPN
ap-951	719	32	z	z	PROPN
ap-951	719	33	z	z	PROPN
ap-951	719	34	,	,	PUNCT
ap-951	719	35	�	�	PROPN
ap-951	719	36	0	0	NUM
ap-951	719	37	on	on	ADP
ap-951	719	38	the	the	DET
ap-951	719	39	gl	gl	X
ap-951	719	40	(	(	PUNCT
ap-951	719	41	,	,	PUNCT
ap-951	719	42	)	)	PUNCT
ap-951	719	43	n	n	PRON
ap-951	719	44	�	�	PROPN
ap-951	719	45	valued	value	VERB
ap-951	719	46	gauge	gauge	NOUN
ap-951	719	47	transformations	transformation	NOUN
ap-951	719	48	�	�	NOUN
ap-951	719	49	�	�	NOUN
ap-951	719	50	we	we	PRON
ap-951	719	51	come	come	VERB
ap-951	719	52	to	to	ADP
ap-951	719	53	the	the	DET
ap-951	719	54	space	space	NOUN
ap-951	719	55	18	18	NUM
ap-951	719	56	©	©	PROPN
ap-951	719	57	czech	czech	PROPN
ap-951	719	58	technical	technical	PROPN
ap-951	719	59	university	university	PROPN
ap-951	719	60	publishing	publishing	NOUN
ap-951	719	61	house	house	NOUN
ap-951	719	62	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-951	719	63	acta	acta	PROPN
ap-951	719	64	polytechnica	polytechnica	PROPN
ap-951	719	65	vol	vol	NOUN
ap-951	719	66	.	.	PUNCT
ap-951	720	1	48	48	NUM
ap-951	720	2	no	no	NOUN
ap-951	720	3	.	.	PUNCT
ap-951	721	1	2/2008	2/2008	PROPN
ap-951	721	2	�	�	PROPN
ap-951	721	3	�	�	PROPN
ap-951	721	4	�	�	PROPN
ap-951	721	5	�	�	PROPN
ap-951	721	6	�	�	PROPN
ap-951	721	7	(	(	PUNCT
ap-951	721	8	)	)	PUNCT
ap-951	721	9	,	,	PUNCT
ap-951	721	10	z	z	NOUN
ap-951	721	11	z	z	NOUN
ap-951	721	12	0	0	NUM
ap-951	721	13	�	�	PROPN
ap-951	721	14	(	(	PUNCT
ap-951	721	15	5.17	5.17	NUM
ap-951	721	16	)	)	PUNCT
ap-951	721	17	of	of	ADP
ap-951	721	18	homomorphisms	homomorphism	NOUN
ap-951	721	19	�	�	PROPN
ap-951	721	20	1	1	NUM
ap-951	721	21	(	(	PUNCT
ap-951	721	22	)	)	PUNCT
ap-951	721	23	(	(	PUNCT
ap-951	721	24	,	,	PUNCT
ap-951	721	25	)	)	PUNCT
ap-951	721	26	�	�	PROPN
ap-951	721	27	g	g	PROPN
ap-951	721	28	n	n	CCONJ
ap-951	721	29	�	�	PROPN
ap-951	721	30	gl	gl	PROPN
ap-951	721	31	�	�	PROPN
ap-951	721	32	defined	define	VERB
ap-951	721	33	up	up	ADP
ap-951	721	34	to	to	ADP
ap-951	721	35	conjugations	conjugation	NOUN
ap-951	721	36	.	.	PUNCT
ap-951	722	1	in	in	ADP
ap-951	722	2	accordance	accordance	NOUN
ap-951	722	3	with	with	ADP
ap-951	722	4	[	[	X
ap-951	722	5	42	42	NUM
ap-951	722	6	]	]	PUNCT
ap-951	722	7	and	and	CCONJ
ap-951	722	8	donaldson	donaldson	PROPN
ap-951	722	9	(	(	PUNCT
ap-951	722	10	the	the	DET
ap-951	722	11	appendix	appendix	NOUN
ap-951	722	12	in	in	ADP
ap-951	722	13	ref.[2	ref.[2	NOUN
ap-951	722	14	]	]	PUNCT
ap-951	722	15	)	)	PUNCT
ap-951	722	16	generic	generic	ADJ
ap-951	722	17	flat	flat	ADJ
ap-951	722	18	bundles	bundle	NOUN
ap-951	722	19	parameterize	parameterize	VERB
ap-951	722	20	�	�	NOUN
ap-951	722	21	h(	h(	NOUN
ap-951	722	22	�	�	PROPN
ap-951	722	23	g	g	NOUN
ap-951	722	24	)	)	PUNCT
ap-951	722	25	(	(	PUNCT
ap-951	722	26	5.13	5.13	NUM
ap-951	722	27	)	)	PUNCT
ap-951	722	28	in	in	ADP
ap-951	722	29	the	the	DET
ap-951	722	30	complex	complex	ADJ
ap-951	722	31	structure	structure	NOUN
ap-951	722	32	j.	j.	PROPN
ap-951	722	33	this	this	DET
ap-951	722	34	space	space	NOUN
ap-951	722	35	is	be	AUX
ap-951	722	36	a	a	DET
ap-951	722	37	phase	phase	NOUN
ap-951	722	38	space	space	NOUN
ap-951	722	39	of	of	ADP
ap-951	722	40	non	non	ADJ
ap-951	722	41	-	-	ADJ
ap-951	722	42	autonomous	autonomous	ADJ
ap-951	722	43	hamiltonian	hamiltonian	ADJ
ap-951	722	44	systems	system	NOUN
ap-951	722	45	leading	lead	VERB
ap-951	722	46	to	to	ADP
ap-951	722	47	monodromy	monodromy	NOUN
ap-951	722	48	preserving	preserve	VERB
ap-951	722	49	equations	equation	NOUN
ap-951	722	50	(	(	PUNCT
ap-951	722	51	see	see	VERB
ap-951	722	52	section	section	NOUN
ap-951	722	53	6.3	6.3	NUM
ap-951	722	54	)	)	PUNCT
ap-951	722	55	.	.	PUNCT
ap-951	723	1	thus	thus	ADV
ap-951	723	2	,	,	PUNCT
ap-951	723	3	the	the	DET
ap-951	723	4	space	space	NOUN
ap-951	723	5	�	�	PROPN
ap-951	723	6	h(	h(	PROPN
ap-951	723	7	�	�	PROPN
ap-951	723	8	g	g	NOUN
ap-951	723	9	)	)	PUNCT
ap-951	723	10	describes	describe	VERB
ap-951	723	11	phase	phase	NOUN
ap-951	723	12	spaces	space	NOUN
ap-951	723	13	of	of	ADP
ap-951	723	14	integrable	integrable	ADJ
ap-951	723	15	systems	system	NOUN
ap-951	723	16	�	�	PROPN
ap-951	723	17	red	red	ADJ
ap-951	723	18	(	(	PUNCT
ap-951	723	19	4.17	4.17	NUM
ap-951	723	20	)	)	PUNCT
ap-951	723	21	in	in	ADP
ap-951	723	22	the	the	DET
ap-951	723	23	complex	complex	ADJ
ap-951	723	24	structure	structure	NOUN
ap-951	723	25	i	i	PRON
ap-951	723	26	and	and	CCONJ
ap-951	723	27	phase	phase	NOUN
ap-951	723	28	spaces	space	NOUN
ap-951	723	29	of	of	ADP
ap-951	723	30	monodromy	monodromy	NOUN
ap-951	723	31	preserving	preserve	VERB
ap-951	723	32	equations	equation	NOUN
ap-951	723	33	�	�	PROPN
ap-951	723	34	(	(	PUNCT
ap-951	723	35	5.17	5.17	NUM
ap-951	723	36	)	)	PUNCT
ap-951	723	37	in	in	ADP
ap-951	723	38	the	the	DET
ap-951	723	39	complex	complex	ADJ
ap-951	723	40	structure	structure	NOUN
ap-951	723	41	j.	j.	PROPN
ap-951	723	42	5.2	5.2	NUM
ap-951	723	43	�	�	PROPN
ap-951	723	44	�	�	PROPN
ap-951	723	45	4	4	NUM
ap-951	723	46	susy	susy	PROPN
ap-951	723	47	yang	yang	PROPN
ap-951	723	48	-	-	PUNCT
ap-951	723	49	mills	mill	NOUN
ap-951	723	50	in	in	ADP
ap-951	723	51	four	four	NUM
ap-951	723	52	dimension	dimension	NOUN
ap-951	723	53	and	and	CCONJ
ap-951	723	54	hitchin	hitchin	ADJ
ap-951	723	55	equations	equation	NOUN
ap-951	723	56	here	here	ADV
ap-951	723	57	we	we	PRON
ap-951	723	58	consider	consider	VERB
ap-951	723	59	a	a	DET
ap-951	723	60	twisted	twisted	ADJ
ap-951	723	61	version	version	NOUN
ap-951	723	62	of	of	ADP
ap-951	723	63	�	�	PROPN
ap-951	723	64	�	�	PROPN
ap-951	723	65	4	4	NUM
ap-951	723	66	super	super	PROPN
ap-951	723	67	yang	yang	PROPN
ap-951	723	68	-	-	PUNCT
ap-951	723	69	mills	mill	NOUN
ap-951	723	70	theory	theory	NOUN
ap-951	723	71	in	in	ADP
ap-951	723	72	four	four	NUM
ap-951	723	73	dimension	dimension	NOUN
ap-951	723	74	.	.	PUNCT
ap-951	724	1	this	this	DET
ap-951	724	2	theory	theory	NOUN
ap-951	724	3	was	be	AUX
ap-951	724	4	analyzed	analyze	VERB
ap-951	724	5	in	in	ADP
ap-951	724	6	detail	detail	NOUN
ap-951	724	7	in	in	ADP
ap-951	724	8	[	[	X
ap-951	724	9	16	16	NUM
ap-951	724	10	,	,	PUNCT
ap-951	724	11	17	17	NUM
ap-951	724	12	,	,	PUNCT
ap-951	724	13	18	18	NUM
ap-951	724	14	]	]	PUNCT
ap-951	724	15	to	to	PART
ap-951	724	16	develop	develop	VERB
ap-951	724	17	a	a	DET
ap-951	724	18	field	field	NOUN
ap-951	724	19	-	-	PUNCT
ap-951	724	20	theoretical	theoretical	ADJ
ap-951	724	21	approach	approach	NOUN
ap-951	724	22	to	to	ADP
ap-951	724	23	the	the	DET
ap-951	724	24	geometric	geometric	ADJ
ap-951	724	25	langlands	langland	NOUN
ap-951	724	26	program	program	NOUN
ap-951	724	27	.	.	PUNCT
ap-951	725	1	quantum	quantum	PROPN
ap-951	725	2	hitchin	hitchin	PROPN
ap-951	725	3	systems	system	NOUN
ap-951	725	4	are	be	AUX
ap-951	725	5	one	one	NUM
ap-951	725	6	side	side	NOUN
ap-951	725	7	of	of	ADP
ap-951	725	8	this	this	DET
ap-951	725	9	construction	construction	NOUN
ap-951	725	10	and	and	CCONJ
ap-951	725	11	here	here	ADV
ap-951	725	12	we	we	PRON
ap-951	725	13	use	use	VERB
ap-951	725	14	only	only	ADV
ap-951	725	15	a	a	DET
ap-951	725	16	minor	minor	ADJ
ap-951	725	17	part	part	NOUN
ap-951	725	18	of	of	ADP
ap-951	725	19	[	[	X
ap-951	725	20	16	16	NUM
ap-951	725	21	]	]	PUNCT
ap-951	725	22	.	.	PUNCT
ap-951	726	1	the	the	DET
ap-951	726	2	twisted	twisted	ADJ
ap-951	726	3	theory	theory	NOUN
ap-951	726	4	is	be	AUX
ap-951	726	5	a	a	DET
ap-951	726	6	topological	topological	ADJ
ap-951	726	7	theory	theory	NOUN
ap-951	726	8	that	that	PRON
ap-951	726	9	contains	contain	VERB
ap-951	726	10	a	a	DET
ap-951	726	11	generalization	generalization	NOUN
ap-951	726	12	of	of	ADP
ap-951	726	13	the	the	DET
ap-951	726	14	hitchin	hitchin	PROPN
ap-951	726	15	equations	equation	NOUN
ap-951	726	16	(	(	PUNCT
ap-951	726	17	5.9	5.9	NUM
ap-951	726	18	)	)	PUNCT
ap-951	726	19	as	as	ADP
ap-951	726	20	a	a	DET
ap-951	726	21	condition	condition	NOUN
ap-951	726	22	of	of	ADP
ap-951	726	23	brst	brst	ADJ
ap-951	726	24	invariance	invariance	NOUN
ap-951	726	25	.	.	PUNCT
ap-951	727	1	our	our	PRON
ap-951	727	2	goal	goal	NOUN
ap-951	727	3	is	be	AUX
ap-951	727	4	to	to	PART
ap-951	727	5	describe	describe	VERB
ap-951	727	6	the	the	DET
ap-951	727	7	hecke	hecke	NOUN
ap-951	727	8	transformations	transformation	NOUN
ap-951	727	9	in	in	ADP
ap-951	727	10	terms	term	NOUN
ap-951	727	11	of	of	ADP
ap-951	727	12	the	the	DET
ap-951	727	13	theory	theory	NOUN
ap-951	727	14	.	.	PUNCT
ap-951	728	1	in	in	ADP
ap-951	728	2	section	section	NOUN
ap-951	728	3	4	4	NUM
ap-951	728	4	we	we	PRON
ap-951	728	5	have	have	AUX
ap-951	728	6	defined	define	VERB
ap-951	728	7	the	the	DET
ap-951	728	8	hecke	hecke	NOUN
ap-951	728	9	transformations	transformation	NOUN
ap-951	728	10	as	as	ADP
ap-951	728	11	an	an	DET
ap-951	728	12	instant	instant	ADJ
ap-951	728	13	singular	singular	ADJ
ap-951	728	14	gauge	gauge	NOUN
ap-951	728	15	transformation	transformation	NOUN
ap-951	728	16	.	.	PUNCT
ap-951	729	1	the	the	DET
ap-951	729	2	four	four	NUM
ap-951	729	3	-	-	PUNCT
ap-951	729	4	dimensional	dimensional	ADJ
ap-951	729	5	theory	theory	NOUN
ap-951	729	6	allows	allow	VERB
ap-951	729	7	to	to	PART
ap-951	729	8	consider	consider	VERB
ap-951	729	9	gauge	gauge	ADJ
ap-951	729	10	transformations	transformation	NOUN
ap-951	729	11	varying	vary	VERB
ap-951	729	12	along	along	ADP
ap-951	729	13	a	a	DET
ap-951	729	14	space	space	NOUN
ap-951	729	15	coordinate	coordinate	NOUN
ap-951	729	16	x3	x3	ADJ
ap-951	729	17	.	.	PUNCT
ap-951	730	1	they	they	PRON
ap-951	730	2	become	become	VERB
ap-951	730	3	singular	singular	ADJ
ap-951	730	4	at	at	ADP
ap-951	730	5	some	some	DET
ap-951	730	6	point	point	NOUN
ap-951	730	7	,	,	PUNCT
ap-951	730	8	say	say	VERB
ap-951	730	9	x3	x3	ADJ
ap-951	730	10	0	0	NUM
ap-951	730	11	�	�	PROPN
ap-951	730	12	,	,	PUNCT
ap-951	730	13	where	where	SCONJ
ap-951	730	14	a	a	DET
ap-951	730	15	singular	singular	ADJ
ap-951	730	16	t’hooft	t’hooft	NOUN
ap-951	730	17	operator	operator	NOUN
ap-951	730	18	is	be	AUX
ap-951	730	19	located	locate	VERB
ap-951	730	20	.	.	PUNCT
ap-951	731	1	this	this	PRON
ap-951	731	2	gives	give	VERB
ap-951	731	3	a	a	DET
ap-951	731	4	natural	natural	ADJ
ap-951	731	5	description	description	NOUN
ap-951	731	6	of	of	ADP
ap-951	731	7	the	the	DET
ap-951	731	8	symplectic	symplectic	PROPN
ap-951	731	9	hecke	hecke	PROPN
ap-951	731	10	correspondence	correspondence	NOUN
ap-951	731	11	in	in	ADP
ap-951	731	12	terms	term	NOUN
ap-951	731	13	of	of	ADP
ap-951	731	14	a	a	DET
ap-951	731	15	monopole	monopole	ADJ
ap-951	731	16	configuration	configuration	NOUN
ap-951	731	17	in	in	ADP
ap-951	731	18	the	the	DET
ap-951	731	19	twisted	twisted	ADJ
ap-951	731	20	theory	theory	NOUN
ap-951	731	21	.	.	PUNCT
ap-951	732	1	5.2.1	5.2.1	NUM
ap-951	732	2	twisting	twisting	NOUN
ap-951	732	3	of	of	ADP
ap-951	732	4	susy	susy	PROPN
ap-951	732	5	yang	yang	PROPN
ap-951	732	6	-	-	PUNCT
ap-951	732	7	mills	mill	NOUN
ap-951	732	8	theory	theory	NOUN
ap-951	732	9	�	�	PROPN
ap-951	732	10	�	�	PROPN
ap-951	732	11	4	4	NUM
ap-951	732	12	susy	susy	PROPN
ap-951	732	13	su	su	PROPN
ap-951	732	14	(	(	PUNCT
ap-951	732	15	)	)	PUNCT
ap-951	732	16	n	n	PROPN
ap-951	732	17	yang	yang	PROPN
ap-951	732	18	-	-	PUNCT
ap-951	732	19	mills	mill	NOUN
ap-951	732	20	action	action	NOUN
ap-951	732	21	in	in	ADP
ap-951	732	22	four	four	NUM
ap-951	732	23	dimension	dimension	NOUN
ap-951	732	24	can	can	AUX
ap-951	732	25	be	be	AUX
ap-951	732	26	derived	derive	VERB
ap-951	732	27	from	from	ADP
ap-951	732	28	the	the	DET
ap-951	732	29	�	�	PROPN
ap-951	732	30	�	�	PROPN
ap-951	732	31	4	4	NUM
ap-951	732	32	susy	susy	PROPN
ap-951	732	33	su	su	PROPN
ap-951	732	34	(	(	PUNCT
ap-951	732	35	)	)	PUNCT
ap-951	732	36	n	n	PROPN
ap-951	732	37	yang	yang	PROPN
ap-951	732	38	-	-	PUNCT
ap-951	732	39	mills	mill	NOUN
ap-951	732	40	action	action	NOUN
ap-951	732	41	in	in	ADP
ap-951	732	42	ten	ten	NUM
ap-951	732	43	dimensions	dimension	NOUN
ap-951	732	44	by	by	ADP
ap-951	732	45	dimensional	dimensional	ADJ
ap-951	732	46	reduction	reduction	NOUN
ap-951	732	47	.	.	PUNCT
ap-951	733	1	we	we	PRON
ap-951	733	2	need	need	VERB
ap-951	733	3	only	only	ADV
ap-951	733	4	the	the	DET
ap-951	733	5	bosonic	bosonic	ADJ
ap-951	733	6	part	part	NOUN
ap-951	733	7	of	of	ADP
ap-951	733	8	the	the	DET
ap-951	733	9	reduced	reduce	VERB
ap-951	733	10	theory	theory	NOUN
ap-951	733	11	.	.	PUNCT
ap-951	734	1	the	the	DET
ap-951	734	2	bosonic	bosonic	PROPN
ap-951	734	3	fields	field	NOUN
ap-951	734	4	of	of	ADP
ap-951	734	5	the	the	DET
ap-951	734	6	4d	4d	PROPN
ap-951	734	7	yang	yang	PROPN
ap-951	734	8	-	-	PUNCT
ap-951	734	9	mills	mill	NOUN
ap-951	734	10	theory	theory	NOUN
ap-951	734	11	are	be	AUX
ap-951	734	12	the	the	DET
ap-951	734	13	four	four	NUM
ap-951	734	14	-	-	PUNCT
ap-951	734	15	dimensional	dimensional	ADJ
ap-951	734	16	gauge	gauge	NOUN
ap-951	734	17	potential	potential	NOUN
ap-951	734	18	a	a	DET
ap-951	734	19	a	a	DET
ap-951	734	20	a	a	DET
ap-951	734	21	a	a	DET
ap-951	734	22	a	a	DET
ap-951	734	23	�	�	PROPN
ap-951	734	24	(	(	PUNCT
ap-951	734	25	,	,	PUNCT
ap-951	734	26	,	,	PUNCT
ap-951	734	27	,	,	PUNCT
ap-951	734	28	)	)	PUNCT
ap-951	734	29	0	0	NUM
ap-951	734	30	1	1	NUM
ap-951	734	31	2	2	NUM
ap-951	734	32	3	3	NUM
ap-951	734	33	,	,	PUNCT
ap-951	734	34	and	and	CCONJ
ap-951	734	35	six	six	NUM
ap-951	734	36	scalar	scalar	ADJ
ap-951	734	37	fields	field	NOUN
ap-951	734	38	coming	come	VERB
ap-951	734	39	from	from	ADP
ap-951	734	40	six	six	NUM
ap-951	734	41	extra	extra	ADJ
ap-951	734	42	dimensions	dimension	NOUN
ap-951	734	43	�	�	PROPN
ap-951	734	44	�	�	PROPN
ap-951	734	45	�	�	PROPN
ap-951	734	46	�	�	PROPN
ap-951	734	47	�	�	PROPN
ap-951	734	48	�	�	PROPN
ap-951	734	49	�	�	PROPN
ap-951	734	50	�	�	PROPN
ap-951	734	51	(	(	PUNCT
ap-951	734	52	,	,	PUNCT
ap-951	734	53	,	,	PUNCT
ap-951	734	54	,	,	PUNCT
ap-951	734	55	,	,	PUNCT
ap-951	734	56	,	,	PUNCT
ap-951	734	57	)	)	PUNCT
ap-951	734	58	0	0	NUM
ap-951	734	59	1	1	NUM
ap-951	734	60	2	2	NUM
ap-951	734	61	3	3	NUM
ap-951	734	62	4	4	NUM
ap-951	734	63	5	5	NUM
ap-951	734	64	.	.	PUNCT
ap-951	735	1	the	the	DET
ap-951	735	2	bosonic	bosonic	PROPN
ap-951	735	3	part	part	NOUN
ap-951	735	4	of	of	ADP
ap-951	735	5	the	the	DET
ap-951	735	6	action	action	NOUN
ap-951	735	7	has	have	VERB
ap-951	735	8	the	the	DET
ap-951	735	9	form	form	NOUN
ap-951	736	1	i	i	NOUN
ap-951	736	2	e	e	NOUN
ap-951	737	1	d	d	NOUN
ap-951	737	2	x	x	X
ap-951	737	3	f	f	NOUN
ap-951	737	4	f	f	X
ap-951	738	1	d	d	X
ap-951	738	2	di	di	X
ap-951	738	3	i	i	PROPN
ap-951	738	4	�	�	PROPN
ap-951	738	5	�	�	PROPN
ap-951	738	6	�	�	PROPN
ap-951	738	7	�	�	PROPN
ap-951	738	8	�	�	PROPN
ap-951	738	9	�	�	PROPN
ap-951	738	10	�	�	PROPN
ap-951	738	11	�	�	PROPN
ap-951	738	12	�	�	PROPN
ap-951	738	13	�	�	PROPN
ap-951	738	14	�	�	PROPN
ap-951	738	15	�	�	PROPN
ap-951	738	16	1	1	NUM
ap-951	738	17	2	2	NUM
ap-951	738	18	4	4	NUM
ap-951	738	19	0	0	NUM
ap-951	738	20	3	3	NUM
ap-951	738	21	1	1	NUM
ap-951	738	22	6	6	NUM
ap-951	738	23	0	0	NUM
ap-951	738	24	3	3	NUM
ap-951	738	25	tr	tr	NOUN
ap-951	738	26	1	1	NUM
ap-951	738	27	2	2	NUM
ap-951	738	28	�	�	PROPN
ap-951	738	29	�	�	PROPN
ap-951	738	30	�	�	PROPN
ap-951	738	31	�	�	PROPN
ap-951	738	32	�	�	PROPN
ap-951	738	33	�	�	PROPN
ap-951	738	34	�	�	PROPN
ap-951	738	35	�	�	PROPN
ap-951	738	36	,	,	PUNCT
ap-951	738	37	1	1	NUM
ap-951	738	38	2	2	NUM
ap-951	738	39	[	[	PUNCT
ap-951	738	40	]	]	PUNCT
ap-951	738	41	.	.	PUNCT
ap-951	739	1	,	,	PUNCT
ap-951	739	2	�	�	PROPN
ap-951	739	3	�	�	PROPN
ap-951	739	4	i	i	PRON
ap-951	739	5	j	j	VERB
ap-951	740	1	i	i	PRON
ap-951	740	2	j	j	PROPN
ap-951	740	3	2	2	NUM
ap-951	740	4	0	0	NUM
ap-951	740	5	6	6	NUM
ap-951	740	6	�	�	PROPN
ap-951	740	7	�	�	PROPN
ap-951	740	8	�	�	PROPN
ap-951	740	9	�	�	PROPN
ap-951	740	10	�	�	PROPN
ap-951	740	11	�	�	PROPN
ap-951	740	12	�	�	PROPN
ap-951	740	13	the	the	DET
ap-951	740	14	symmetry	symmetry	NOUN
ap-951	740	15	of	of	ADP
ap-951	740	16	the	the	DET
ap-951	740	17	action	action	NOUN
ap-951	740	18	is	be	AUX
ap-951	740	19	spin(4)×spin(6	spin(4)×spin(6	PROPN
ap-951	740	20	)	)	PUNCT
ap-951	740	21	(	(	PUNCT
ap-951	740	22	or	or	CCONJ
ap-951	740	23	spin(1,3)×spin(6	spin(1,3)×spin(6	ADJ
ap-951	740	24	)	)	PUNCT
ap-951	740	25	in	in	ADP
ap-951	740	26	the	the	DET
ap-951	740	27	lorentz	lorentz	PROPN
ap-951	740	28	signature	signature	NOUN
ap-951	740	29	)	)	PUNCT
ap-951	740	30	.	.	PUNCT
ap-951	741	1	the	the	DET
ap-951	741	2	sixteen	sixteen	NUM
ap-951	741	3	generators	generator	NOUN
ap-951	741	4	of	of	ADP
ap-951	741	5	the	the	DET
ap-951	741	6	4d	4d	NUM
ap-951	741	7	supersymmetry	supersymmetry	NOUN
ap-951	741	8	are	be	AUX
ap-951	741	9	transformed	transform	VERB
ap-951	741	10	under	under	ADP
ap-951	741	11	spin(1,3)×spin(6)~sl(2)×sl(2)×spin(6	spin(1,3)×spin(6)~sl(2)×sl(2)×spin(6	NOUN
ap-951	741	12	)	)	PUNCT
ap-951	741	13	as	as	ADP
ap-951	741	14	(	(	PUNCT
ap-951	741	15	,	,	PUNCT
ap-951	741	16	,	,	PUNCT
ap-951	741	17	)	)	PUNCT
ap-951	741	18	(	(	PUNCT
ap-951	741	19	,	,	PUNCT
ap-951	741	20	,	,	PUNCT
ap-951	741	21	)	)	PUNCT
ap-951	741	22	2	2	NUM
ap-951	741	23	1	1	NUM
ap-951	741	24	4	4	NUM
ap-951	741	25	1	1	NUM
ap-951	741	26	2	2	NUM
ap-951	741	27	4	4	NUM
ap-951	741	28	�	�	NOUN
ap-951	741	29	:	:	PUNCT
ap-951	741	30	{	{	PUNCT
ap-951	741	31	}	}	PUNCT
ap-951	741	32	{	{	PUNCT
ap-951	741	33	}	}	PUNCT
ap-951	741	34	q	q	X
ap-951	741	35	qax	qax	ADP
ap-951	741	36	a	a	DET
ap-951	741	37	y	y	PROPN
ap-951	741	38	�	�	PROPN
ap-951	741	39	,	,	PUNCT
ap-951	741	40	(	(	PUNCT
ap-951	741	41	,	,	PUNCT
ap-951	741	42	;	;	PUNCT
ap-951	741	43	,	,	PUNCT
ap-951	741	44	,	,	PUNCT
ap-951	741	45	)	)	PUNCT
ap-951	741	46	a	a	DET
ap-951	741	47	x	x	X
ap-951	741	48	�	�	PROPN
ap-951	741	49	�	�	PROPN
ap-951	741	50	1	1	NUM
ap-951	741	51	2	2	NUM
ap-951	741	52	1	1	NUM
ap-951	741	53	4	4	NUM
ap-951	741	54	�	�	NOUN
ap-951	741	55	,	,	PUNCT
ap-951	741	56	(	(	PUNCT
ap-951	741	57	�	�	PROPN
ap-951	741	58	,	,	PUNCT
ap-951	741	59	;	;	PUNCT
ap-951	741	60	,	,	PUNCT
ap-951	741	61	,	,	PUNCT
ap-951	741	62	)	)	PUNCT
ap-951	741	63	a	a	DET
ap-951	741	64	y	y	PROPN
ap-951	741	65	�	�	PROPN
ap-951	741	66	�	�	PROPN
ap-951	741	67	1	1	NUM
ap-951	741	68	2	2	NUM
ap-951	741	69	1	1	NUM
ap-951	741	70	4	4	NUM
ap-951	741	71	�	�	PROPN
ap-951	741	72	.	.	PUNCT
ap-951	742	1	they	they	PRON
ap-951	742	2	satisfy	satisfy	VERB
ap-951	742	3	the	the	DET
ap-951	742	4	super	super	ADJ
ap-951	742	5	-	-	ADJ
ap-951	742	6	symmetry	symmetry	ADJ
ap-951	742	7	algebra	algebra	NOUN
ap-951	742	8	{	{	PUNCT
ap-951	742	9	,	,	PUNCT
ap-951	742	10	}	}	PUNCT
ap-951	742	11	�	�	PROPN
ap-951	742	12	q	q	NOUN
ap-951	742	13	q	q	NOUN
ap-951	742	14	pax	pax	NOUN
ap-951	742	15	a	a	PRON
ap-951	742	16	y	y	NOUN
ap-951	742	17	x	x	SYM
ap-951	742	18	y	y	PROPN
ap-951	742	19	aa	aa	PROPN
ap-951	742	20	�	�	PROPN
ap-951	742	21	�	�	PROPN
ap-951	742	22	�	�	PROPN
ap-951	742	23	�	�	PROPN
ap-951	742	24	�	�	PROPN
ap-951	742	25	�	�	PROPN
ap-951	742	26	�	�	PROPN
ap-951	742	27	�	�	PROPN
ap-951	742	28	0	0	NUM
ap-951	742	29	3	3	NUM
ap-951	742	30	,	,	PUNCT
ap-951	742	31	{	{	PUNCT
ap-951	742	32	,	,	PUNCT
ap-951	742	33	}	}	PUNCT
ap-951	742	34	q	q	PRON
ap-951	742	35	q	q	X
ap-951	742	36	�	�	PROPN
ap-951	742	37	0	0	NUM
ap-951	742	38	,	,	PUNCT
ap-951	742	39	{	{	PUNCT
ap-951	742	40	,	,	PUNCT
ap-951	742	41	}	}	PUNCT
ap-951	742	42	q	q	PRON
ap-951	742	43	q	q	X
ap-951	742	44	�	�	PROPN
ap-951	742	45	0	0	NUM
ap-951	742	46	.	.	PUNCT
ap-951	743	1	(	(	PUNCT
ap-951	743	2	5.18	5.18	NUM
ap-951	743	3	)	)	PUNCT
ap-951	743	4	the	the	DET
ap-951	743	5	action	action	NOUN
ap-951	743	6	of	of	ADP
ap-951	743	7	q	q	NOUN
ap-951	743	8	on	on	ADP
ap-951	743	9	a	a	DET
ap-951	743	10	field	field	NOUN
ap-951	743	11	x	x	PUNCT
ap-951	743	12	takes	take	VERB
ap-951	743	13	the	the	DET
ap-951	743	14	form	form	NOUN
ap-951	743	15	�	�	NOUN
ap-951	743	16	x	x	SYM
ap-951	743	17	q	q	NOUN
ap-951	743	18	x	x	X
ap-951	743	19	�	�	PROPN
ap-951	743	20	{	{	PUNCT
ap-951	743	21	,	,	PUNCT
ap-951	743	22	}	}	PUNCT
ap-951	743	23	.	.	PUNCT
ap-951	744	1	let	let	VERB
ap-951	744	2	#	#	NOUN
ap-951	744	3	be	be	AUX
ap-951	744	4	a	a	DET
ap-951	744	5	map	map	NOUN
ap-951	744	6	spin(4	spin(4	PROPN
ap-951	744	7	)	)	PUNCT
ap-951	744	8	�	�	PROPN
ap-951	744	9	spin(6	spin(6	PROPN
ap-951	744	10	)	)	PUNCT
ap-951	744	11	and	and	CCONJ
ap-951	744	12	set	set	VERB
ap-951	744	13	spin	spin	NOUN
ap-951	745	1	i	i	PRON
ap-951	745	2	d	d	NOUN
ap-951	745	3	spin	spin	VERB
ap-951	745	4	�	�	PROPN
ap-951	745	5	�	�	PROPN
ap-951	745	6	(	(	PUNCT
ap-951	745	7	)	)	PUNCT
ap-951	745	8	(	(	PUNCT
ap-951	745	9	)	)	PUNCT
ap-951	745	10	(	(	PUNCT
ap-951	745	11	)	)	PUNCT
ap-951	745	12	4	4	NUM
ap-951	745	13	4	4	NUM
ap-951	745	14	#	#	NOUN
ap-951	745	15	.	.	PUNCT
ap-951	746	1	define	define	VERB
ap-951	746	2	#	#	NOUN
ap-951	746	3	in	in	ADP
ap-951	746	4	such	such	DET
ap-951	746	5	a	a	DET
ap-951	746	6	way	way	NOUN
ap-951	746	7	that	that	PRON
ap-951	746	8	the	the	DET
ap-951	746	9	action	action	NOUN
ap-951	746	10	of	of	ADP
ap-951	746	11	spin	spin	PROPN
ap-951	746	12	�	�	PROPN
ap-951	746	13	(	(	PUNCT
ap-951	746	14	)	)	PUNCT
ap-951	746	15	4	4	NUM
ap-951	746	16	on	on	ADP
ap-951	746	17	the	the	DET
ap-951	746	18	chiral	chiral	ADJ
ap-951	746	19	spinor	spinor	NOUN
ap-951	746	20	�	�	PROPN
ap-951	746	21	has	have	VERB
ap-951	746	22	an	an	DET
ap-951	746	23	invariant	invariant	ADJ
ap-951	746	24	vector	vector	NOUN
ap-951	746	25	.	.	PUNCT
ap-951	747	1	let	let	VERB
ap-951	747	2	q	q	NOUN
ap-951	747	3	be	be	AUX
ap-951	747	4	the	the	DET
ap-951	747	5	corresponding	corresponding	ADJ
ap-951	747	6	supersymmetry	supersymmetry	NOUN
ap-951	747	7	.	.	PUNCT
ap-951	748	1	it	it	PRON
ap-951	748	2	follows	follow	VERB
ap-951	748	3	from	from	ADP
ap-951	748	4	(	(	PUNCT
ap-951	748	5	5.18	5.18	NUM
ap-951	748	6	)	)	PUNCT
ap-951	748	7	that	that	SCONJ
ap-951	748	8	it	it	PRON
ap-951	748	9	obeys	obey	VERB
ap-951	748	10	q2	q2	PROPN
ap-951	748	11	0	0	NUM
ap-951	748	12	�	�	PROPN
ap-951	748	13	.	.	PUNCT
ap-951	749	1	the	the	DET
ap-951	749	2	twisted	twisted	ADJ
ap-951	749	3	theory	theory	NOUN
ap-951	749	4	is	be	AUX
ap-951	749	5	defined	define	VERB
ap-951	749	6	by	by	ADP
ap-951	749	7	the	the	DET
ap-951	749	8	physical	physical	ADJ
ap-951	749	9	observables	observable	NOUN
ap-951	749	10	from	from	ADP
ap-951	749	11	the	the	DET
ap-951	749	12	cohomology	cohomology	NOUN
ap-951	749	13	groups	group	NOUN
ap-951	749	14	h	h	PROPN
ap-951	749	15	q5	q5	PROPN
ap-951	749	16	(	(	PUNCT
ap-951	749	17	)	)	PUNCT
ap-951	749	18	.	.	PUNCT
ap-951	750	1	the	the	DET
ap-951	750	2	twisted	twisted	ADJ
ap-951	750	3	four	four	NUM
ap-951	750	4	scalar	scalar	ADJ
ap-951	750	5	fields	field	NOUN
ap-951	750	6	�	�	PROPN
ap-951	750	7	�	�	PROPN
ap-951	750	8	�	�	PROPN
ap-951	750	9	�	�	PROPN
ap-951	750	10	(	(	PUNCT
ap-951	750	11	,	,	PUNCT
ap-951	750	12	,	,	PUNCT
ap-951	750	13	)	)	PUNCT
ap-951	750	14	0	0	NUM
ap-951	750	15	3	3	NUM
ap-951	750	16	�	�	NOUN
ap-951	750	17	are	be	AUX
ap-951	750	18	reinterpreted	reinterpret	VERB
ap-951	750	19	as	as	ADP
ap-951	750	20	adjoint	adjoint	NOUN
ap-951	750	21	-	-	PUNCT
ap-951	750	22	valued	value	VERB
ap-951	750	23	one	one	NUM
ap-951	750	24	-	-	PUNCT
ap-951	750	25	forms	form	NOUN
ap-951	750	26	on	on	ADP
ap-951	750	27	�	�	PROPN
ap-951	750	28	4	4	NUM
ap-951	750	29	,	,	PUNCT
ap-951	750	30	while	while	SCONJ
ap-951	750	31	untwisted	untwist	VERB
ap-951	750	32	$	$	SYM
ap-951	750	33	$	$	SYM
ap-951	750	34	�	�	PROPN
ap-951	750	35	�	�	PROPN
ap-951	750	36	,	,	PUNCT
ap-951	750	37	�	�	PROPN
ap-951	750	38	)	)	PUNCT
ap-951	750	39	4	4	NUM
ap-951	750	40	5i	5i	NUM
ap-951	750	41	remain	remain	VERB
ap-951	750	42	adjoint	adjoint	NOUN
ap-951	750	43	-	-	PUNCT
ap-951	750	44	valued	value	VERB
ap-951	750	45	scalars	scalar	NOUN
ap-951	750	46	.	.	PUNCT
ap-951	751	1	in	in	ADP
ap-951	751	2	fact	fact	NOUN
ap-951	751	3	there	there	PRON
ap-951	751	4	is	be	VERB
ap-951	751	5	a	a	DET
ap-951	751	6	family	family	NOUN
ap-951	751	7	of	of	ADP
ap-951	751	8	topological	topological	ADJ
ap-951	751	9	theories	theory	NOUN
ap-951	751	10	parameterized	parameterize	VERB
ap-951	751	11	by	by	ADP
ap-951	751	12	t	t	PROPN
ap-951	751	13	�	�	PROPN
ap-951	751	14	�	�	PROPN
ap-951	751	15	�	�	PROPN
ap-951	751	16	1	1	NUM
ap-951	751	17	.	.	PUNCT
ap-951	751	18	to	to	PART
ap-951	751	19	be	be	AUX
ap-951	751	20	invariant	invariant	ADJ
ap-951	751	21	under	under	ADP
ap-951	751	22	q	q	PROPN
ap-951	751	23	the	the	DET
ap-951	751	24	bosonic	bosonic	NOUN
ap-951	751	25	fields	field	NOUN
ap-951	751	26	should	should	AUX
ap-951	751	27	satisfy	satisfy	VERB
ap-951	751	28	the	the	DET
ap-951	751	29	equations	equation	NOUN
ap-951	751	30	1	1	NUM
ap-951	751	31	0	0	NUM
ap-951	751	32	2	2	NUM
ap-951	751	33	0	0	NUM
ap-951	751	34	3	3	NUM
ap-951	751	35	0	0	NUM
ap-951	751	36	1	1	NUM
ap-951	751	37	)	)	PUNCT
ap-951	751	38	(	(	PUNCT
ap-951	751	39	)	)	PUNCT
ap-951	751	40	,	,	PUNCT
ap-951	751	41	)	)	PUNCT
ap-951	751	42	(	(	PUNCT
ap-951	751	43	)	)	PUNCT
ap-951	751	44	,	,	PUNCT
ap-951	751	45	)	)	PUNCT
ap-951	751	46	,	,	PUNCT
ap-951	751	47	f	f	PROPN
ap-951	751	48	td	td	NOUN
ap-951	751	49	f	f	PROPN
ap-951	751	50	t	t	PROPN
ap-951	751	51	d	d	PROPN
ap-951	751	52	d	d	X
ap-951	751	53	�	�	PROPN
ap-951	751	54	�	�	PROPN
ap-951	751	55	�	�	PROPN
ap-951	751	56	�	�	PROPN
ap-951	751	57	�	�	PROPN
ap-951	751	58	�	�	PROPN
ap-951	751	59	�	�	PROPN
ap-951	751	60	3	3	NUM
ap-951	751	61	3	3	NUM
ap-951	751	62	�	�	PROPN
ap-951	751	63	�	�	PROPN
ap-951	751	64	�	�	PROPN
ap-951	751	65	�	�	PROPN
ap-951	751	66	�	�	PROPN
ap-951	751	67	�	�	PROPN
ap-951	751	68	�	�	PROPN
ap-951	751	69	�	�	PROPN
ap-951	751	70	�	�	PROPN
ap-951	751	71	�	�	PROPN
ap-951	751	72	(	(	PUNCT
ap-951	751	73	5.19	5.19	NUM
ap-951	751	74	)	)	PUNCT
ap-951	751	75	where	where	SCONJ
ap-951	751	76	)	)	PUNCT
ap-951	751	77	denote	denote	VERB
ap-951	751	78	the	the	DET
ap-951	751	79	self	self	NOUN
ap-951	751	80	-	-	PUNCT
ap-951	751	81	dual	dual	ADJ
ap-951	751	82	and	and	CCONJ
ap-951	751	83	the	the	DET
ap-951	751	84	anti	anti	ADJ
ap-951	751	85	-	-	ADJ
ap-951	751	86	self	self	ADJ
ap-951	751	87	-	-	PUNCT
ap-951	751	88	dual	dual	ADJ
ap-951	751	89	parts	part	NOUN
ap-951	751	90	for	for	ADP
ap-951	751	91	four	four	NUM
ap-951	751	92	-	-	PUNCT
ap-951	751	93	dimensional	dimensional	ADJ
ap-951	751	94	two	two	NUM
ap-951	751	95	-	-	PUNCT
ap-951	751	96	forms	form	NOUN
ap-951	751	97	,	,	PUNCT
ap-951	751	98	d	d	PROPN
ap-951	751	99	d	d	X
ap-951	751	100	�	�	PROPN
ap-951	751	101	[	[	PUNCT
ap-951	751	102	,	,	PUNCT
ap-951	751	103	]	]	X
ap-951	751	104	a	a	DET
ap-951	751	105	and3	and3	NOUN
ap-951	751	106	is	be	AUX
ap-951	751	107	the	the	DET
ap-951	751	108	hodge	hodge	PROPN
ap-951	751	109	operator	operator	NOUN
ap-951	751	110	in	in	ADP
ap-951	751	111	four	four	NUM
ap-951	751	112	dimension	dimension	NOUN
ap-951	751	113	.	.	PUNCT
ap-951	752	1	we	we	PRON
ap-951	752	2	are	be	AUX
ap-951	752	3	interested	interested	ADJ
ap-951	752	4	in	in	ADP
ap-951	752	5	solutions	solution	NOUN
ap-951	752	6	of	of	ADP
ap-951	752	7	this	this	DET
ap-951	752	8	system	system	NOUN
ap-951	752	9	up	up	ADP
ap-951	752	10	to	to	PART
ap-951	752	11	gauge	gauge	VERB
ap-951	752	12	transformations	transformation	NOUN
ap-951	752	13	.	.	PUNCT
ap-951	753	1	this	this	DET
ap-951	753	2	theory	theory	NOUN
ap-951	753	3	defined	define	VERB
ap-951	753	4	on	on	ADP
ap-951	753	5	flat	flat	ADJ
ap-951	753	6	�	�	PROPN
ap-951	753	7	4	4	NUM
ap-951	753	8	can	can	AUX
ap-951	753	9	be	be	AUX
ap-951	753	10	extended	extend	VERB
ap-951	753	11	to	to	ADP
ap-951	753	12	any	any	DET
ap-951	753	13	four	four	NUM
ap-951	753	14	-	-	PUNCT
ap-951	753	15	manifold	manifold	ADJ
ap-951	753	16	m	m	NOUN
ap-951	753	17	in	in	ADP
ap-951	753	18	such	such	DET
ap-951	753	19	a	a	DET
ap-951	753	20	way	way	NOUN
ap-951	753	21	that	that	PRON
ap-951	753	22	it	it	PRON
ap-951	753	23	preserves	preserve	VERB
ap-951	753	24	the	the	DET
ap-951	753	25	q	q	NOUN
ap-951	753	26	-	-	PUNCT
ap-951	753	27	symmetry	symmetry	NOUN
ap-951	753	28	and	and	CCONJ
ap-951	753	29	the	the	DET
ap-951	753	30	contributions	contribution	NOUN
ap-951	753	31	of	of	ADP
ap-951	753	32	the	the	DET
ap-951	753	33	metric	metric	NOUN
ap-951	753	34	come	come	VERB
ap-951	753	35	only	only	ADV
ap-951	753	36	from	from	ADP
ap-951	753	37	q	q	ADJ
ap-951	753	38	-	-	PUNCT
ap-951	753	39	exact	exact	ADJ
ap-951	753	40	terms	term	NOUN
ap-951	753	41	.	.	PUNCT
ap-951	754	1	the	the	DET
ap-951	754	2	bosonic	bosonic	ADJ
ap-951	754	3	part	part	NOUN
ap-951	754	4	of	of	ADP
ap-951	754	5	the	the	DET
ap-951	754	6	theory	theory	NOUN
ap-951	754	7	is	be	AUX
ap-951	754	8	described	describe	VERB
ap-951	754	9	by	by	ADP
ap-951	754	10	connections	connection	NOUN
ap-951	754	11	a	a	DET
ap-951	754	12	�	�	PROPN
ap-951	754	13	(	(	PUNCT
ap-951	754	14	,	,	PUNCT
ap-951	754	15	,	,	PUNCT
ap-951	754	16	,	,	PUNCT
ap-951	754	17	)	)	PUNCT
ap-951	754	18	a	a	DET
ap-951	754	19	a	a	DET
ap-951	754	20	a	a	DET
ap-951	754	21	a0	a0	NOUN
ap-951	754	22	1	1	NUM
ap-951	754	23	2	2	NUM
ap-951	754	24	3	3	NUM
ap-951	754	25	in	in	ADP
ap-951	754	26	a	a	DET
ap-951	754	27	bundle	bundle	NOUN
ap-951	754	28	e	e	NOUN
ap-951	754	29	over	over	ADP
ap-951	754	30	m	m	PROPN
ap-951	754	31	in	in	ADP
ap-951	754	32	the	the	DET
ap-951	754	33	presence	presence	NOUN
ap-951	754	34	of	of	ADP
ap-951	754	35	the	the	DET
ap-951	754	36	adjoint	adjoint	NOUN
ap-951	754	37	-	-	PUNCT
ap-951	754	38	valued	value	VERB
ap-951	754	39	one	one	NUM
ap-951	754	40	-	-	PUNCT
ap-951	754	41	forms	form	NOUN
ap-951	754	42	�	�	PROPN
ap-951	754	43	�	�	PROPN
ap-951	754	44	�	�	PROPN
ap-951	754	45	�	�	PROPN
ap-951	754	46	�	�	PROPN
ap-951	754	47	�	�	PROPN
ap-951	754	48	(	(	PUNCT
ap-951	754	49	,	,	PUNCT
ap-951	754	50	,	,	PUNCT
ap-951	754	51	,	,	PUNCT
ap-951	754	52	)	)	PUNCT
ap-951	754	53	0	0	NUM
ap-951	754	54	1	1	NUM
ap-951	754	55	2	2	NUM
ap-951	754	56	3	3	NUM
ap-951	754	57	satisfying	satisfy	VERB
ap-951	754	58	(	(	PUNCT
ap-951	754	59	5.19	5.19	NUM
ap-951	754	60	)	)	PUNCT
ap-951	754	61	.	.	PUNCT
ap-951	755	1	the	the	DET
ap-951	755	2	important	important	ADJ
ap-951	755	3	thing	thing	NOUN
ap-951	755	4	for	for	ADP
ap-951	755	5	the	the	DET
ap-951	755	6	case	case	NOUN
ap-951	755	7	of	of	ADP
ap-951	755	8	integrable	integrable	ADJ
ap-951	755	9	systems	system	NOUN
ap-951	755	10	is	be	AUX
ap-951	755	11	m	m	VERB
ap-951	755	12	g	g	PROPN
ap-951	755	13	�	�	X
ap-951	755	14	�	�	PROPN
ap-951	755	15	2	2	NUM
ap-951	755	16	�	�	PROPN
ap-951	755	17	,	,	PUNCT
ap-951	755	18	where	where	SCONJ
ap-951	755	19	�	�	PROPN
ap-951	755	20	2	2	NUM
ap-951	755	21	0	0	NUM
ap-951	755	22	3	3	NUM
ap-951	755	23	�	�	PROPN
ap-951	755	24	�	�	PROPN
ap-951	755	25	�	�	PROPN
ap-951	755	26	(	(	PUNCT
ap-951	755	27	)	)	PUNCT
ap-951	755	28	(	(	PUNCT
ap-951	755	29	)	)	PUNCT
ap-951	755	30	time	time	NOUN
ap-951	755	31	x	x	SYM
ap-951	755	32	x	x	X
ap-951	755	33	y	y	PROPN
ap-951	755	34	and	and	CCONJ
ap-951	755	35	�	�	PROPN
ap-951	755	36	g	g	PROPN
ap-951	755	37	will	will	AUX
ap-951	755	38	play	play	VERB
ap-951	755	39	the	the	DET
ap-951	755	40	role	role	NOUN
ap-951	755	41	of	of	ADP
ap-951	755	42	the	the	DET
ap-951	755	43	basic	basic	ADJ
ap-951	755	44	spectral	spectral	ADJ
ap-951	755	45	curve	curve	NOUN
ap-951	755	46	.	.	PUNCT
ap-951	756	1	�	�	PROPN
ap-951	756	2	2	2	NUM
ap-951	756	3	is	be	AUX
ap-951	756	4	not	not	PART
ap-951	756	5	involved	involve	VERB
ap-951	756	6	in	in	ADP
ap-951	756	7	the	the	DET
ap-951	756	8	twisting	twisting	NOUN
ap-951	756	9	and	and	CCONJ
ap-951	756	10	the	the	DET
ap-951	756	11	fields	field	NOUN
ap-951	756	12	(	(	PUNCT
ap-951	756	13	,	,	PUNCT
ap-951	756	14	)	)	PUNCT
ap-951	756	15	�	�	PROPN
ap-951	756	16	�	�	PROPN
ap-951	756	17	0	0	NUM
ap-951	756	18	3	3	NUM
ap-951	756	19	remain	remain	VERB
ap-951	756	20	scalars	scalar	NOUN
ap-951	756	21	,	,	PUNCT
ap-951	756	22	while	while	SCONJ
ap-951	756	23	�	�	PROPN
ap-951	756	24	�	�	PROPN
ap-951	756	25	1	1	NUM
ap-951	756	26	2	2	NUM
ap-951	756	27	,	,	PUNCT
ap-951	756	28	become	become	VERB
ap-951	756	29	one	one	NUM
ap-951	756	30	-	-	PUNCT
ap-951	756	31	forms	form	NOUN
ap-951	756	32	on	on	ADP
ap-951	756	33	�	�	PROPN
ap-951	756	34	g.	g.	NOUN
ap-951	756	35	it	it	PRON
ap-951	756	36	turns	turn	VERB
ap-951	756	37	out	out	ADP
ap-951	756	38	that	that	SCONJ
ap-951	756	39	after	after	ADP
ap-951	756	40	reduction	reduction	NOUN
ap-951	756	41	the	the	DET
ap-951	756	42	system	system	NOUN
ap-951	756	43	(	(	PUNCT
ap-951	756	44	5.19	5.19	NUM
ap-951	756	45	)	)	PUNCT
ap-951	756	46	becomes	become	VERB
ap-951	756	47	equivalent	equivalent	ADJ
ap-951	756	48	to	to	ADP
ap-951	756	49	the	the	DET
ap-951	756	50	hitchin	hitchin	PROPN
ap-951	756	51	equations	equation	NOUN
ap-951	756	52	(	(	PUNCT
ap-951	756	53	5.9	5.9	NUM
ap-951	756	54	)	)	PUNCT
ap-951	756	55	.	.	PUNCT
ap-951	757	1	5.2.2	5.2.2	NUM
ap-951	757	2	hecke	hecke	NOUN
ap-951	757	3	correspondence	correspondence	NOUN
ap-951	757	4	and	and	CCONJ
ap-951	757	5	monopoles	monopole	NOUN
ap-951	757	6	the	the	DET
ap-951	757	7	system	system	NOUN
ap-951	757	8	(	(	PUNCT
ap-951	757	9	5.19	5.19	NUM
ap-951	757	10	)	)	PUNCT
ap-951	757	11	for	for	ADP
ap-951	757	12	t	t	PROPN
ap-951	757	13	�	�	PROPN
ap-951	757	14	1can	1can	NUM
ap-951	757	15	be	be	AUX
ap-951	757	16	replaced	replace	VERB
ap-951	757	17	by	by	ADP
ap-951	757	18	f	f	PROPN
ap-951	757	19	d	d	PROPN
ap-951	757	20	�	�	PROPN
ap-951	757	21	3	3	NUM
ap-951	757	22	�	�	PROPN
ap-951	757	23	�	�	PROPN
ap-951	757	24	�	�	PROPN
ap-951	757	25	�	�	PROPN
ap-951	757	26	0	0	NUM
ap-951	757	27	(	(	PUNCT
ap-951	757	28	5.20	5.20	NUM
ap-951	757	29	)	)	PUNCT
ap-951	757	30	*	*	PUNCT
ap-951	758	1	*	*	PUNCT
ap-951	758	2	d	d	X
ap-951	758	3	�	�	PROPN
ap-951	758	4	�	�	PROPN
ap-951	758	5	0	0	NUM
ap-951	758	6	(	(	PUNCT
ap-951	758	7	5.21	5.21	NUM
ap-951	758	8	)	)	PUNCT
ap-951	758	9	assume	assume	VERB
ap-951	758	10	that	that	SCONJ
ap-951	758	11	the	the	DET
ap-951	758	12	fields	field	NOUN
ap-951	758	13	are	be	AUX
ap-951	758	14	time	time	NOUN
ap-951	758	15	independent	independent	ADJ
ap-951	758	16	and	and	CCONJ
ap-951	758	17	consider	consider	VERB
ap-951	758	18	the	the	DET
ap-951	758	19	system	system	NOUN
ap-951	758	20	on	on	ADP
ap-951	758	21	the	the	DET
ap-951	758	22	three	three	NUM
ap-951	758	23	-	-	PUNCT
ap-951	758	24	dimensional	dimensional	ADJ
ap-951	758	25	manifold	manifold	ADJ
ap-951	758	26	w	w	NOUN
ap-951	758	27	i	i	NOUN
ap-951	758	28	x	x	SYM
ap-951	758	29	g	g	ADP
ap-951	758	30	�	�	PROPN
ap-951	758	31	(	(	PUNCT
ap-951	758	32	)	)	PUNCT
ap-951	758	33	3	3	NUM
ap-951	758	34	�	�	PROPN
ap-951	758	35	,	,	PUNCT
ap-951	758	36	where	where	SCONJ
ap-951	758	37	�	�	X
ap-951	758	38	�	�	PROPN
ap-951	758	39	2	2	NUM
ap-951	758	40	2	2	NUM
ap-951	758	41	�	�	NOUN
ap-951	758	42	x3	x3	ADJ
ap-951	758	43	.	.	PUNCT
ap-951	759	1	in	in	ADP
ap-951	759	2	terms	term	NOUN
ap-951	759	3	of	of	ADP
ap-951	759	4	the	the	DET
ap-951	759	5	tree	tree	NOUN
ap-951	759	6	-	-	PUNCT
ap-951	759	7	dimensional	dimensional	ADJ
ap-951	759	8	fields	field	NOUN
ap-951	759	9	©	©	PROPN
ap-951	759	10	czech	czech	PROPN
ap-951	759	11	technical	technical	PROPN
ap-951	759	12	university	university	PROPN
ap-951	759	13	publishing	publishing	NOUN
ap-951	759	14	house	house	NOUN
ap-951	759	15	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-951	759	16	19	19	NUM
ap-951	759	17	acta	acta	PROPN
ap-951	759	18	polytechnica	polytechnica	PROPN
ap-951	759	19	vol	vol	NOUN
ap-951	759	20	.	.	PUNCT
ap-951	759	21	48	48	NUM
ap-951	759	22	no	no	NOUN
ap-951	759	23	.	.	PUNCT
ap-951	760	1	2/2008	2/2008	PROPN
ap-951	760	2	and	and	CCONJ
ap-951	760	3	~	~	PROPN
ap-951	760	4	(	(	PUNCT
ap-951	760	5	(	(	PUNCT
ap-951	760	6	,	,	PUNCT
ap-951	760	7	~	~	NUM
ap-951	760	8	)	)	PUNCT
ap-951	760	9	a	a	DET
ap-951	760	10	�	�	PROPN
ap-951	760	11	a	a	DET
ap-951	760	12	a0	a0	PROPN
ap-951	760	13	,	,	PUNCT
ap-951	760	14	�	�	PROPN
ap-951	760	15	�	�	PROPN
ap-951	760	16	(	(	PUNCT
ap-951	760	17	,	,	PUNCT
ap-951	760	18	~	~	NUM
ap-951	760	19	)	)	PUNCT
ap-951	760	20	0	0	NUM
ap-951	761	1	0dx	0dx	NOUN
ap-951	761	2	,	,	PUNCT
ap-951	761	3	the	the	DET
ap-951	761	4	equations	equation	NOUN
ap-951	761	5	take	take	VERB
ap-951	761	6	the	the	DET
ap-951	761	7	form	form	NOUN
ap-951	761	8	[	[	X
ap-951	761	9	16	16	NUM
ap-951	761	10	]	]	PUNCT
ap-951	761	11	~	~	PUNCT
ap-951	761	12	~	~	PUNCT
ap-951	761	13	~	~	PUNCT
ap-951	761	14	(	(	PUNCT
ap-951	761	15	[	[	PUNCT
ap-951	761	16	,	,	PUNCT
ap-951	761	17	~	~	PROPN
ap-951	761	18	]	]	X
ap-951	761	19	)	)	PUNCT
ap-951	761	20	,	,	PUNCT
ap-951	761	21	~	~	PUNCT
ap-951	761	22	[	[	PUNCT
ap-951	761	23	,	,	PUNCT
ap-951	761	24	~	~	PROPN
ap-951	761	25	]	]	PUNCT
ap-951	761	26	,	,	PUNCT
ap-951	761	27	~	~	PUNCT
ap-951	761	28	[	[	PUNCT
ap-951	761	29	f	f	X
ap-951	761	30	d	d	X
ap-951	761	31	a	a	PROPN
ap-951	761	32	d	d	X
ap-951	761	33	da	da	PROPN
ap-951	761	34	d	d	PROPN
ap-951	761	35	a	a	DET
ap-951	761	36	�	�	PROPN
ap-951	761	37	�	�	PROPN
ap-951	761	38	�	�	PROPN
ap-951	761	39	3	3	NUM
ap-951	761	40	�	�	PROPN
ap-951	761	41	3	3	NUM
ap-951	761	42	�	�	PROPN
ap-951	761	43	3	3	NUM
ap-951	761	44	3	3	NUM
ap-951	761	45	0	0	NUM
ap-951	761	46	0	0	NUM
ap-951	761	47	0	0	NUM
ap-951	761	48	0	0	NUM
ap-951	761	49	0	0	NUM
ap-951	761	50	,	,	PUNCT
ap-951	761	51	]	]	PUNCT
ap-951	761	52	.	.	PUNCT
ap-951	761	53	0	0	NUM
ap-951	761	54	0	0	NUM
ap-951	761	55	�	�	PROPN
ap-951	761	56	(	(	PUNCT
ap-951	761	57	5.22	5.22	NUM
ap-951	761	58	)	)	PUNCT
ap-951	761	59	here	here	ADV
ap-951	761	60	the	the	DET
ap-951	761	61	hodge	hodge	PROPN
ap-951	761	62	operator3	operator3	PROPN
ap-951	761	63	is	be	AUX
ap-951	761	64	taken	take	VERB
ap-951	761	65	in	in	ADP
ap-951	761	66	the	the	DET
ap-951	761	67	three	three	NUM
ap-951	761	68	-	-	PUNCT
ap-951	761	69	dimensional	dimensional	ADJ
ap-951	761	70	sense	sense	NOUN
ap-951	761	71	.	.	PUNCT
ap-951	762	1	replace	replace	VERB
ap-951	762	2	the	the	DET
ap-951	762	3	coordinates	coordinate	NOUN
ap-951	762	4	x	x	PUNCT
ap-951	763	1	x	x	PUNCT
ap-951	763	2	x	x	SYM
ap-951	763	3	x	x	X
ap-951	763	4	�	�	PROPN
ap-951	763	5	(	(	PUNCT
ap-951	763	6	,	,	PUNCT
ap-951	763	7	,	,	PUNCT
ap-951	763	8	)	)	PUNCT
ap-951	763	9	1	1	NUM
ap-951	763	10	2	2	NUM
ap-951	763	11	3	3	NUM
ap-951	763	12	on	on	ADP
ap-951	763	13	x	x	PART
ap-951	763	14	y3	y3	PROPN
ap-951	763	15	�	�	PROPN
ap-951	763	16	and	and	CCONJ
ap-951	763	17	(	(	PUNCT
ap-951	763	18	,	,	PUNCT
ap-951	763	19	)	)	PUNCT
ap-951	763	20	(	(	PUNCT
ap-951	763	21	,	,	PUNCT
ap-951	763	22	)	)	PUNCT
ap-951	763	23	x	x	SYM
ap-951	763	24	x	x	PUNCT
ap-951	763	25	z	z	PROPN
ap-951	763	26	z2	z2	PROPN
ap-951	763	27	3	3	NUM
ap-951	763	28	�	�	PROPN
ap-951	763	29	,	,	PUNCT
ap-951	763	30	where	where	SCONJ
ap-951	763	31	(	(	PUNCT
ap-951	763	32	,	,	PUNCT
ap-951	763	33	)	)	PUNCT
ap-951	764	1	z	z	NOUN
ap-951	764	2	z	z	NOUN
ap-951	764	3	are	be	AUX
ap-951	764	4	local	local	ADJ
ap-951	764	5	coordinates	coordinate	NOUN
ap-951	764	6	on	on	ADP
ap-951	764	7	�	�	PROPN
ap-951	764	8	g.	g.	PROPN
ap-951	764	9	let	let	VERB
ap-951	764	10	g	g	PROPN
ap-951	764	11	z	z	PROPN
ap-951	764	12	z	z	PROPN
ap-951	764	13	dz	dz	PROPN
ap-951	764	14	(	(	PUNCT
ap-951	764	15	,	,	PUNCT
ap-951	764	16	)	)	PUNCT
ap-951	764	17	2	2	NUM
ap-951	764	18	be	be	AUX
ap-951	764	19	a	a	DET
ap-951	764	20	metric	metric	NOUN
ap-951	764	21	on	on	ADP
ap-951	764	22	�	�	PROPN
ap-951	764	23	g.	g.	NOUN
ap-951	764	24	the	the	DET
ap-951	764	25	metric	metric	NOUN
ap-951	764	26	on	on	ADP
ap-951	764	27	w	w	PROPN
ap-951	764	28	is	be	AUX
ap-951	764	29	ds	ds	PRON
ap-951	764	30	g	g	PROPN
ap-951	764	31	dz	dz	PROPN
ap-951	764	32	dy2	dy2	PROPN
ap-951	764	33	2	2	NUM
ap-951	764	34	2	2	NUM
ap-951	764	35	�	�	PROPN
ap-951	764	36	.	.	PUNCT
ap-951	765	1	then	then	ADV
ap-951	765	2	the	the	DET
ap-951	765	3	hodge	hodge	PROPN
ap-951	765	4	operator	operator	NOUN
ap-951	765	5	takes	take	VERB
ap-951	765	6	the	the	DET
ap-951	765	7	form	form	NOUN
ap-951	765	8	3	3	NUM
ap-951	765	9	�	�	PROPN
ap-951	765	10	�	�	PROPN
ap-951	765	11	3	3	NUM
ap-951	765	12	�	�	PROPN
ap-951	765	13	�	�	PROPN
ap-951	765	14	�	�	PROPN
ap-951	765	15	3	3	NUM
ap-951	765	16	�	�	PROPN
ap-951	765	17	�	�	PROPN
ap-951	765	18	dy	dy	NOUN
ap-951	765	19	ig	ig	PROPN
ap-951	765	20	dz	dz	PROPN
ap-951	765	21	dz	dz	PROPN
ap-951	765	22	dz	dz	PROPN
ap-951	765	23	idz	idz	PROPN
ap-951	765	24	dy	dy	X
ap-951	765	25	dz	dz	PROPN
ap-951	765	26	idz	idz	PROPN
ap-951	765	27	dy	dy	NOUN
ap-951	765	28	1	1	NUM
ap-951	765	29	2	2	NUM
ap-951	765	30	,	,	PUNCT
ap-951	765	31	,	,	PUNCT
ap-951	765	32	.	.	PUNCT
ap-951	766	1	it	it	PRON
ap-951	766	2	is	be	AUX
ap-951	766	3	argued	argue	VERB
ap-951	766	4	in	in	ADP
ap-951	766	5	[	[	X
ap-951	766	6	16	16	NUM
ap-951	766	7	]	]	PUNCT
ap-951	766	8	that	that	SCONJ
ap-951	766	9	y	y	PROPN
ap-951	766	10	�	�	PROPN
ap-951	766	11	0	0	PROPN
ap-951	766	12	and	and	CCONJ
ap-951	766	13	a0	a0	PROPN
ap-951	766	14	0	0	NUM
ap-951	766	15	�	�	PROPN
ap-951	766	16	are	be	AUX
ap-951	766	17	solutions	solution	NOUN
ap-951	766	18	of	of	ADP
ap-951	766	19	the	the	DET
ap-951	766	20	system	system	NOUN
ap-951	766	21	.	.	PUNCT
ap-951	767	1	then	then	ADV
ap-951	767	2	we	we	PRON
ap-951	767	3	come	come	VERB
ap-951	767	4	to	to	ADP
ap-951	767	5	the	the	DET
ap-951	767	6	equations	equation	NOUN
ap-951	767	7	(	(	PUNCT
ap-951	767	8	5.23	5.23	NUM
ap-951	767	9	)	)	PUNCT
ap-951	767	10	where	where	SCONJ
ap-951	767	11	as	as	ADP
ap-951	767	12	before	before	ADP
ap-951	767	13	z	z	PROPN
ap-951	767	14	zh	zh	PROPN
ap-951	767	15	h	h	PROPN
ap-951	767	16	�	�	PROPN
ap-951	767	17	�	�	PROPN
ap-951	767	18	�	�	PROPN
ap-951	767	19	1	1	NUM
ap-951	767	20	.	.	PUNCT
ap-951	768	1	the	the	DET
ap-951	768	2	system	system	NOUN
ap-951	768	3	is	be	AUX
ap-951	768	4	simplified	simplify	VERB
ap-951	768	5	in	in	ADP
ap-951	768	6	the	the	DET
ap-951	768	7	gauge	gauge	NOUN
ap-951	768	8	ay	ay	PROPN
ap-951	768	9	�	�	PROPN
ap-951	768	10	0	0	NUM
ap-951	768	11	.	.	PUNCT
ap-951	769	1	in	in	ADP
ap-951	769	2	particular	particular	ADJ
ap-951	769	3	,	,	PUNCT
ap-951	769	4	for	for	ADP
ap-951	769	5	0	0	NUM
ap-951	769	6	0	0	NUM
ap-951	769	7	�	�	PROPN
ap-951	769	8	the	the	DET
ap-951	769	9	system	system	NOUN
ap-951	769	10	(	(	PUNCT
ap-951	769	11	5.23	5.23	NUM
ap-951	769	12	)	)	PUNCT
ap-951	769	13	becomes	become	VERB
ap-951	769	14	essentially	essentially	ADV
ap-951	769	15	two	two	NUM
ap-951	769	16	-	-	PUNCT
ap-951	769	17	dimensional	dimensional	ADJ
ap-951	769	18	and	and	CCONJ
ap-951	769	19	coincides	coincide	VERB
ap-951	769	20	with	with	ADP
ap-951	769	21	the	the	DET
ap-951	769	22	hitchin	hitchin	PROPN
ap-951	769	23	equations	equation	NOUN
ap-951	769	24	(	(	PUNCT
ap-951	769	25	5.9	5.9	NUM
ap-951	769	26	)	)	PUNCT
ap-951	769	27	.	.	PUNCT
ap-951	770	1	let	let	VERB
ap-951	770	2	�	�	PRON
ap-951	770	3	g	g	NOUN
ap-951	770	4	be	be	AUX
ap-951	770	5	an	an	DET
ap-951	770	6	elliptic	elliptic	ADJ
ap-951	770	7	curve	curve	NOUN
ap-951	770	8	(	(	PUNCT
ap-951	770	9	)	)	PUNCT
ap-951	770	10	g	g	NOUN
ap-951	770	11	�	�	PROPN
ap-951	770	12	1	1	NUM
ap-951	770	13	.	.	PUNCT
ap-951	771	1	this	this	DET
ap-951	771	2	case	case	NOUN
ap-951	771	3	is	be	AUX
ap-951	771	4	important	important	ADJ
ap-951	771	5	for	for	ADP
ap-951	771	6	application	application	NOUN
ap-951	771	7	to	to	ADP
ap-951	771	8	integrable	integrable	ADJ
ap-951	771	9	systems	system	NOUN
ap-951	771	10	.	.	PUNCT
ap-951	772	1	the	the	DET
ap-951	772	2	nonlinear	nonlinear	ADJ
ap-951	772	3	system	system	NOUN
ap-951	772	4	(	(	PUNCT
ap-951	772	5	5.23	5.23	NUM
ap-951	772	6	)	)	PUNCT
ap-951	772	7	can	can	AUX
ap-951	772	8	be	be	AUX
ap-951	772	9	rewritten	rewrite	VERB
ap-951	772	10	as	as	ADP
ap-951	772	11	a	a	DET
ap-951	772	12	compatibility	compatibility	NOUN
ap-951	772	13	condition	condition	NOUN
ap-951	772	14	for	for	ADP
ap-951	772	15	the	the	DET
ap-951	772	16	linear	linear	ADJ
ap-951	772	17	system	system	NOUN
ap-951	772	18	depending	depend	VERB
ap-951	772	19	on	on	ADP
ap-951	772	20	the	the	DET
ap-951	772	21	spectral	spectral	ADJ
ap-951	772	22	parameter	parameter	PROPN
ap-951	772	23	�	�	PROPN
ap-951	772	24	�	�	PROPN
ap-951	772	25	�	�	PROPN
ap-951	772	26	(	(	PUNCT
ap-951	772	27	)	)	PUNCT
ap-951	772	28	,	,	PUNCT
ap-951	772	29	(	(	PUNCT
ap-951	772	30	�	�	PROPN
ap-951	772	31	�	�	PROPN
ap-951	772	32	�	�	PROPN
ap-951	772	33	�	�	PROPN
ap-951	772	34	�	�	PROPN
ap-951	772	35	�	�	PROPN
ap-951	772	36	�	�	PROPN
ap-951	772	37	�	�	PROPN
ap-951	772	38	�	�	PROPN
ap-951	772	39	�	�	PROPN
ap-951	772	40	z	z	PROPN
ap-951	772	41	y	y	PROPN
ap-951	772	42	z	z	PROPN
ap-951	773	1	z	z	NOUN
ap-951	774	1	z	z	NOUN
ap-951	775	1	y	y	PROPN
ap-951	775	2	z	z	PROPN
ap-951	775	3	z	z	NOUN
ap-951	776	1	a	a	DET
ap-951	776	2	a	a	PRON
ap-951	776	3	i	i	PRON
ap-951	777	1	i	i	PRON
ap-951	778	1	a	a	DET
ap-951	778	2	a	a	PRON
ap-951	778	3	a	a	DET
ap-951	778	4	i	i	PROPN
ap-951	778	5	�	�	PROPN
ap-951	778	6	�	�	PROPN
ap-951	778	7	�	�	PROPN
ap-951	778	8	�	�	PROPN
ap-951	778	9	1	1	NUM
ap-951	778	10	2	2	NUM
ap-951	778	11	1	1	NUM
ap-951	778	12	0	0	NUM
ap-951	778	13	2	2	NUM
ap-951	778	14	0	0	NUM
ap-951	778	15	�	�	PROPN
ap-951	778	16	�	�	PROPN
ap-951	778	17	�	�	PROPN
ap-951	778	18	�	�	PROPN
ap-951	778	19	%	%	NOUN
ap-951	778	20	�	�	NOUN
ap-951	778	21	%	%	NOUN
ap-951	778	22	i	i	PRON
ap-951	778	23	a	a	DET
ap-951	778	24	�	�	PROPN
ap-951	778	25	�	�	PROPN
ap-951	778	26	0	0	NUM
ap-951	778	27	0	0	NUM
ap-951	778	28	)	)	PUNCT
ap-951	778	29	here	here	ADV
ap-951	778	30	a2	a2	PROPN
ap-951	778	31	1	1	NUM
ap-951	778	32	�	�	PROPN
ap-951	778	33	�	�	PROPN
ap-951	778	34	�	�	PROPN
ap-951	778	35	�	�	PROPN
ap-951	778	36	.	.	PUNCT
ap-951	779	1	this	this	DET
ap-951	779	2	linear	linear	ADJ
ap-951	779	3	system	system	NOUN
ap-951	779	4	allows	allow	VERB
ap-951	779	5	to	to	PART
ap-951	779	6	apply	apply	VERB
ap-951	779	7	the	the	DET
ap-951	779	8	methods	method	NOUN
ap-951	779	9	of	of	ADP
ap-951	779	10	the	the	DET
ap-951	779	11	inverse	inverse	NOUN
ap-951	779	12	scattering	scattering	NOUN
ap-951	779	13	problem	problem	NOUN
ap-951	779	14	or	or	CCONJ
ap-951	779	15	the	the	DET
ap-951	779	16	whitham	whitham	NOUN
ap-951	779	17	approximation	approximation	NOUN
ap-951	779	18	to	to	PART
ap-951	779	19	find	find	VERB
ap-951	779	20	solutions	solution	NOUN
ap-951	779	21	of	of	ADP
ap-951	779	22	(	(	PUNCT
ap-951	779	23	5.23	5.23	NUM
ap-951	779	24	)	)	PUNCT
ap-951	779	25	.	.	PUNCT
ap-951	780	1	define	define	VERB
ap-951	780	2	the	the	DET
ap-951	780	3	complex	complex	ADJ
ap-951	780	4	connection	connection	NOUN
ap-951	780	5	�	�	PROPN
ap-951	780	6	z	z	PROPN
ap-951	780	7	z	z	PROPN
ap-951	780	8	za	za	PROPN
ap-951	781	1	i	i	PRON
ap-951	781	2	�	�	PROPN
ap-951	781	3	.	.	PUNCT
ap-951	782	1	in	in	ADP
ap-951	782	2	terms	term	NOUN
ap-951	782	3	of	of	ADP
ap-951	782	4	(	(	PUNCT
ap-951	782	5	,	,	PUNCT
ap-951	782	6	,	,	PUNCT
ap-951	782	7	)	)	PUNCT
ap-951	782	8	�	�	PROPN
ap-951	782	9	�	�	PROPN
ap-951	782	10	z	z	PROPN
ap-951	782	11	z	z	NOUN
ap-951	782	12	ya	ya	PRON
ap-951	782	13	the	the	DET
ap-951	782	14	systems	system	NOUN
ap-951	782	15	(	(	PUNCT
ap-951	782	16	5.23	5.23	NUM
ap-951	782	17	)	)	PUNCT
ap-951	782	18	assumes	assume	VERB
ap-951	782	19	the	the	DET
ap-951	782	20	form	form	NOUN
ap-951	782	21	of	of	ADP
ap-951	782	22	the	the	DET
ap-951	782	23	bogomolny	bogomolny	ADJ
ap-951	782	24	equation	equation	NOUN
ap-951	782	25	f	f	PROPN
ap-951	782	26	d	d	PROPN
ap-951	782	27	�	�	PROPN
ap-951	782	28	3	3	NUM
ap-951	782	29	0	0	NUM
ap-951	782	30	.	.	PUNCT
ap-951	783	1	(	(	PUNCT
ap-951	783	2	5.24	5.24	NUM
ap-951	783	3	)	)	PUNCT
ap-951	783	4	consider	consider	VERB
ap-951	783	5	a	a	DET
ap-951	783	6	monopole	monopole	ADJ
ap-951	783	7	solution	solution	NOUN
ap-951	783	8	of	of	ADP
ap-951	783	9	this	this	DET
ap-951	783	10	equation	equation	NOUN
ap-951	783	11	.	.	PUNCT
ap-951	784	1	let	let	VERB
ap-951	784	2	~	~	PUNCT
ap-951	784	3	(	(	PUNCT
ap-951	784	4	\	\	X
ap-951	784	5	(	(	PUNCT
ap-951	784	6	,	,	PUNCT
ap-951	784	7	)	)	PUNCT
ap-951	784	8	)	)	PUNCT
ap-951	785	1	w	w	PROPN
ap-951	785	2	w	w	PROPN
ap-951	785	3	x	x	SYM
ap-951	785	4	y	y	PROPN
ap-951	785	5	z	z	PROPN
ap-951	785	6	z	z	PROPN
ap-951	785	7	�	�	PROPN
ap-951	785	8	�	�	PROPN
ap-951	785	9	�	�	PROPN
ap-951	785	10	�	�	PROPN
ap-951	785	11	0	0	NUM
ap-951	785	12	00	00	NUM
ap-951	785	13	.	.	PUNCT
ap-951	786	1	the	the	DET
ap-951	786	2	bianchi	bianchi	NOUN
ap-951	786	3	identity	identity	NOUN
ap-951	786	4	df	df	PROPN
ap-951	786	5	�	�	PROPN
ap-951	786	6	0	0	NUM
ap-951	786	7	in	in	ADP
ap-951	786	8	the	the	DET
ap-951	786	9	space	space	NOUN
ap-951	786	10	~w	~w	PUNCT
ap-951	786	11	implies	imply	VERB
ap-951	786	12	that	that	SCONJ
ap-951	786	13	0	0	NUM
ap-951	786	14	is	be	AUX
ap-951	786	15	the	the	DET
ap-951	786	16	green	green	ADJ
ap-951	786	17	function	function	NOUN
ap-951	786	18	for	for	ADP
ap-951	786	19	the	the	DET
ap-951	786	20	operator	operator	NOUN
ap-951	786	21	3	3	NUM
ap-951	786	22	3d	3d	NUM
ap-951	786	23	3	3	NUM
ap-951	786	24	3	3	NUM
ap-951	786	25	�	�	PROPN
ap-951	786	26	�	�	PROPN
ap-951	786	27	d	d	PROPN
ap-951	786	28	d	d	NOUN
ap-951	786	29	m	m	NOUN
ap-951	786	30	x	x	X
ap-951	786	31	x	x	SYM
ap-951	786	32	0	0	NUM
ap-951	786	33	0	0	NUM
ap-951	786	34	�	�	PROPN
ap-951	786	35	(	(	PUNCT
ap-951	786	36	)	)	PUNCT
ap-951	786	37	,	,	PUNCT
ap-951	786	38	where	where	SCONJ
ap-951	786	39	m	m	PROPN
ap-951	786	40	n	n	PRON
ap-951	786	41	�	�	PROPN
ap-951	786	42	gl	gl	PROPN
ap-951	786	43	(	(	PUNCT
ap-951	786	44	,	,	PUNCT
ap-951	786	45	)	)	PUNCT
ap-951	786	46	�	�	PROPN
ap-951	786	47	.	.	PUNCT
ap-951	787	1	consider	consider	VERB
ap-951	787	2	first	first	ADV
ap-951	787	3	the	the	DET
ap-951	787	4	abelian	abelian	ADJ
ap-951	787	5	case	case	NOUN
ap-951	787	6	g	g	PROPN
ap-951	787	7	�	�	PROPN
ap-951	787	8	u	u	PROPN
ap-951	787	9	(	(	PUNCT
ap-951	787	10	)	)	PUNCT
ap-951	787	11	1	1	X
ap-951	787	12	.	.	PUNCT
ap-951	788	1	then	then	ADV
ap-951	788	2	f	f	PROPN
ap-951	788	3	a	a	DET
ap-951	788	4	az	az	PROPN
ap-951	788	5	z	z	PROPN
ap-951	788	6	(	(	PUNCT
ap-951	788	7	,	,	PUNCT
ap-951	788	8	)	)	PUNCT
ap-951	788	9	is	be	AUX
ap-951	788	10	a	a	DET
ap-951	788	11	curvature	curvature	NOUN
ap-951	788	12	of	of	ADP
ap-951	788	13	a	a	DET
ap-951	788	14	line	line	NOUN
ap-951	788	15	bundle	bundle	NOUN
ap-951	788	16	�	�	PROPN
ap-951	788	17	.	.	PUNCT
ap-951	789	1	locally	locally	ADV
ap-951	789	2	near	near	ADP
ap-951	789	3	x	x	X
ap-951	789	4	y	y	PROPN
ap-951	789	5	z	z	PROPN
ap-951	789	6	z	z	NOUN
ap-951	789	7	z	z	NOUN
ap-951	789	8	z0	z0	PROPN
ap-951	789	9	0	0	NUM
ap-951	789	10	00	00	NUM
ap-951	789	11	�	�	PROPN
ap-951	789	12	�	�	PROPN
ap-951	789	13	�	�	PROPN
ap-951	789	14	�	�	PROPN
ap-951	789	15	(	(	PUNCT
ap-951	789	16	,	,	PUNCT
ap-951	789	17	,	,	PUNCT
ap-951	789	18	)	)	PUNCT
ap-951	789	19	0	0	PUNCT
ap-951	789	20	has	have	VERB
ap-951	789	21	a	a	DET
ap-951	789	22	singularity	singularity	NOUN
ap-951	789	23	0	0	NUM
ap-951	789	24	02	02	NUM
ap-951	789	25	~	~	PUNCT
ap-951	790	1	i	i	PRON
ap-951	790	2	m	m	VERB
ap-951	790	3	x	x	VERB
ap-951	790	4	x	x	SYM
ap-951	790	5	�	�	PROPN
ap-951	790	6	,	,	PUNCT
ap-951	790	7	(	(	PUNCT
ap-951	790	8	5.25	5.25	NUM
ap-951	790	9	)	)	PUNCT
ap-951	790	10	where	where	SCONJ
ap-951	790	11	m	m	NOUN
ap-951	790	12	is	be	AUX
ap-951	790	13	a	a	DET
ap-951	790	14	magnetic	magnetic	ADJ
ap-951	790	15	charge	charge	NOUN
ap-951	790	16	.	.	PUNCT
ap-951	791	1	due	due	ADP
ap-951	791	2	to	to	ADP
ap-951	791	3	1	1	NUM
ap-951	791	4	.	.	PUNCT
ap-951	792	1	in	in	ADP
ap-951	792	2	(	(	PUNCT
ap-951	792	3	5.23	5.23	NUM
ap-951	792	4	)	)	PUNCT
ap-951	792	5	,	,	PUNCT
ap-951	792	6	f	f	PROPN
ap-951	792	7	takes	take	VERB
ap-951	792	8	the	the	DET
ap-951	792	9	form	form	NOUN
ap-951	792	10	f	f	PROPN
ap-951	792	11	a	a	DET
ap-951	792	12	a	a	DET
ap-951	792	13	gz	gz	PROPN
ap-951	792	14	z	z	PROPN
ap-951	792	15	y	y	PROPN
ap-951	792	16	(	(	PUNCT
ap-951	792	17	,	,	PUNCT
ap-951	792	18	)	)	PUNCT
ap-951	792	19	�	�	PROPN
ap-951	792	20	1	1	NUM
ap-951	792	21	2	2	NUM
ap-951	792	22	0	0	NUM
ap-951	792	23	�	�	PROPN
ap-951	792	24	,	,	PUNCT
ap-951	792	25	f	f	PROPN
ap-951	793	1	a	a	PRON
ap-951	793	2	a	a	DET
ap-951	793	3	mg	mg	PROPN
ap-951	793	4	z	z	PROPN
ap-951	793	5	z	z	NOUN
ap-951	794	1	y	y	NOUN
ap-951	794	2	x	x	PUNCT
ap-951	794	3	x	x	X
ap-951	794	4	z	z	NOUN
ap-951	794	5	z	z	PROPN
ap-951	794	6	(	(	PUNCT
ap-951	794	7	,	,	PUNCT
ap-951	794	8	)	)	PUNCT
ap-951	794	9	~	~	PUNCT
ap-951	794	10	(	(	PUNCT
ap-951	794	11	,	,	PUNCT
ap-951	794	12	)	)	PUNCT
ap-951	794	13	1	1	NUM
ap-951	794	14	2	2	NUM
ap-951	794	15	0	0	NUM
ap-951	794	16	3	3	NUM
ap-951	794	17	2	2	NUM
ap-951	794	18	�	�	PROPN
ap-951	794	19	.	.	PUNCT
ap-951	795	1	consider	consider	VERB
ap-951	795	2	a	a	DET
ap-951	795	3	small	small	ADJ
ap-951	795	4	sphere	sphere	NOUN
ap-951	795	5	s2	s2	NOUN
ap-951	795	6	enclosing	enclose	VERB
ap-951	795	7	x0	x0	PROPN
ap-951	795	8	.	.	PUNCT
ap-951	796	1	due	due	ADP
ap-951	796	2	to	to	ADP
ap-951	796	3	(	(	PUNCT
ap-951	796	4	5.24	5.24	NUM
ap-951	796	5	)	)	PUNCT
ap-951	796	6	and	and	CCONJ
ap-951	796	7	(	(	PUNCT
ap-951	796	8	5.25	5.25	NUM
ap-951	796	9	)	)	PUNCT
ap-951	796	10	f	f	PROPN
ap-951	796	11	m	m	VERB
ap-951	796	12	s	s	PROPN
ap-951	796	13	2	2	NUM
ap-951	796	14	�	�	PROPN
ap-951	796	15	�	�	PROPN
ap-951	796	16	.	.	PUNCT
ap-951	797	1	this	this	DET
ap-951	797	2	solution	solution	NOUN
ap-951	797	3	describes	describe	VERB
ap-951	797	4	the	the	DET
ap-951	797	5	dirac	dirac	NOUN
ap-951	797	6	monopole	monopole	NOUN
ap-951	797	7	of	of	ADP
ap-951	797	8	charge	charge	NOUN
ap-951	797	9	m	m	AUX
ap-951	797	10	corresponding	correspond	VERB
ap-951	797	11	to	to	ADP
ap-951	797	12	a	a	DET
ap-951	797	13	line	line	NOUN
ap-951	797	14	bundle	bundle	NOUN
ap-951	797	15	over	over	ADP
ap-951	797	16	s2	s2	PROPN
ap-951	797	17	of	of	ADP
ap-951	797	18	degree	degree	NOUN
ap-951	797	19	m.	m.	NOUN
ap-951	797	20	let	let	VERB
ap-951	797	21	�	�	PROPN
ap-951	797	22	�	�	PROPN
ap-951	797	23	g	g	PROPN
ap-951	797	24	g	g	PROPN
ap-951	797	25	)	)	PUNCT
ap-951	797	26	�	�	PROPN
ap-951	797	27	)	)	PUNCT
ap-951	797	28	�	�	PROPN
ap-951	797	29	(	(	PUNCT
ap-951	797	30	)	)	PUNCT
ap-951	797	31	and	and	CCONJ
ap-951	797	32	�	�	NOUN
ap-951	797	33	)	)	PUNCT
ap-951	797	34	be	be	VERB
ap-951	797	35	the	the	DET
ap-951	797	36	line	line	NOUN
ap-951	797	37	bundles	bundle	NOUN
ap-951	797	38	over	over	ADP
ap-951	797	39	�	�	PROPN
ap-951	797	40	g	g	PROPN
ap-951	797	41	)	)	PUNCT
ap-951	797	42	.	.	PUNCT
ap-951	798	1	the	the	DET
ap-951	798	2	two	two	NUM
ap-951	798	3	-	-	PUNCT
ap-951	798	4	dimensional	dimensional	ADJ
ap-951	798	5	cycle	cycle	NOUN
ap-951	798	6	c	c	NOUN
ap-951	798	7	describing	describe	VERB
ap-951	798	8	the	the	DET
ap-951	798	9	boundary	boundary	ADJ
ap-951	798	10	c	c	PROPN
ap-951	798	11	w	w	PROPN
ap-951	798	12	i	i	PROPN
ap-951	798	13	xg	xg	PROPN
ap-951	798	14	�	�	PROPN
ap-951	798	15	�	�	PROPN
ap-951	798	16	�	�	PROPN
ap-951	798	17	(	(	PUNCT
ap-951	798	18	(	(	PUNCT
ap-951	798	19	)	)	PUNCT
ap-951	798	20	\	\	NOUN
ap-951	798	21	)	)	PUNCT
ap-951	798	22	�	�	PROPN
ap-951	798	23	0	0	NUM
ap-951	798	24	is	be	AUX
ap-951	798	25	�	�	PROPN
ap-951	798	26	�	�	PROPN
ap-951	798	27	g	g	PROPN
ap-951	798	28	g	g	PROPN
ap-951	798	29	s	s	PROPN
ap-951	798	30	�	�	PROPN
ap-951	798	31	�	�	PROPN
ap-951	798	32	�	�	PROPN
ap-951	798	33	2	2	NUM
ap-951	798	34	.	.	PUNCT
ap-951	799	1	taking	take	VERB
ap-951	799	2	the	the	DET
ap-951	799	3	integral	integral	ADJ
ap-951	799	4	over	over	ADP
ap-951	799	5	c	c	NOUN
ap-951	799	6	we	we	PRON
ap-951	799	7	find	find	VERB
ap-951	799	8	that	that	SCONJ
ap-951	799	9	f	f	PROPN
ap-951	799	10	c	c	PROPN
ap-951	799	11	�	�	PROPN
ap-951	799	12	�	�	PROPN
ap-951	799	13	0	0	NUM
ap-951	799	14	.	.	PUNCT
ap-951	800	1	in	in	ADP
ap-951	800	2	other	other	ADJ
ap-951	800	3	words	word	NOUN
ap-951	800	4	,	,	PUNCT
ap-951	800	5	for	for	ADP
ap-951	800	6	the	the	DET
ap-951	800	7	chern	chern	PROPN
ap-951	800	8	classes	class	NOUN
ap-951	800	9	of	of	ADP
ap-951	800	10	the	the	DET
ap-951	800	11	bundles	bundle	NOUN
ap-951	800	12	c	c	NOUN
ap-951	800	13	(	(	PUNCT
ap-951	800	14	)	)	PUNCT
ap-951	800	15	deg	deg	PROPN
ap-951	800	16	(	(	PUNCT
ap-951	800	17	)	)	PUNCT
ap-951	800	18	�	�	PROPN
ap-951	800	19	�	�	PROPN
ap-951	800	20	�	�	PROPN
ap-951	800	21	we	we	PRON
ap-951	800	22	have	have	AUX
ap-951	800	23	deg	deg	VERB
ap-951	800	24	(	(	PUNCT
ap-951	800	25	)	)	PUNCT
ap-951	800	26	deg	deg	PROPN
ap-951	800	27	(	(	PUNCT
ap-951	800	28	)	)	PUNCT
ap-951	800	29	�	�	PROPN
ap-951	800	30	�	�	PROPN
ap-951	800	31	�	�	PROPN
ap-951	800	32	�	�	PROPN
ap-951	800	33	m	m	PROPN
ap-951	800	34	,	,	PUNCT
ap-951	800	35	or	or	CCONJ
ap-951	800	36	�	�	PROPN
ap-951	800	37	�	�	PROPN
ap-951	800	38	"	"	PUNCT
ap-951	800	39	�	�	PROPN
ap-951	800	40	(	(	PUNCT
ap-951	800	41	)	)	PUNCT
ap-951	800	42	z	z	NOUN
ap-951	800	43	m	m	NOUN
ap-951	800	44	0	0	NUM
ap-951	800	45	.	.	PUNCT
ap-951	801	1	here	here	ADV
ap-951	801	2	(	(	PUNCT
ap-951	801	3	)	)	PUNCT
ap-951	801	4	z	z	X
ap-951	801	5	m	m	VERB
ap-951	801	6	0	0	NUM
ap-951	801	7	is	be	AUX
ap-951	801	8	a	a	DET
ap-951	801	9	line	line	NOUN
ap-951	801	10	bundle	bundle	NOUN
ap-951	801	11	whose	whose	DET
ap-951	801	12	holomorphic	holomorphic	ADJ
ap-951	801	13	sections	section	NOUN
ap-951	801	14	are	be	AUX
ap-951	801	15	holomorphic	holomorphic	ADJ
ap-951	801	16	functions	function	NOUN
ap-951	801	17	away	away	ADV
ap-951	801	18	from	from	ADP
ap-951	801	19	z0	z0	PROPN
ap-951	801	20	with	with	ADP
ap-951	801	21	a	a	DET
ap-951	801	22	possible	possible	ADJ
ap-951	801	23	single	single	ADJ
ap-951	801	24	pole	pole	NOUN
ap-951	801	25	of	of	ADP
ap-951	801	26	degree	degree	NOUN
ap-951	801	27	m	m	NOUN
ap-951	801	28	at	at	ADP
ap-951	801	29	z0	z0	PROPN
ap-951	801	30	.	.	PUNCT
ap-951	802	1	the	the	DET
ap-951	802	2	line	line	NOUN
ap-951	802	3	bundles	bundle	NOUN
ap-951	802	4	over	over	ADP
ap-951	802	5	�	�	PROPN
ap-951	802	6	g	g	NOUN
ap-951	802	7	are	be	AUX
ap-951	802	8	topologically	topologically	ADV
ap-951	802	9	equivalent	equivalent	ADJ
ap-951	802	10	for	for	ADP
ap-951	802	11	y	y	PROPN
ap-951	802	12	'	'	NUM
ap-951	802	13	0	0	NUM
ap-951	802	14	or	or	CCONJ
ap-951	802	15	y	y	PROPN
ap-951	802	16	�	�	PROPN
ap-951	802	17	0	0	NUM
ap-951	802	18	.	.	PUNCT
ap-951	803	1	the	the	DET
ap-951	803	2	gauge	gauge	ADJ
ap-951	803	3	transformation	transformation	NOUN
ap-951	803	4	0	0	NUM
ap-951	803	5	is	be	AUX
ap-951	803	6	smooth	smooth	ADJ
ap-951	803	7	away	away	ADV
ap-951	803	8	from	from	ADP
ap-951	803	9	x0	x0	PROPN
ap-951	803	10	.	.	PUNCT
ap-951	804	1	the	the	DET
ap-951	804	2	singularity	singularity	NOUN
ap-951	804	3	change	change	VERB
ap-951	804	4	the	the	DET
ap-951	804	5	degree	degree	NOUN
ap-951	804	6	of	of	ADP
ap-951	804	7	the	the	DET
ap-951	804	8	bundle	bundle	NOUN
ap-951	804	9	.	.	PUNCT
ap-951	805	1	20	20	NUM
ap-951	806	1	©	©	PROPN
ap-951	806	2	czech	czech	PROPN
ap-951	806	3	technical	technical	PROPN
ap-951	806	4	university	university	PROPN
ap-951	806	5	publishing	publishing	NOUN
ap-951	806	6	house	house	NOUN
ap-951	806	7	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-951	806	8	acta	acta	PROPN
ap-951	806	9	polytechnica	polytechnica	PROPN
ap-951	806	10	vol	vol	NOUN
ap-951	806	11	.	.	PUNCT
ap-951	807	1	48	48	NUM
ap-951	807	2	no	no	NOUN
ap-951	807	3	.	.	PUNCT
ap-951	808	1	2/2008	2/2008	NOUN
ap-951	808	2	1	1	NUM
ap-951	808	3	.	.	PUNCT
ap-951	809	1	f	f	PROPN
ap-951	809	2	a	a	DET
ap-951	809	3	a	a	DET
ap-951	809	4	igdz	igdz	NOUN
ap-951	809	5	z	z	PROPN
ap-951	809	6	z	z	PROPN
ap-951	809	7	z	z	NOUN
ap-951	809	8	ay	ay	PROPN
ap-951	809	9	(	(	PUNCT
ap-951	809	10	,	,	PUNCT
ap-951	809	11	)	)	PUNCT
ap-951	809	12	[	[	PUNCT
ap-951	809	13	,	,	PUNCT
ap-951	809	14	]	]	PUNCT
ap-951	809	15	�	�	PROPN
ap-951	809	16	�	�	PROPN
ap-951	809	17	1	1	NUM
ap-951	809	18	2	2	NUM
ap-951	809	19	0	0	NUM
ap-951	809	20	,	,	PUNCT
ap-951	809	21	2	2	NUM
ap-951	809	22	.	.	PUNCT
ap-951	809	23	daz	daz	PROPN
ap-951	809	24	z	z	PROPN
ap-951	809	25	�	�	PROPN
ap-951	809	26	0	0	NUM
ap-951	809	27	,	,	PUNCT
ap-951	809	28	3	3	NUM
ap-951	809	29	.	.	PUNCT
ap-951	809	30	f	f	PROPN
ap-951	810	1	a	a	DET
ap-951	810	2	a	a	DET
ap-951	810	3	idy	idy	PROPN
ap-951	810	4	z	z	PROPN
ap-951	810	5	az	az	PROPN
ap-951	810	6	(	(	PUNCT
ap-951	810	7	,	,	PUNCT
ap-951	810	8	)	)	PUNCT
ap-951	810	9	,	,	PUNCT
ap-951	810	10	�	�	PROPN
ap-951	810	11	0	0	NUM
ap-951	810	12	4	4	NUM
ap-951	810	13	.	.	PUNCT
ap-951	811	1	d	d	PROPN
ap-951	811	2	ia	ia	PROPN
ap-951	811	3	z	z	PROPN
ap-951	811	4	zy	zy	PROPN
ap-951	811	5	�	�	PROPN
ap-951	811	6	�	�	PROPN
ap-951	811	7	[	[	PUNCT
ap-951	811	8	,	,	PUNCT
ap-951	811	9	]	]	PUNCT
ap-951	811	10	.0	.0	NUM
ap-951	811	11	fig	fig	NOUN
ap-951	811	12	.	.	PUNCT
ap-951	812	1	3	3	NUM
ap-951	812	2	:	:	PUNCT
ap-951	812	3	monopole	monopole	NOUN
ap-951	812	4	,	,	PUNCT
ap-951	812	5	located	locate	VERB
ap-951	812	6	at	at	ADP
ap-951	812	7	y0	y0	PROPN
ap-951	812	8	changes	change	VERB
ap-951	812	9	the	the	DET
ap-951	812	10	chern	chern	PROPN
ap-951	812	11	class	class	PROPN
ap-951	812	12	the	the	DET
ap-951	812	13	monopole	monopole	NOUN
ap-951	812	14	increase	increase	NOUN
ap-951	812	15	the	the	DET
ap-951	812	16	chern	chern	PROPN
ap-951	812	17	class	class	NOUN
ap-951	812	18	:	:	PUNCT
ap-951	812	19	c	c	PROPN
ap-951	812	20	c	c	PROPN
ap-951	812	21	m1	m1	PROPN
ap-951	812	22	1	1	NUM
ap-951	812	23	�	�	PROPN
ap-951	812	24	.	.	PUNCT
ap-951	813	1	in	in	ADP
ap-951	813	2	four	four	NUM
ap-951	813	3	-	-	PUNCT
ap-951	813	4	dimensional	dimensional	ADJ
ap-951	813	5	abelian	abelian	ADJ
ap-951	813	6	theory	theory	NOUN
ap-951	813	7	we	we	PRON
ap-951	813	8	have	have	VERB
ap-951	813	9	the	the	DET
ap-951	813	10	dirac	dirac	NOUN
ap-951	813	11	monopole	monopole	NOUN
ap-951	813	12	singular	singular	NOUN
ap-951	813	13	along	along	ADP
ap-951	813	14	the	the	DET
ap-951	813	15	time	time	NOUN
ap-951	813	16	-	-	PUNCT
ap-951	813	17	like	like	ADJ
ap-951	813	18	line	line	NOUN
ap-951	813	19	l	l	NOUN
ap-951	814	1	x	x	PUNCT
ap-951	814	2	x	x	X
ap-951	814	3	�	�	PROPN
ap-951	814	4	(	(	PUNCT
ap-951	814	5	,	,	PUNCT
ap-951	814	6	)	)	PUNCT
ap-951	814	7	0	0	NUM
ap-951	814	8	0	0	NUM
ap-951	814	9	.	.	PUNCT
ap-951	815	1	this	this	PRON
ap-951	815	2	corresponds	correspond	VERB
ap-951	815	3	to	to	ADP
ap-951	815	4	including	include	VERB
ap-951	815	5	the	the	DET
ap-951	815	6	t’hooft	t’hooft	NOUN
ap-951	815	7	operator	operator	NOUN
ap-951	815	8	in	in	ADP
ap-951	815	9	the	the	DET
ap-951	815	10	theory	theory	NOUN
ap-951	815	11	saying	say	VERB
ap-951	815	12	that	that	SCONJ
ap-951	815	13	the	the	DET
ap-951	815	14	connections	connection	NOUN
ap-951	815	15	have	have	VERB
ap-951	815	16	monopole	monopole	NOUN
ap-951	815	17	singularity	singularity	NOUN
ap-951	815	18	along	along	ADP
ap-951	815	19	the	the	DET
ap-951	815	20	line	line	NOUN
ap-951	815	21	l.	l.	PROPN
ap-951	815	22	a	a	DET
ap-951	815	23	generic	generic	ADJ
ap-951	815	24	vector	vector	NOUN
ap-951	815	25	bundles	bundle	NOUN
ap-951	815	26	e	e	NOUN
ap-951	815	27	near	near	ADP
ap-951	815	28	x0	x0	PROPN
ap-951	815	29	splits	split	VERB
ap-951	815	30	ey	ey	PRON
ap-951	815	31	n~	n~	PROPN
ap-951	815	32	�	�	PROPN
ap-951	815	33	�	�	PROPN
ap-951	815	34	�	�	PROPN
ap-951	815	35	1	1	NUM
ap-951	815	36	2	2	NUM
ap-951	815	37	�	�	PROPN
ap-951	815	38	�	�	PROPN
ap-951	815	39	�	�	PROPN
ap-951	815	40	�	�	PROPN
ap-951	815	41	.	.	PUNCT
ap-951	816	1	consider	consider	VERB
ap-951	816	2	the	the	DET
ap-951	816	3	gauge	gauge	ADJ
ap-951	816	4	transformation	transformation	NOUN
ap-951	816	5	0	0	NUM
ap-951	816	6	0	0	NUM
ap-951	816	7	1	1	NUM
ap-951	816	8	2	2	NUM
ap-951	816	9	~	~	PUNCT
ap-951	816	10	(	(	PUNCT
ap-951	816	11	,	,	PUNCT
ap-951	816	12	,	,	PUNCT
ap-951	816	13	)	)	PUNCT
ap-951	817	1	i	i	PRON
ap-951	817	2	x	x	X
ap-951	818	1	x	x	VERB
ap-951	818	2	m	m	VERB
ap-951	818	3	mn	mn	PROPN
ap-951	818	4	�	�	PROPN
ap-951	818	5	�	�	PROPN
ap-951	818	6	diag	diag	PROPN
ap-951	818	7	.	.	PUNCT
ap-951	819	1	(	(	PUNCT
ap-951	819	2	5.26	5.26	NUM
ap-951	819	3	)	)	PUNCT
ap-951	819	4	this	this	PRON
ap-951	819	5	causes	cause	VERB
ap-951	819	6	the	the	DET
ap-951	819	7	transformation	transformation	NOUN
ap-951	819	8	�	�	PROPN
ap-951	819	9	�	�	PROPN
ap-951	820	1	j	j	PROPN
ap-951	820	2	j	j	PROPN
ap-951	820	3	mz	mz	PROPN
ap-951	820	4	j	j	PROPN
ap-951	820	5	�	�	PROPN
ap-951	820	6	"	"	PUNCT
ap-951	820	7	(	(	PUNCT
ap-951	820	8	)	)	PUNCT
ap-951	820	9	0	0	NUM
ap-951	820	10	.	.	PUNCT
ap-951	821	1	the	the	DET
ap-951	821	2	degree	degree	NOUN
ap-951	821	3	of	of	ADP
ap-951	821	4	the	the	DET
ap-951	821	5	bundles	bundle	NOUN
ap-951	821	6	e	e	NOUN
ap-951	821	7	changes	change	NOUN
ap-951	821	8	after	after	ADP
ap-951	821	9	crossing	cross	VERB
ap-951	821	10	y	y	PROPN
ap-951	821	11	�	�	PROPN
ap-951	821	12	0	0	NUM
ap-951	821	13	by	by	ADP
ap-951	821	14	m	m	PROPN
ap-951	821	15	j	j	PROPN
ap-951	821	16	�	�	PROPN
ap-951	821	17	,	,	PUNCT
ap-951	821	18	as	as	SCONJ
ap-951	821	19	it	it	PRON
ap-951	821	20	was	be	AUX
ap-951	821	21	described	describe	VERB
ap-951	821	22	for	for	ADP
ap-951	821	23	bundles	bundle	NOUN
ap-951	821	24	over	over	ADP
ap-951	821	25	�	�	PROPN
ap-951	821	26	in	in	ADP
ap-951	821	27	section	section	NOUN
ap-951	821	28	4.4	4.4	NUM
ap-951	821	29	.	.	PUNCT
ap-951	822	1	to	to	PART
ap-951	822	2	be	be	AUX
ap-951	822	3	more	more	ADV
ap-951	822	4	precise	precise	ADJ
ap-951	822	5	we	we	PRON
ap-951	822	6	specify	specify	VERB
ap-951	822	7	the	the	DET
ap-951	822	8	boundary	boundary	ADJ
ap-951	822	9	conditions	condition	NOUN
ap-951	822	10	of	of	ADP
ap-951	822	11	solutions	solution	NOUN
ap-951	822	12	on	on	ADP
ap-951	822	13	the	the	DET
ap-951	822	14	ends	end	NOUN
ap-951	822	15	y	y	PROPN
ap-951	822	16	�	�	PROPN
ap-951	822	17	�	�	PROPN
ap-951	822	18	�	�	PROPN
ap-951	822	19	and	and	CCONJ
ap-951	822	20	y	y	PROPN
ap-951	822	21	�	�	PROPN
ap-951	822	22	�	�	PROPN
ap-951	822	23	.	.	PUNCT
ap-951	823	1	since	since	SCONJ
ap-951	823	2	0	0	NUM
ap-951	823	3	0	0	NUM
ap-951	823	4	�	�	PROPN
ap-951	823	5	for	for	ADP
ap-951	823	6	y	y	PROPN
ap-951	823	7	�	�	PROPN
ap-951	823	8	)	)	PUNCT
ap-951	823	9	�	�	PROPN
ap-951	823	10	system	system	NOUN
ap-951	823	11	(	(	PUNCT
ap-951	823	12	5.23	5.23	NUM
ap-951	823	13	)	)	PUNCT
ap-951	823	14	coincides	coincide	VERB
ap-951	823	15	with	with	ADP
ap-951	823	16	the	the	DET
ap-951	823	17	hitchin	hitchin	NOUN
ap-951	823	18	system	system	NOUN
ap-951	823	19	(	(	PUNCT
ap-951	823	20	5.9	5.9	NUM
ap-951	823	21	)	)	PUNCT
ap-951	823	22	.	.	PUNCT
ap-951	824	1	if	if	SCONJ
ap-951	824	2	�	�	PROPN
ap-951	824	3	h	h	NOUN
ap-951	824	4	n	n	CCONJ
ap-951	824	5	g	g	PROPN
ap-951	824	6	n	n	VERB
ap-951	824	7	m	m	PROPN
ap-951	824	8	(	(	PUNCT
ap-951	824	9	,	,	PUNCT
ap-951	824	10	,	,	PUNCT
ap-951	824	11	,	,	PUNCT
ap-951	824	12	)	)	PUNCT
ap-951	824	13	)	)	PUNCT
ap-951	824	14	is	be	AUX
ap-951	824	15	the	the	DET
ap-951	824	16	moduli	moduli	ADJ
ap-951	824	17	space	space	NOUN
ap-951	824	18	of	of	ADP
ap-951	824	19	solutions	solution	NOUN
ap-951	824	20	on	on	ADP
ap-951	824	21	the	the	DET
ap-951	824	22	boundaries	boundary	NOUN
ap-951	824	23	y	y	PROPN
ap-951	824	24	�	�	PROPN
ap-951	824	25	)	)	PUNCT
ap-951	824	26	�	�	PROPN
ap-951	824	27	the	the	DET
ap-951	824	28	gauge	gauge	ADJ
ap-951	824	29	transformation	transformation	NOUN
ap-951	824	30	with	with	ADP
ap-951	824	31	the	the	DET
ap-951	824	32	monopole	monopole	ADJ
ap-951	824	33	singularity	singularity	NOUN
ap-951	824	34	stands	stand	VERB
ap-951	824	35	that	that	SCONJ
ap-951	824	36	m	m	VERB
ap-951	824	37	m	m	VERB
ap-951	824	38	m	m	VERB
ap-951	824	39	j	j	PROPN
ap-951	824	40	�	�	PROPN
ap-951	824	41	�	�	PROPN
ap-951	824	42	�	�	PROPN
ap-951	824	43	.	.	PUNCT
ap-951	825	1	it	it	PRON
ap-951	825	2	defines	define	VERB
ap-951	825	3	the	the	DET
ap-951	825	4	shc	shc	PROPN
ap-951	825	5	between	between	ADP
ap-951	825	6	two	two	NUM
ap-951	825	7	integrable	integrable	ADJ
ap-951	825	8	systems	system	NOUN
ap-951	825	9	related	relate	VERB
ap-951	825	10	to	to	ADP
ap-951	825	11	�	�	PROPN
ap-951	825	12	h	h	PROPN
ap-951	825	13	n	n	ADP
ap-951	825	14	g	g	PROPN
ap-951	825	15	n	n	VERB
ap-951	825	16	m	m	PROPN
ap-951	825	17	(	(	PUNCT
ap-951	825	18	,	,	PUNCT
ap-951	825	19	,	,	PUNCT
ap-951	825	20	,	,	PUNCT
ap-951	825	21	)	)	PUNCT
ap-951	825	22	)	)	PUNCT
ap-951	825	23	.	.	PUNCT
ap-951	826	1	in	in	ADP
ap-951	826	2	particular	particular	ADJ
ap-951	826	3	,	,	PUNCT
ap-951	826	4	we	we	PRON
ap-951	826	5	have	have	AUX
ap-951	826	6	described	describe	VERB
ap-951	826	7	it	it	PRON
ap-951	826	8	at	at	ADP
ap-951	826	9	the	the	DET
ap-951	826	10	point	point	NOUN
ap-951	826	11	y	y	PROPN
ap-951	826	12	�	�	PROPN
ap-951	826	13	0	0	NUM
ap-951	826	14	for	for	ADP
ap-951	826	15	�	�	PROPN
ap-951	826	16	h	h	PROPN
ap-951	826	17	n	n	CCONJ
ap-951	826	18	n	n	CCONJ
ap-951	826	19	(	(	PUNCT
ap-951	826	20	,	,	PUNCT
ap-951	826	21	,	,	PUNCT
ap-951	826	22	,	,	PUNCT
ap-951	826	23	)	)	PUNCT
ap-951	826	24	1	1	NUM
ap-951	826	25	0	0	NUM
ap-951	826	26	and	and	CCONJ
ap-951	826	27	�	�	PROPN
ap-951	826	28	h	h	PROPN
ap-951	826	29	n	n	CCONJ
ap-951	826	30	n	n	CCONJ
ap-951	826	31	(	(	PUNCT
ap-951	826	32	,	,	PUNCT
ap-951	826	33	,	,	PUNCT
ap-951	826	34	,	,	PUNCT
ap-951	826	35	)	)	PUNCT
ap-951	826	36	1	1	NUM
ap-951	826	37	1	1	NUM
ap-951	826	38	.	.	PUNCT
ap-951	826	39	6	6	NUM
ap-951	826	40	conclusion	conclusion	NOUN
ap-951	826	41	here	here	ADV
ap-951	826	42	we	we	PRON
ap-951	826	43	will	will	AUX
ap-951	826	44	briefly	briefly	ADV
ap-951	826	45	discus	discus	VERB
ap-951	826	46	some	some	DET
ap-951	826	47	related	relate	VERB
ap-951	826	48	issues	issue	NOUN
ap-951	826	49	have	have	AUX
ap-951	826	50	not	not	PART
ap-951	826	51	included	include	VERB
ap-951	826	52	in	in	ADP
ap-951	826	53	the	the	DET
ap-951	826	54	lectures	lecture	NOUN
ap-951	826	55	.	.	PUNCT
ap-951	827	1	6.1	6.1	NUM
ap-951	827	2	solutions	solution	NOUN
ap-951	827	3	of	of	ADP
ap-951	827	4	the	the	DET
ap-951	827	5	hitchin	hitchin	PROPN
ap-951	827	6	equations	equation	NOUN
ap-951	827	7	(	(	PUNCT
ap-951	827	8	5.9	5.9	NUM
ap-951	827	9	)	)	PUNCT
ap-951	827	10	corresponding	correspond	VERB
ap-951	827	11	to	to	ADP
ap-951	827	12	quasi	quasi	ADJ
ap-951	827	13	-	-	ADJ
ap-951	827	14	parabolic	parabolic	ADJ
ap-951	827	15	higgs	higgs	NOUN
ap-951	827	16	bundles	bundle	NOUN
ap-951	827	17	were	be	AUX
ap-951	827	18	analyzed	analyze	VERB
ap-951	827	19	in	in	ADP
ap-951	827	20	ref	ref	NOUN
ap-951	827	21	.	.	PUNCT
ap-951	828	1	[	[	X
ap-951	828	2	17	17	NUM
ap-951	828	3	]	]	PUNCT
ap-951	828	4	.	.	PUNCT
ap-951	829	1	in	in	ADP
ap-951	829	2	the	the	DET
ap-951	829	3	three	three	NUM
ap-951	829	4	-	-	PUNCT
ap-951	829	5	dimensional	dimensional	ADJ
ap-951	829	6	gauge	gauge	NOUN
ap-951	829	7	theory	theory	NOUN
ap-951	829	8	considered	consider	VERB
ap-951	829	9	in	in	ADP
ap-951	829	10	section	section	NOUN
ap-951	829	11	4.3	4.3	NUM
ap-951	829	12	we	we	PRON
ap-951	829	13	have	have	VERB
ap-951	829	14	the	the	DET
ap-951	829	15	wilson	wilson	PROPN
ap-951	829	16	lines	line	NOUN
ap-951	829	17	located	locate	VERB
ap-951	829	18	at	at	ADP
ap-951	829	19	the	the	DET
ap-951	829	20	marked	mark	VERB
ap-951	829	21	points	point	NOUN
ap-951	829	22	.	.	PUNCT
ap-951	830	1	in	in	ADP
ap-951	830	2	the	the	DET
ap-951	830	3	four	four	NUM
ap-951	830	4	-	-	PUNCT
ap-951	830	5	dimensional	dimensional	ADJ
ap-951	830	6	yang	yang	PROPN
ap-951	830	7	-	-	PUNCT
ap-951	830	8	mills	mill	NOUN
ap-951	830	9	theory	theory	NOUN
ap-951	830	10	they	they	PRON
ap-951	830	11	corresponds	correspond	VERB
ap-951	830	12	to	to	ADP
ap-951	830	13	singular	singular	PROPN
ap-951	830	14	operators	operator	NOUN
ap-951	830	15	along	along	ADP
ap-951	830	16	two	two	NUM
ap-951	830	17	-	-	PUNCT
ap-951	830	18	dimensional	dimensional	ADJ
ap-951	830	19	surfaces	surface	NOUN
ap-951	830	20	.	.	PUNCT
ap-951	831	1	locally	locally	ADV
ap-951	831	2	on	on	ADP
ap-951	831	3	a	a	DET
ap-951	831	4	punctured	punctured	ADJ
ap-951	831	5	disc	disc	NOUN
ap-951	831	6	around	around	ADP
ap-951	831	7	a	a	DET
ap-951	831	8	marked	mark	VERB
ap-951	831	9	point	point	NOUN
ap-951	831	10	the	the	DET
ap-951	831	11	hitchin	hitchin	NOUN
ap-951	831	12	system	system	NOUN
ap-951	831	13	(	(	PUNCT
ap-951	831	14	5.9	5.9	NUM
ap-951	831	15	)	)	PUNCT
ap-951	831	16	assumes	assume	VERB
ap-951	831	17	the	the	DET
ap-951	831	18	form	form	NOUN
ap-951	831	19	of	of	ADP
ap-951	831	20	the	the	DET
ap-951	831	21	nahm	nahm	PROPN
ap-951	831	22	equations	equations	PROPN
ap-951	832	1	[	[	X
ap-951	832	2	43	43	NUM
ap-951	832	3	]	]	PUNCT
ap-951	832	4	.	.	PUNCT
ap-951	833	1	it	it	PRON
ap-951	833	2	was	be	AUX
ap-951	833	3	proved	prove	VERB
ap-951	833	4	in	in	ADP
ap-951	833	5	ref	ref	NOUN
ap-951	833	6	.	.	PUNCT
ap-951	834	1	[	[	X
ap-951	834	2	46	46	NUM
ap-951	834	3	]	]	PUNCT
ap-951	834	4	that	that	SCONJ
ap-951	834	5	the	the	DET
ap-951	834	6	space	space	NOUN
ap-951	834	7	of	of	ADP
ap-951	834	8	its	its	PRON
ap-951	834	9	solutions	solution	NOUN
ap-951	834	10	after	after	ADP
ap-951	834	11	dividing	divide	VERB
ap-951	834	12	on	on	ADP
ap-951	834	13	a	a	DET
ap-951	834	14	special	special	ADJ
ap-951	834	15	gauge	gauge	NOUN
ap-951	834	16	group	group	NOUN
ap-951	834	17	is	be	AUX
ap-951	834	18	symlectomorphic	symlectomorphic	ADJ
ap-951	834	19	to	to	ADP
ap-951	834	20	a	a	DET
ap-951	834	21	coadjoint	coadjoint	NOUN
ap-951	834	22	orbit	orbit	NOUN
ap-951	834	23	of	of	ADP
ap-951	834	24	sl	sl	INTJ
ap-951	834	25	(	(	PUNCT
ap-951	834	26	,	,	PUNCT
ap-951	834	27	)	)	PUNCT
ap-951	834	28	n	n	DET
ap-951	834	29	�	�	PROPN
ap-951	834	30	.	.	PUNCT
ap-951	835	1	a	a	DET
ap-951	835	2	hyper	hyper	ADJ
ap-951	835	3	-	-	ADJ
ap-951	835	4	kahler	kahler	ADJ
ap-951	835	5	structure	structure	NOUN
ap-951	835	6	on	on	ADP
ap-951	835	7	the	the	DET
ap-951	835	8	space	space	NOUN
ap-951	835	9	of	of	ADP
ap-951	835	10	solutions	solution	NOUN
ap-951	835	11	induces	induce	VERB
ap-951	835	12	a	a	DET
ap-951	835	13	hyper	hyper	ADJ
ap-951	835	14	-	-	ADJ
ap-951	835	15	kahler	kahler	ADJ
ap-951	835	16	structure	structure	NOUN
ap-951	835	17	on	on	ADP
ap-951	835	18	the	the	DET
ap-951	835	19	orbits	orbit	NOUN
ap-951	835	20	.	.	PUNCT
ap-951	836	1	it	it	PRON
ap-951	836	2	establishes	establish	VERB
ap-951	836	3	the	the	DET
ap-951	836	4	interrelations	interrelation	NOUN
ap-951	836	5	between	between	ADP
ap-951	836	6	the	the	DET
ap-951	836	7	hitchin	hitchin	PROPN
ap-951	836	8	equations	equation	NOUN
ap-951	836	9	and	and	CCONJ
ap-951	836	10	the	the	DET
ap-951	836	11	higgs	higgs	NOUN
ap-951	836	12	bundles	bundle	NOUN
ap-951	836	13	with	with	ADP
ap-951	836	14	the	the	DET
ap-951	836	15	marked	mark	VERB
ap-951	836	16	points	point	NOUN
ap-951	836	17	(	(	PUNCT
ap-951	836	18	the	the	DET
ap-951	836	19	quasi	quasi	ADJ
ap-951	836	20	-	-	ADJ
ap-951	836	21	parabolic	parabolic	ADJ
ap-951	836	22	higgs	higgs	NOUN
ap-951	836	23	bundles	bundle	NOUN
ap-951	836	24	)	)	PUNCT
ap-951	836	25	.	.	PUNCT
ap-951	837	1	6.2	6.2	NUM
ap-951	837	2	there	there	PRON
ap-951	837	3	exists	exist	VERB
ap-951	837	4	a	a	DET
ap-951	837	5	generalization	generalization	NOUN
ap-951	837	6	of	of	ADP
ap-951	837	7	this	this	DET
ap-951	837	8	approach	approach	NOUN
ap-951	837	9	to	to	ADP
ap-951	837	10	higgs	higgs	NOUN
ap-951	837	11	bundles	bundle	NOUN
ap-951	837	12	of	of	ADP
ap-951	837	13	infinite	infinite	ADJ
ap-951	837	14	rank	rank	NOUN
ap-951	837	15	.	.	PUNCT
ap-951	838	1	in	in	ADP
ap-951	838	2	other	other	ADJ
ap-951	838	3	words	word	NOUN
ap-951	838	4	,	,	PUNCT
ap-951	838	5	the	the	DET
ap-951	838	6	structure	structure	NOUN
ap-951	838	7	group	group	NOUN
ap-951	838	8	g	g	PROPN
ap-951	838	9	n	n	CCONJ
ap-951	838	10	�	�	PROPN
ap-951	838	11	gl	gl	PROPN
ap-951	838	12	(	(	PUNCT
ap-951	838	13	,	,	PUNCT
ap-951	838	14	)	)	PUNCT
ap-951	838	15	�	�	PROPN
ap-951	838	16	or	or	CCONJ
ap-951	838	17	sl	sl	PROPN
ap-951	838	18	(	(	PUNCT
ap-951	838	19	,	,	PUNCT
ap-951	838	20	)	)	PUNCT
ap-951	838	21	n	n	PRON
ap-951	838	22	�	�	PROPN
ap-951	838	23	of	of	ADP
ap-951	838	24	the	the	DET
ap-951	838	25	bundles	bundle	NOUN
ap-951	838	26	is	be	AUX
ap-951	838	27	replaced	replace	VERB
ap-951	838	28	by	by	ADP
ap-951	838	29	an	an	DET
ap-951	838	30	infinite	infinite	ADJ
ap-951	838	31	-	-	PUNCT
ap-951	838	32	rank	rank	NOUN
ap-951	838	33	group	group	NOUN
ap-951	838	34	.	.	PUNCT
ap-951	839	1	one	one	NUM
ap-951	839	2	way	way	NOUN
ap-951	839	3	is	be	AUX
ap-951	839	4	to	to	PART
ap-951	839	5	consider	consider	VERB
ap-951	839	6	the	the	DET
ap-951	839	7	central	central	ADJ
ap-951	839	8	extended	extended	ADJ
ap-951	839	9	loop	loop	NOUN
ap-951	839	10	group	group	NOUN
ap-951	839	11	s	s	PART
ap-951	839	12	g1	g1	PROPN
ap-951	839	13	�	�	PROPN
ap-951	839	14	.	.	PUNCT
ap-951	840	1	then	then	ADV
ap-951	840	2	the	the	DET
ap-951	840	3	higgs	higgs	NOUN
ap-951	840	4	field	field	NOUN
ap-951	840	5	depends	depend	VERB
ap-951	840	6	on	on	ADP
ap-951	840	7	additional	additional	ADJ
ap-951	840	8	variable	variable	ADJ
ap-951	840	9	x	x	SYM
ap-951	840	10	s	s	VERB
ap-951	840	11	�	�	PROPN
ap-951	840	12	1	1	NUM
ap-951	840	13	and	and	CCONJ
ap-951	840	14	instead	instead	ADV
ap-951	840	15	of	of	ADP
ap-951	840	16	the	the	DET
ap-951	840	17	lax	lax	ADJ
ap-951	840	18	equation	equation	NOUN
ap-951	840	19	we	we	PRON
ap-951	840	20	come	come	VERB
ap-951	840	21	to	to	ADP
ap-951	840	22	the	the	DET
ap-951	840	23	zakharov	zakharov	PROPN
ap-951	840	24	-	-	PUNCT
ap-951	840	25	shabat	shabat	NOUN
ap-951	840	26	equation	equation	NOUN
ap-951	840	27	�	�	PROPN
ap-951	840	28	�	�	PROPN
ap-951	840	29	j	j	PROPN
ap-951	840	30	x	x	SYM
ap-951	840	31	j	j	PROPN
ap-951	840	32	jl	jl	PROPN
ap-951	840	33	m	m	PROPN
ap-951	840	34	m	m	VERB
ap-951	840	35	l	l	X
ap-951	840	36	�	�	PROPN
ap-951	840	37	�	�	PROPN
ap-951	840	38	[	[	PUNCT
ap-951	840	39	,	,	PUNCT
ap-951	840	40	]	]	PUNCT
ap-951	840	41	0	0	X
ap-951	840	42	.	.	PUNCT
ap-951	841	1	this	this	DET
ap-951	841	2	equation	equation	NOUN
ap-951	841	3	describes	describe	VERB
ap-951	841	4	an	an	DET
ap-951	841	5	infinite	infinite	ADJ
ap-951	841	6	-	-	PUNCT
ap-951	841	7	dimensional	dimensional	ADJ
ap-951	841	8	integrable	integrable	ADJ
ap-951	841	9	hierarchy	hierarchy	NOUN
ap-951	841	10	like	like	ADP
ap-951	841	11	the	the	DET
ap-951	841	12	kdv	kdv	NOUN
ap-951	841	13	hierarchy	hierarchy	NOUN
ap-951	841	14	.	.	PUNCT
ap-951	842	1	the	the	DET
ap-951	842	2	two	two	NUM
ap-951	842	3	-	-	PUNCT
ap-951	842	4	dimensional	dimensional	ADJ
ap-951	842	5	version	version	NOUN
ap-951	842	6	of	of	ADP
ap-951	842	7	ecms	ecms	NOUN
ap-951	842	8	was	be	AUX
ap-951	842	9	constructed	construct	VERB
ap-951	842	10	in	in	ADP
ap-951	842	11	[	[	X
ap-951	842	12	10,11	10,11	NOUN
ap-951	842	13	]	]	PUNCT
ap-951	842	14	.	.	PUNCT
ap-951	843	1	in	in	ADP
ap-951	843	2	particular	particular	ADJ
ap-951	843	3	,	,	PUNCT
ap-951	843	4	shc	shc	PROPN
ap-951	843	5	establishes	establish	VERB
ap-951	843	6	an	an	DET
ap-951	843	7	equivalence	equivalence	NOUN
ap-951	843	8	of	of	ADP
ap-951	843	9	the	the	DET
ap-951	843	10	two	two	NUM
ap-951	843	11	-	-	PUNCT
ap-951	843	12	particles	particle	NOUN
ap-951	843	13	(	(	PUNCT
ap-951	843	14	n	n	X
ap-951	843	15	�	�	NOUN
ap-951	843	16	2	2	NUM
ap-951	843	17	)	)	PUNCT
ap-951	843	18	elliptic	elliptic	ADJ
ap-951	843	19	calogero	calogero	PROPN
ap-951	843	20	-	-	PUNCT
ap-951	843	21	moser	moser	PROPN
ap-951	843	22	field	field	NOUN
ap-951	843	23	theory	theory	NOUN
ap-951	843	24	with	with	ADP
ap-951	843	25	the	the	DET
ap-951	843	26	landau	landau	NOUN
ap-951	843	27	-	-	PUNCT
ap-951	843	28	lifshitz	lifshitz	NOUN
ap-951	843	29	equation	equation	NOUN
ap-951	843	30	[	[	X
ap-951	843	31	44	44	NUM
ap-951	843	32	,	,	PUNCT
ap-951	843	33	45	45	NUM
ap-951	843	34	]	]	PUNCT
ap-951	843	35	.	.	PUNCT
ap-951	844	1	the	the	DET
ap-951	844	2	latter	latter	ADJ
ap-951	844	3	system	system	NOUN
ap-951	844	4	is	be	AUX
ap-951	844	5	the	the	DET
ap-951	844	6	two	two	NUM
ap-951	844	7	-	-	PUNCT
ap-951	844	8	dimensional	dimensional	ADJ
ap-951	844	9	version	version	NOUN
ap-951	844	10	of	of	ADP
ap-951	844	11	the	the	DET
ap-951	844	12	sl	sl	NOUN
ap-951	844	13	(	(	PUNCT
ap-951	844	14	,	,	PUNCT
ap-951	844	15	)	)	PUNCT
ap-951	844	16	2	2	NUM
ap-951	844	17	�	�	PROPN
ap-951	844	18	elliptic	elliptic	ADJ
ap-951	844	19	top	top	NOUN
ap-951	844	20	.	.	PUNCT
ap-951	845	1	relations	relation	NOUN
ap-951	845	2	(	(	PUNCT
ap-951	845	3	4.48	4.48	NUM
ap-951	845	4	)	)	PUNCT
ap-951	845	5	work	work	NOUN
ap-951	845	6	in	in	ADP
ap-951	845	7	the	the	DET
ap-951	845	8	two	two	NUM
ap-951	845	9	-	-	PUNCT
ap-951	845	10	dimensional	dimensional	ADJ
ap-951	845	11	case	case	NOUN
ap-951	845	12	.	.	PUNCT
ap-951	846	1	another	another	DET
ap-951	846	2	way	way	NOUN
ap-951	846	3	is	be	AUX
ap-951	846	4	to	to	PART
ap-951	846	5	considergl	considergl	VERB
ap-951	846	6	(	(	PUNCT
ap-951	846	7	)	)	PUNCT
ap-951	846	8	�	�	PROPN
ap-951	846	9	bundles	bundle	NOUN
ap-951	846	10	.	.	PUNCT
ap-951	847	1	in	in	ADP
ap-951	847	2	ref	ref	NOUN
ap-951	847	3	.	.	PUNCT
ap-951	848	1	[	[	X
ap-951	848	2	48	48	NUM
ap-951	848	3	]	]	SYM
ap-951	848	4	ecms	ecms	NOUN
ap-951	848	5	for	for	ADP
ap-951	848	6	infinite	infinite	ADJ
ap-951	848	7	number	number	NOUN
ap-951	848	8	of	of	ADP
ap-951	848	9	particles	particle	NOUN
ap-951	848	10	n	n	PRON
ap-951	848	11	�	�	PROPN
ap-951	848	12	�	�	PROPN
ap-951	848	13	was	be	AUX
ap-951	848	14	analyzed	analyze	VERB
ap-951	848	15	.	.	PUNCT
ap-951	849	1	the	the	DET
ap-951	849	2	elliptic	elliptic	ADJ
ap-951	849	3	top	top	NOUN
ap-951	849	4	on	on	ADP
ap-951	849	5	the	the	DET
ap-951	849	6	group	group	NOUN
ap-951	849	7	of	of	ADP
ap-951	849	8	the	the	DET
ap-951	849	9	non	non	ADJ
ap-951	849	10	-	-	ADJ
ap-951	849	11	commutative	commutative	ADJ
ap-951	849	12	torus	torus	NOUN
ap-951	849	13	was	be	AUX
ap-951	849	14	considered	consider	VERB
ap-951	849	15	in	in	ADP
ap-951	849	16	ref	ref	NOUN
ap-951	849	17	.	.	PUNCT
ap-951	850	1	[	[	X
ap-951	850	2	47	47	NUM
ap-951	850	3	]	]	PUNCT
ap-951	850	4	.	.	PUNCT
ap-951	851	1	it	it	PRON
ap-951	851	2	is	be	AUX
ap-951	851	3	a	a	DET
ap-951	851	4	subgroup	subgroup	NOUN
ap-951	851	5	of	of	ADP
ap-951	851	6	gl	gl	PROPN
ap-951	851	7	(	(	PUNCT
ap-951	851	8	)	)	PUNCT
ap-951	851	9	�	�	PROPN
ap-951	851	10	.	.	PUNCT
ap-951	852	1	this	this	DET
ap-951	852	2	construction	construction	NOUN
ap-951	852	3	describes	describe	VERB
ap-951	852	4	an	an	DET
ap-951	852	5	integrable	integrable	ADJ
ap-951	852	6	modification	modification	NOUN
ap-951	852	7	of	of	ADP
ap-951	852	8	the	the	DET
ap-951	852	9	hydrodynamics	hydrodynamic	NOUN
ap-951	852	10	of	of	ADP
ap-951	852	11	the	the	DET
ap-951	852	12	ideal	ideal	ADJ
ap-951	852	13	fluid	fluid	NOUN
ap-951	852	14	on	on	ADP
ap-951	852	15	a	a	DET
ap-951	852	16	non	non	ADJ
ap-951	852	17	-	-	ADJ
ap-951	852	18	commutative	commutative	ADJ
ap-951	852	19	two	two	NUM
ap-951	852	20	-	-	PUNCT
ap-951	852	21	dimensional	dimensional	ADJ
ap-951	852	22	torus	torus	NOUN
ap-951	852	23	.	.	PUNCT
ap-951	853	1	6.3	6.3	NUM
ap-951	853	2	consider	consider	VERB
ap-951	853	3	dynamical	dynamical	ADJ
ap-951	853	4	systems	system	NOUN
ap-951	853	5	,	,	PUNCT
ap-951	853	6	where	where	SCONJ
ap-951	853	7	the	the	DET
ap-951	853	8	role	role	NOUN
ap-951	853	9	of	of	ADP
ap-951	853	10	times	time	NOUN
ap-951	853	11	is	be	AUX
ap-951	853	12	played	play	VERB
ap-951	853	13	by	by	ADP
ap-951	853	14	parameters	parameter	NOUN
ap-951	853	15	of	of	ADP
ap-951	853	16	complex	complex	ADJ
ap-951	853	17	structures	structure	NOUN
ap-951	853	18	of	of	ADP
ap-951	853	19	curves	curve	NOUN
ap-951	853	20	�	�	PROPN
ap-951	853	21	g	g	PROPN
ap-951	853	22	n	n	CCONJ
ap-951	853	23	,	,	PUNCT
ap-951	853	24	.	.	PUNCT
ap-951	854	1	in	in	ADP
ap-951	854	2	this	this	DET
ap-951	854	3	case	case	NOUN
ap-951	854	4	we	we	PRON
ap-951	854	5	come	come	VERB
ap-951	854	6	to	to	ADP
ap-951	854	7	monodromy	monodromy	NOUN
ap-951	854	8	preserving	preserve	VERB
ap-951	854	9	equations	equation	NOUN
ap-951	854	10	,	,	PUNCT
ap-951	854	11	like	like	ADP
ap-951	854	12	the	the	DET
ap-951	854	13	schlesinger	schlesinger	NOUN
ap-951	854	14	system	system	NOUN
ap-951	854	15	or	or	CCONJ
ap-951	854	16	the	the	DET
ap-951	854	17	painlevé	painlevé	NOUN
ap-951	854	18	equations	equation	NOUN
ap-951	854	19	.	.	PUNCT
ap-951	855	1	they	they	PRON
ap-951	855	2	can	can	AUX
ap-951	855	3	be	be	AUX
ap-951	855	4	constructed	construct	VERB
ap-951	855	5	in	in	ADP
ap-951	855	6	the	the	DET
ap-951	855	7	similar	similar	ADJ
ap-951	855	8	fashion	fashion	NOUN
ap-951	855	9	as	as	ADP
ap-951	855	10	the	the	DET
ap-951	855	11	integrable	integrable	ADJ
ap-951	855	12	hitchin	hitchin	PROPN
ap-951	855	13	systems	system	NOUN
ap-951	855	14	[	[	X
ap-951	855	15	8	8	NUM
ap-951	855	16	]	]	PUNCT
ap-951	855	17	.	.	PUNCT
ap-951	856	1	to	to	ADP
ap-951	856	2	this	this	DET
ap-951	856	3	purpose	purpose	NOUN
ap-951	856	4	the	the	DET
ap-951	856	5	one	one	NOUN
ap-951	856	6	should	should	AUX
ap-951	856	7	replace	replace	VERB
ap-951	856	8	the	the	DET
ap-951	856	9	higgs	higgs	NOUN
ap-951	856	10	bundles	bundle	NOUN
ap-951	856	11	by	by	ADP
ap-951	856	12	the	the	DET
ap-951	856	13	flat	flat	ADJ
ap-951	856	14	bundles	bundle	NOUN
ap-951	856	15	and	and	CCONJ
ap-951	856	16	afterwards	afterwards	ADV
ap-951	856	17	use	use	VERB
ap-951	856	18	the	the	DET
ap-951	856	19	same	same	ADJ
ap-951	856	20	symplectic	symplectic	ADJ
ap-951	856	21	reduction	reduction	NOUN
ap-951	856	22	(	(	PUNCT
ap-951	856	23	see	see	VERB
ap-951	856	24	(	(	PUNCT
ap-951	856	25	5.17	5.17	NUM
ap-951	856	26	)	)	PUNCT
ap-951	856	27	)	)	PUNCT
ap-951	856	28	.	.	PUNCT
ap-951	857	1	in	in	ADP
ap-951	857	2	this	this	DET
ap-951	857	3	situation	situation	NOUN
ap-951	857	4	the	the	DET
ap-951	857	5	lax	lax	ADJ
ap-951	857	6	equations	equation	NOUN
ap-951	857	7	takes	take	VERB
ap-951	857	8	the	the	DET
ap-951	857	9	form	form	NOUN
ap-951	857	10	�	�	PROPN
ap-951	857	11	�	�	PROPN
ap-951	857	12	j	j	PROPN
ap-951	857	13	z	z	PROPN
ap-951	857	14	j	j	PROPN
ap-951	858	1	jl	jl	PROPN
ap-951	858	2	m	m	PROPN
ap-951	858	3	m	m	VERB
ap-951	858	4	l	l	X
ap-951	858	5	�	�	PROPN
ap-951	858	6	�	�	PROPN
ap-951	858	7	[	[	PUNCT
ap-951	858	8	,	,	PUNCT
ap-951	858	9	]	]	PUNCT
ap-951	858	10	0	0	X
ap-951	858	11	.	.	PUNCT
ap-951	859	1	an	an	DET
ap-951	859	2	analysis	analysis	NOUN
ap-951	859	3	of	of	ADP
ap-951	859	4	this	this	DET
ap-951	859	5	system	system	NOUN
ap-951	859	6	is	be	AUX
ap-951	859	7	more	more	ADV
ap-951	859	8	complicated	complicated	ADJ
ap-951	859	9	than	than	ADP
ap-951	859	10	the	the	DET
ap-951	859	11	standard	standard	ADJ
ap-951	859	12	lax	lax	ADJ
ap-951	859	13	equations	equation	NOUN
ap-951	859	14	due	due	ADP
ap-951	859	15	to	to	ADP
ap-951	859	16	the	the	DET
ap-951	859	17	presence	presence	NOUN
ap-951	859	18	of	of	ADP
ap-951	859	19	derivative	derivative	NOUN
ap-951	859	20	with	with	ADP
ap-951	859	21	respect	respect	NOUN
ap-951	859	22	to	to	ADP
ap-951	859	23	the	the	DET
ap-951	859	24	spectral	spectral	ADJ
ap-951	859	25	parameter	parameter	NOUN
ap-951	859	26	.	.	PUNCT
ap-951	860	1	note	note	VERB
ap-951	860	2	that	that	SCONJ
ap-951	860	3	mj	mj	PROPN
ap-951	860	4	corresponds	correspond	VERB
ap-951	860	5	only	only	ADV
ap-951	860	6	to	to	ADP
ap-951	860	7	quadratic	quadratic	ADJ
ap-951	860	8	hamiltonians	hamiltonian	NOUN
ap-951	860	9	,	,	PUNCT
ap-951	860	10	since	since	SCONJ
ap-951	860	11	they	they	PRON
ap-951	860	12	responsible	responsible	ADJ
ap-951	860	13	for	for	ADP
ap-951	860	14	the	the	DET
ap-951	860	15	deformations	deformation	NOUN
ap-951	860	16	of	of	ADP
ap-951	860	17	complex	complex	ADJ
ap-951	860	18	structures	structure	NOUN
ap-951	860	19	.	.	PUNCT
ap-951	861	1	concrete	concrete	ADJ
ap-951	861	2	examples	example	NOUN
ap-951	861	3	of	of	ADP
ap-951	861	4	this	this	DET
ap-951	861	5	construction	construction	NOUN
ap-951	861	6	was	be	AUX
ap-951	861	7	given	give	VERB
ap-951	861	8	in	in	ADP
ap-951	861	9	[	[	NOUN
ap-951	861	10	8	8	NUM
ap-951	861	11	,	,	PUNCT
ap-951	861	12	52	52	NUM
ap-951	861	13	,	,	PUNCT
ap-951	861	14	53	53	NUM
ap-951	861	15	]	]	PUNCT
ap-951	861	16	.	.	PUNCT
ap-951	862	1	interrelations	interrelation	NOUN
ap-951	862	2	with	with	ADP
ap-951	862	3	higgs	higgs	NOUN
ap-951	862	4	bundles	bundle	NOUN
ap-951	862	5	were	be	AUX
ap-951	862	6	analyzed	analyze	VERB
ap-951	862	7	in	in	ADP
ap-951	862	8	[	[	X
ap-951	862	9	8	8	NUM
ap-951	862	10	,	,	PUNCT
ap-951	862	11	49	49	NUM
ap-951	862	12	]	]	PUNCT
ap-951	862	13	.	.	PUNCT
ap-951	863	1	it	it	PRON
ap-951	863	2	is	be	AUX
ap-951	863	3	remarkable	remarkable	ADJ
ap-951	863	4	that	that	SCONJ
ap-951	863	5	the	the	DET
ap-951	863	6	symplectic	symplectic	PROPN
ap-951	863	7	hecke	hecke	PROPN
ap-951	863	8	correspondence	correspondence	NOUN
ap-951	863	9	works	work	VERB
ap-951	863	10	in	in	ADP
ap-951	863	11	this	this	DET
ap-951	863	12	case	case	NOUN
ap-951	863	13	.	.	PUNCT
ap-951	864	1	it	it	PRON
ap-951	864	2	establishes	establish	VERB
ap-951	864	3	an	an	DET
ap-951	864	4	equivalence	equivalence	NOUN
ap-951	864	5	of	of	ADP
ap-951	864	6	the	the	DET
ap-951	864	7	painlevé	painlevé	NOUN
ap-951	864	8	vi	vi	NOUN
ap-951	864	9	equation	equation	NOUN
ap-951	864	10	and	and	CCONJ
ap-951	864	11	a	a	DET
ap-951	864	12	non	non	ADJ
ap-951	864	13	-	-	ADJ
ap-951	864	14	autonomous	autonomous	ADJ
ap-951	864	15	zhukovski	zhukovski	ADJ
ap-951	864	16	-	-	PUNCT
ap-951	864	17	volterra	volterra	NOUN
ap-951	864	18	gyrostat	gyrostat	NOUN
ap-951	865	1	[	[	X
ap-951	865	2	12	12	NUM
ap-951	865	3	]	]	PUNCT
ap-951	865	4	.	.	PUNCT
ap-951	866	1	6.4	6.4	NUM
ap-951	866	2	a	a	DET
ap-951	866	3	modification	modification	NOUN
ap-951	866	4	of	of	ADP
ap-951	866	5	the	the	DET
ap-951	866	6	higgs	higgs	NOUN
ap-951	866	7	bundles	bundle	NOUN
ap-951	866	8	allows	allow	VERB
ap-951	866	9	one	one	NUM
ap-951	866	10	to	to	PART
ap-951	866	11	construct	construct	VERB
ap-951	866	12	relativistic	relativistic	ADJ
ap-951	866	13	integrable	integrable	ADJ
ap-951	866	14	systems	system	NOUN
ap-951	866	15	[	[	X
ap-951	866	16	50	50	NUM
ap-951	866	17	]	]	PUNCT
ap-951	866	18	.	.	PUNCT
ap-951	867	1	the	the	DET
ap-951	867	2	role	role	NOUN
ap-951	867	3	of	of	ADP
ap-951	867	4	the	the	DET
ap-951	867	5	higgs	higgs	NOUN
ap-951	867	6	field	field	NOUN
ap-951	867	7	is	be	AUX
ap-951	867	8	played	play	VERB
ap-951	867	9	by	by	ADP
ap-951	867	10	a	a	DET
ap-951	867	11	group	group	NOUN
ap-951	867	12	element	element	NOUN
ap-951	867	13	g	g	PROPN
ap-951	867	14	ck	ck	PROPN
ap-951	867	15	�	�	PROPN
ap-951	867	16	�	�	PROPN
ap-951	867	17	exp	exp	PROPN
ap-951	867	18	(	(	PUNCT
ap-951	867	19	)	)	PUNCT
ap-951	867	20	1	1	NUM
ap-951	867	21	where	where	SCONJ
ap-951	867	22	k	k	PROPN
ap-951	867	23	is	be	AUX
ap-951	867	24	a	a	DET
ap-951	867	25	canonical	canonical	ADJ
ap-951	867	26	class	class	NOUN
ap-951	867	27	on	on	ADP
ap-951	867	28	�	�	PROPN
ap-951	867	29	and	and	CCONJ
ap-951	867	30	c	c	PROPN
ap-951	867	31	is	be	AUX
ap-951	867	32	the	the	DET
ap-951	867	33	relativistic	relativistic	ADJ
ap-951	867	34	parameter	parameter	NOUN
ap-951	867	35	.	.	PUNCT
ap-951	868	1	this	this	DET
ap-951	868	2	construction	construction	NOUN
ap-951	868	3	works	work	VERB
ap-951	868	4	only	only	ADV
ap-951	868	5	for	for	ADP
ap-951	868	6	curves	curve	NOUN
ap-951	868	7	of	of	ADP
ap-951	868	8	genus	genus	NOUN
ap-951	868	9	©	©	PROPN
ap-951	868	10	czech	czech	PROPN
ap-951	868	11	technical	technical	PROPN
ap-951	868	12	university	university	PROPN
ap-951	868	13	publishing	publishing	NOUN
ap-951	868	14	house	house	NOUN
ap-951	868	15	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-951	868	16	21	21	NUM
ap-951	868	17	acta	acta	PROPN
ap-951	868	18	polytechnica	polytechnica	PROPN
ap-951	868	19	vol	vol	NOUN
ap-951	868	20	.	.	PUNCT
ap-951	869	1	48	48	NUM
ap-951	869	2	no	no	NOUN
ap-951	869	3	.	.	PUNCT
ap-951	870	1	2/2008	2/2008	PROPN
ap-951	870	2	g	g	NOUN
ap-951	870	3	21	21	NUM
ap-951	870	4	.	.	PUNCT
ap-951	871	1	this	this	DET
ap-951	871	2	approach	approach	NOUN
ap-951	871	3	was	be	AUX
ap-951	871	4	realized	realize	VERB
ap-951	871	5	in	in	ADP
ap-951	871	6	ref	ref	NOUN
ap-951	871	7	.	.	PUNCT
ap-951	872	1	[	[	X
ap-951	872	2	28	28	NUM
ap-951	872	3	]	]	PUNCT
ap-951	872	4	to	to	PART
ap-951	872	5	derive	derive	VERB
ap-951	872	6	the	the	DET
ap-951	872	7	elliptic	elliptic	ADJ
ap-951	872	8	rujesenaars	rujesenaar	NOUN
ap-951	872	9	system	system	NOUN
ap-951	872	10	and	and	CCONJ
ap-951	872	11	in	in	ADP
ap-951	872	12	ref	ref	NOUN
ap-951	872	13	.	.	PUNCT
ap-951	873	1	[	[	X
ap-951	873	2	51	51	NUM
ap-951	873	3	,	,	PUNCT
ap-951	873	4	53	53	NUM
ap-951	873	5	]	]	PUNCT
ap-951	873	6	to	to	PART
ap-951	873	7	derive	derive	VERB
ap-951	873	8	the	the	DET
ap-951	873	9	elliptic	elliptic	ADJ
ap-951	873	10	classical	classical	ADJ
ap-951	873	11	r	r	NOUN
ap-951	873	12	-	-	PUNCT
ap-951	873	13	matrix	matrix	NOUN
ap-951	873	14	of	of	ADP
ap-951	873	15	belavin	belavin	NOUN
ap-951	873	16	-	-	PUNCT
ap-951	873	17	drinfeld	drinfeld	VERB
ap-951	873	18	[	[	X
ap-951	873	19	54	54	NUM
ap-951	873	20	]	]	PUNCT
ap-951	873	21	and	and	CCONJ
ap-951	873	22	a	a	DET
ap-951	873	23	quadratic	quadratic	ADJ
ap-951	873	24	poisson	poisson	NOUN
ap-951	873	25	algebra	algebra	NOUN
ap-951	873	26	of	of	ADP
ap-951	873	27	the	the	DET
ap-951	873	28	sklyanin	sklyanin	ADJ
ap-951	873	29	-	-	PUNCT
ap-951	873	30	feigin	feigin	NOUN
ap-951	873	31	-	-	PUNCT
ap-951	873	32	odesski	odesski	NOUN
ap-951	873	33	type	type	NOUN
ap-951	873	34	[	[	X
ap-951	873	35	55	55	NUM
ap-951	873	36	,	,	PUNCT
ap-951	873	37	56	56	NUM
ap-951	873	38	]	]	PUNCT
ap-951	873	39	.	.	PUNCT
ap-951	874	1	the	the	DET
ap-951	874	2	inclusion	inclusion	NOUN
ap-951	874	3	of	of	ADP
ap-951	874	4	the	the	DET
ap-951	874	5	relativistic	relativistic	ADJ
ap-951	874	6	systems	system	NOUN
ap-951	874	7	allows	allow	VERB
ap-951	874	8	to	to	PART
ap-951	874	9	define	define	VERB
ap-951	874	10	a	a	DET
ap-951	874	11	duality	duality	NOUN
ap-951	874	12	in	in	ADP
ap-951	874	13	integrable	integrable	ADJ
ap-951	874	14	systems	system	NOUN
ap-951	874	15	[	[	X
ap-951	874	16	57	57	NUM
ap-951	874	17	,	,	PUNCT
ap-951	874	18	58	58	NUM
ap-951	874	19	]	]	PUNCT
ap-951	874	20	(	(	PUNCT
ap-951	874	21	see	see	VERB
ap-951	874	22	[	[	X
ap-951	874	23	59	59	NUM
ap-951	874	24	]	]	PUNCT
ap-951	874	25	for	for	ADP
ap-951	874	26	recent	recent	ADJ
ap-951	874	27	developments	development	NOUN
ap-951	874	28	)	)	PUNCT
ap-951	874	29	.	.	PUNCT
ap-951	875	1	this	this	DET
ap-951	875	2	type	type	NOUN
ap-951	875	3	of	of	ADP
ap-951	875	4	dualities	duality	NOUN
ap-951	875	5	has	have	VERB
ap-951	875	6	a	a	DET
ap-951	875	7	natural	natural	ADJ
ap-951	875	8	description	description	NOUN
ap-951	875	9	for	for	ADP
ap-951	875	10	the	the	DET
ap-951	875	11	corresponding	corresponding	ADJ
ap-951	875	12	quantum	quantum	ADJ
ap-951	875	13	integrable	integrable	ADJ
ap-951	875	14	systems	system	NOUN
ap-951	875	15	in	in	ADP
ap-951	875	16	terms	term	NOUN
ap-951	875	17	of	of	ADP
ap-951	875	18	hecke	hecke	PROPN
ap-951	875	19	algebras	algebras	PROPN
ap-951	876	1	[	[	X
ap-951	876	2	60	60	NUM
ap-951	876	3	]	]	PUNCT
ap-951	876	4	.	.	PUNCT
ap-951	877	1	there	there	ADV
ap-951	877	2	,	,	PUNCT
ap-951	877	3	it	it	PRON
ap-951	877	4	is	be	AUX
ap-951	877	5	called	call	VERB
ap-951	877	6	the	the	DET
ap-951	877	7	fourier	fourier	NOUN
ap-951	877	8	transform	transform	NOUN
ap-951	877	9	and	and	CCONJ
ap-951	877	10	takes	take	VERB
ap-951	877	11	the	the	DET
ap-951	877	12	form	form	NOUN
ap-951	877	13	of	of	ADP
ap-951	877	14	s	s	NOUN
ap-951	877	15	-	-	NOUN
ap-951	877	16	duality	duality	NOUN
ap-951	877	17	.	.	PUNCT
ap-951	878	1	another	another	DET
ap-951	878	2	form	form	NOUN
ap-951	878	3	of	of	ADP
ap-951	878	4	duality	duality	NOUN
ap-951	878	5	in	in	ADP
ap-951	878	6	the	the	DET
ap-951	878	7	classical	classical	ADJ
ap-951	878	8	hitchin	hitchin	NOUN
ap-951	878	9	system	system	NOUN
ap-951	878	10	considered	consider	VERB
ap-951	878	11	in	in	ADP
ap-951	878	12	[	[	NOUN
ap-951	878	13	61	61	NUM
ap-951	878	14	,	,	PUNCT
ap-951	878	15	62	62	NUM
ap-951	878	16	,	,	PUNCT
ap-951	878	17	63	63	NUM
ap-951	878	18	]	]	PUNCT
ap-951	878	19	.	.	PUNCT
ap-951	879	1	it	it	PRON
ap-951	879	2	is	be	AUX
ap-951	879	3	related	relate	VERB
ap-951	879	4	to	to	AUX
ap-951	879	5	langlands	langland	VERB
ap-951	879	6	duality	duality	NOUN
ap-951	879	7	and	and	CCONJ
ap-951	879	8	similar	similar	ADJ
ap-951	879	9	to	to	ADP
ap-951	879	10	t	t	NOUN
ap-951	879	11	-	-	PUNCT
ap-951	879	12	duality	duality	NOUN
ap-951	879	13	of	of	ADP
ap-951	879	14	fibers	fiber	NOUN
ap-951	879	15	in	in	ADP
ap-951	879	16	the	the	DET
ap-951	879	17	hitchin	hitchin	PROPN
ap-951	879	18	fibration	fibration	NOUN
ap-951	879	19	.	.	PUNCT
ap-951	880	1	6.5	6.5	NUM
ap-951	880	2	there	there	PRON
ap-951	880	3	is	be	VERB
ap-951	880	4	an	an	DET
ap-951	880	5	useful	useful	ADJ
ap-951	880	6	description	description	NOUN
ap-951	880	7	of	of	ADP
ap-951	880	8	the	the	DET
ap-951	880	9	moduli	moduli	NOUN
ap-951	880	10	space	space	NOUN
ap-951	880	11	of	of	ADP
ap-951	880	12	holomorphic	holomorphic	ADJ
ap-951	880	13	vector	vector	NOUN
ap-951	880	14	bundles	bundle	NOUN
ap-951	880	15	closely	closely	ADV
ap-951	880	16	related	relate	VERB
ap-951	880	17	to	to	ADP
ap-951	880	18	the	the	DET
ap-951	880	19	modification	modification	NOUN
ap-951	880	20	described	describe	VERB
ap-951	880	21	in	in	ADP
ap-951	880	22	section	section	NOUN
ap-951	880	23	4.4	4.4	NUM
ap-951	880	24	.	.	PUNCT
ap-951	881	1	it	it	PRON
ap-951	881	2	is	be	AUX
ap-951	881	3	so	so	ADV
ap-951	881	4	-	-	PUNCT
ap-951	881	5	called	call	VERB
ap-951	881	6	tyurin	tyurin	NOUN
ap-951	881	7	parametrization	parametrization	NOUN
ap-951	881	8	[	[	X
ap-951	881	9	64	64	NUM
ap-951	881	10	]	]	PUNCT
ap-951	881	11	.	.	PUNCT
ap-951	882	1	this	this	DET
ap-951	882	2	construction	construction	NOUN
ap-951	882	3	was	be	AUX
ap-951	882	4	applied	apply	VERB
ap-951	882	5	to	to	PART
ap-951	882	6	describe	describe	VERB
ap-951	882	7	higgs	higgs	NOUN
ap-951	882	8	bundles	bundle	NOUN
ap-951	882	9	and	and	CCONJ
ap-951	882	10	integrable	integrable	ADJ
ap-951	882	11	systems	system	NOUN
ap-951	882	12	related	relate	VERB
ap-951	882	13	to	to	ADP
ap-951	882	14	a	a	DET
ap-951	882	15	curve	curve	NOUN
ap-951	882	16	of	of	ADP
ap-951	882	17	arbitrary	arbitrary	ADJ
ap-951	882	18	genus	genus	NOUN
ap-951	882	19	in	in	ADP
ap-951	882	20	ref	ref	NOUN
ap-951	882	21	.	.	PUNCT
ap-951	883	1	[	[	X
ap-951	883	2	10	10	NUM
ap-951	883	3	,	,	PUNCT
ap-951	883	4	65	65	NUM
ap-951	883	5	,	,	PUNCT
ap-951	883	6	66	66	NUM
ap-951	883	7	]	]	PUNCT
ap-951	883	8	.	.	PUNCT
ap-951	884	1	using	use	VERB
ap-951	884	2	this	this	DET
ap-951	884	3	approach	approach	NOUN
ap-951	884	4	classical	classical	ADJ
ap-951	884	5	r	r	NOUN
ap-951	884	6	-	-	PUNCT
ap-951	884	7	matrices	matrix	NOUN
ap-951	884	8	with	with	ADP
ap-951	884	9	a	a	DET
ap-951	884	10	spectral	spectral	ADJ
ap-951	884	11	parameter	parameter	NOUN
ap-951	884	12	living	live	VERB
ap-951	884	13	on	on	ADP
ap-951	884	14	curves	curve	NOUN
ap-951	884	15	of	of	ADP
ap-951	884	16	arbitrary	arbitrary	ADJ
ap-951	884	17	genus	genus	NOUN
ap-951	884	18	were	be	AUX
ap-951	884	19	constructed	construct	VERB
ap-951	884	20	in	in	ADP
ap-951	884	21	ref	ref	NOUN
ap-951	884	22	.	.	PUNCT
ap-951	885	1	[	[	X
ap-951	885	2	67	67	NUM
ap-951	885	3	]	]	PUNCT
ap-951	885	4	.	.	PUNCT
ap-951	886	1	references	reference	NOUN
ap-951	886	2	[	[	X
ap-951	886	3	1	1	NUM
ap-951	886	4	]	]	X
ap-951	886	5	hitchin	hitchin	X
ap-951	886	6	,	,	PUNCT
ap-951	886	7	n.	n.	NOUN
ap-951	886	8	:	:	PUNCT
ap-951	886	9	stable	stable	ADJ
ap-951	886	10	bundles	bundle	NOUN
ap-951	886	11	and	and	CCONJ
ap-951	886	12	integrable	integrable	ADJ
ap-951	886	13	systems	system	NOUN
ap-951	886	14	.	.	PUNCT
ap-951	887	1	duke	duke	PROPN
ap-951	887	2	math	math	PROPN
ap-951	887	3	.	.	PUNCT
ap-951	888	1	jour	jour	PROPN
ap-951	888	2	.	.	PUNCT
ap-951	888	3	vol	vol	NOUN
ap-951	888	4	.	.	PROPN
ap-951	889	1	54	54	NUM
ap-951	889	2	(	(	PUNCT
ap-951	889	3	1987	1987	NUM
ap-951	889	4	)	)	PUNCT
ap-951	889	5	,	,	PUNCT
ap-951	890	1	p.	p.	NOUN
ap-951	890	2	91–114	91–114	NUM
ap-951	890	3	.	.	PUNCT
ap-951	891	1	[	[	X
ap-951	891	2	2	2	NUM
ap-951	891	3	]	]	X
ap-951	891	4	hitchin	hitchin	X
ap-951	891	5	,	,	PUNCT
ap-951	891	6	n.	n.	NOUN
ap-951	891	7	:	:	PUNCT
ap-951	891	8	the	the	DET
ap-951	891	9	self	self	NOUN
ap-951	891	10	-	-	PUNCT
ap-951	891	11	duality	duality	NOUN
ap-951	891	12	equations	equation	NOUN
ap-951	891	13	on	on	ADP
ap-951	891	14	a	a	DET
ap-951	891	15	riemann	riemann	PROPN
ap-951	891	16	surface	surface	NOUN
ap-951	891	17	.	.	PUNCT
ap-951	892	1	proc	proc	PROPN
ap-951	892	2	.	.	PUNCT
ap-951	893	1	london	london	PROPN
ap-951	893	2	math	math	PROPN
ap-951	893	3	.	.	PUNCT
ap-951	894	1	soc	soc	PROPN
ap-951	894	2	,	,	PUNCT
ap-951	894	3	.	.	PUNCT
ap-951	895	1	vol	vol	NOUN
ap-951	895	2	.	.	PUNCT
ap-951	896	1	55	55	NUM
ap-951	896	2	(	(	PUNCT
ap-951	896	3	1987	1987	NUM
ap-951	896	4	)	)	PUNCT
ap-951	896	5	,	,	PUNCT
ap-951	896	6	59–126	59–126	X
ap-951	896	7	.	.	PUNCT
ap-951	897	1	[	[	X
ap-951	897	2	3	3	NUM
ap-951	897	3	]	]	X
ap-951	897	4	hurtubise	hurtubise	PROPN
ap-951	897	5	,	,	PUNCT
ap-951	897	6	j.	j.	PROPN
ap-951	897	7	:	:	PUNCT
ap-951	897	8	integrable	integrable	ADJ
ap-951	897	9	systems	system	NOUN
ap-951	897	10	and	and	CCONJ
ap-951	897	11	algebraic	algebraic	ADJ
ap-951	897	12	surfaces	surface	NOUN
ap-951	897	13	.	.	PUNCT
ap-951	898	1	duke	duke	PROPN
ap-951	898	2	math	math	PROPN
ap-951	898	3	.	.	PUNCT
ap-951	899	1	journ	journ	PROPN
ap-951	899	2	.	.	PUNCT
ap-951	900	1	,	,	PUNCT
ap-951	900	2	vol	vol	NOUN
ap-951	900	3	.	.	PROPN
ap-951	900	4	83	83	NUM
ap-951	900	5	(	(	PUNCT
ap-951	900	6	1996	1996	NUM
ap-951	900	7	)	)	PUNCT
ap-951	900	8	,	,	PUNCT
ap-951	900	9	19–50	19–50	NUM
ap-951	900	10	.	.	PUNCT
ap-951	901	1	[	[	X
ap-951	901	2	4	4	NUM
ap-951	901	3	]	]	PUNCT
ap-951	901	4	gorsky	gorsky	NOUN
ap-951	901	5	,	,	PUNCT
ap-951	901	6	a.	a.	NOUN
ap-951	901	7	,	,	PUNCT
ap-951	901	8	nekrasov	nekrasov	NOUN
ap-951	901	9	,	,	PUNCT
ap-951	901	10	n.	n.	NOUN
ap-951	901	11	,	,	PUNCT
ap-951	901	12	rubtsov	rubtsov	NOUN
ap-951	901	13	,	,	PUNCT
ap-951	901	14	v.	v.	ADP
ap-951	901	15	:	:	PUNCT
ap-951	901	16	hilbert	hilbert	NOUN
ap-951	901	17	schemes	scheme	NOUN
ap-951	901	18	,	,	PUNCT
ap-951	901	19	separated	separate	VERB
ap-951	901	20	variables	variable	NOUN
ap-951	901	21	,	,	PUNCT
ap-951	901	22	and	and	CCONJ
ap-951	901	23	d	d	X
ap-951	901	24	-	-	NOUN
ap-951	901	25	branes	brane	NOUN
ap-951	901	26	.	.	PUNCT
ap-951	902	1	commun	commun	PROPN
ap-951	902	2	.	.	PUNCT
ap-951	903	1	math	math	NOUN
ap-951	903	2	.	.	PUNCT
ap-951	904	1	phys	phy	NOUN
ap-951	904	2	.	.	PUNCT
ap-951	904	3	,	,	PUNCT
ap-951	904	4	vol	vol	NOUN
ap-951	904	5	.	.	PROPN
ap-951	904	6	222	222	NUM
ap-951	904	7	(	(	PUNCT
ap-951	904	8	2001	2001	NUM
ap-951	904	9	)	)	PUNCT
ap-951	904	10	,	,	PUNCT
ap-951	905	1	p.	p.	NOUN
ap-951	905	2	299–318	299–318	NUM
ap-951	905	3	.	.	PUNCT
ap-951	906	1	[	[	X
ap-951	906	2	5	5	NUM
ap-951	906	3	]	]	PUNCT
ap-951	906	4	markman	markman	NOUN
ap-951	906	5	,	,	PUNCT
ap-951	906	6	e.	e.	PROPN
ap-951	906	7	:	:	PUNCT
ap-951	906	8	spectral	spectral	ADJ
ap-951	906	9	curves	curve	NOUN
ap-951	906	10	and	and	CCONJ
ap-951	906	11	integrable	integrable	ADJ
ap-951	906	12	systems	system	NOUN
ap-951	906	13	.	.	PUNCT
ap-951	907	1	comp	comp	PROPN
ap-951	907	2	.	.	PUNCT
ap-951	908	1	math	math	NOUN
ap-951	908	2	.	.	PUNCT
ap-951	909	1	,	,	PUNCT
ap-951	909	2	vol	vol	NOUN
ap-951	909	3	.	.	PUNCT
ap-951	910	1	93	93	NUM
ap-951	910	2	(	(	PUNCT
ap-951	910	3	1994	1994	NUM
ap-951	910	4	)	)	PUNCT
ap-951	910	5	,	,	PUNCT
ap-951	911	1	p.	p.	NOUN
ap-951	911	2	255–290	255–290	NUM
ap-951	911	3	.	.	PUNCT
ap-951	912	1	[	[	X
ap-951	912	2	6	6	NUM
ap-951	912	3	]	]	PUNCT
ap-951	912	4	gorsky	gorsky	NOUN
ap-951	912	5	,	,	PUNCT
ap-951	912	6	a.	a.	NOUN
ap-951	912	7	,	,	PUNCT
ap-951	912	8	nekrasov	nekrasov	NOUN
ap-951	912	9	,	,	PUNCT
ap-951	912	10	n.	n.	NOUN
ap-951	912	11	:	:	PUNCT
ap-951	912	12	elliptic	elliptic	ADJ
ap-951	912	13	calogero	calogero	PROPN
ap-951	912	14	-	-	PUNCT
ap-951	912	15	moser	moser	PROPN
ap-951	912	16	system	system	NOUN
ap-951	912	17	from	from	ADP
ap-951	912	18	two	two	NUM
ap-951	912	19	dimensional	dimensional	ADJ
ap-951	912	20	current	current	ADJ
ap-951	912	21	algebra	algebra	NOUN
ap-951	912	22	.	.	PUNCT
ap-951	913	1	[	[	X
ap-951	913	2	hep	hep	NOUN
ap-951	913	3	-	-	PUNCT
ap-951	913	4	th/9401021	th/9401021	NOUN
ap-951	913	5	]	]	X
ap-951	913	6	.	.	PUNCT
ap-951	914	1	[	[	X
ap-951	914	2	7	7	NUM
ap-951	914	3	]	]	SYM
ap-951	914	4	enriquez	enriquez	PROPN
ap-951	914	5	,	,	PUNCT
ap-951	914	6	b.	b.	PROPN
ap-951	914	7	,	,	PUNCT
ap-951	914	8	rubtsov	rubtsov	PROPN
ap-951	914	9	,	,	PUNCT
ap-951	914	10	v.	v.	ADP
ap-951	914	11	:	:	PUNCT
ap-951	914	12	hitchin	hitchin	PROPN
ap-951	914	13	systems	system	NOUN
ap-951	914	14	,	,	PUNCT
ap-951	914	15	higher	high	ADJ
ap-951	914	16	gaudin	gaudin	NOUN
ap-951	914	17	operators	operator	NOUN
ap-951	914	18	and	and	CCONJ
ap-951	914	19	r	r	NOUN
ap-951	914	20	-	-	PUNCT
ap-951	914	21	matrices	matrix	NOUN
ap-951	914	22	.	.	PUNCT
ap-951	915	1	math	math	NOUN
ap-951	915	2	.	.	PUNCT
ap-951	916	1	res	re	NOUN
ap-951	916	2	.	.	PROPN
ap-951	916	3	letter	letter	PROPN
ap-951	916	4	,	,	PUNCT
ap-951	916	5	vol	vol	NOUN
ap-951	916	6	.	.	PROPN
ap-951	916	7	3	3	NUM
ap-951	916	8	(	(	PUNCT
ap-951	916	9	1996	1996	NUM
ap-951	916	10	)	)	PUNCT
ap-951	916	11	,	,	PUNCT
ap-951	917	1	p.	p.	NOUN
ap-951	917	2	343–357	343–357	NUM
ap-951	917	3	.	.	PUNCT
ap-951	918	1	[	[	X
ap-951	918	2	8	8	NUM
ap-951	918	3	]	]	X
ap-951	918	4	levin	levin	PROPN
ap-951	918	5	,	,	PUNCT
ap-951	918	6	a.	a.	PROPN
ap-951	918	7	,	,	PUNCT
ap-951	918	8	olshanetsky	olshanetsky	NOUN
ap-951	918	9	,	,	PUNCT
ap-951	918	10	m.	m.	NOUN
ap-951	918	11	:	:	PUNCT
ap-951	918	12	isomonodromic	isomonodromic	NOUN
ap-951	918	13	deformations	deformation	NOUN
ap-951	918	14	and	and	CCONJ
ap-951	918	15	hitchin	hitchin	PROPN
ap-951	918	16	systems	system	NOUN
ap-951	918	17	.	.	PUNCT
ap-951	919	1	amer	amer	PROPN
ap-951	919	2	.	.	PUNCT
ap-951	919	3	math	math	PROPN
ap-951	919	4	.	.	PUNCT
ap-951	920	1	soc.transl	soc.transl	PROPN
ap-951	920	2	.	.	PUNCT
ap-951	921	1	(	(	PUNCT
ap-951	921	2	2	2	NUM
ap-951	921	3	)	)	PUNCT
ap-951	921	4	,	,	PUNCT
ap-951	921	5	vol	vol	NOUN
ap-951	921	6	.	.	PROPN
ap-951	921	7	191	191	NUM
ap-951	921	8	(	(	PUNCT
ap-951	921	9	1999	1999	NUM
ap-951	921	10	)	)	PUNCT
ap-951	921	11	,	,	PUNCT
ap-951	922	1	p.	p.	NOUN
ap-951	922	2	223–262	223–262	NUM
ap-951	922	3	.	.	PUNCT
ap-951	923	1	[	[	X
ap-951	923	2	9	9	NUM
ap-951	923	3	]	]	SYM
ap-951	923	4	nekrasov	nekrasov	NOUN
ap-951	923	5	,	,	PUNCT
ap-951	923	6	n.	n.	NOUN
ap-951	923	7	:	:	PUNCT
ap-951	923	8	holomorphic	holomorphic	ADJ
ap-951	923	9	bundles	bundle	NOUN
ap-951	923	10	and	and	CCONJ
ap-951	923	11	many	many	ADJ
ap-951	923	12	-	-	PUNCT
ap-951	923	13	body	body	NOUN
ap-951	923	14	systems	system	NOUN
ap-951	923	15	.	.	PUNCT
ap-951	924	1	commun	commun	PROPN
ap-951	924	2	.	.	PUNCT
ap-951	925	1	math	math	NOUN
ap-951	925	2	.	.	PUNCT
ap-951	926	1	phys	phy	NOUN
ap-951	926	2	.	.	PUNCT
ap-951	926	3	,	,	PUNCT
ap-951	926	4	vol	vol	NOUN
ap-951	926	5	.	.	PROPN
ap-951	926	6	180	180	NUM
ap-951	926	7	(	(	PUNCT
ap-951	926	8	1996	1996	NUM
ap-951	926	9	)	)	PUNCT
ap-951	926	10	,	,	PUNCT
ap-951	927	1	p.	p.	NOUN
ap-951	927	2	587–604	587–604	NUM
ap-951	927	3	,	,	PUNCT
ap-951	927	4	[	[	X
ap-951	927	5	hep	hep	NOUN
ap-951	927	6	-	-	NOUN
ap-951	927	7	th/9503157	th/9503157	NOUN
ap-951	927	8	]	]	X
ap-951	927	9	.	.	PUNCT
ap-951	928	1	[	[	X
ap-951	928	2	10	10	NUM
ap-951	928	3	]	]	X
ap-951	928	4	krichever	krichever	NOUN
ap-951	928	5	,	,	PUNCT
ap-951	928	6	i.	i.	NOUN
ap-951	928	7	:	:	PUNCT
ap-951	928	8	vector	vector	NOUN
ap-951	928	9	bundles	bundle	NOUN
ap-951	928	10	and	and	CCONJ
ap-951	928	11	lax	lax	ADJ
ap-951	928	12	equations	equation	NOUN
ap-951	928	13	on	on	ADP
ap-951	928	14	algebraic	algebraic	ADJ
ap-951	928	15	curves	curve	NOUN
ap-951	928	16	.	.	PUNCT
ap-951	929	1	commun	commun	PROPN
ap-951	929	2	.	.	PUNCT
ap-951	930	1	math	math	NOUN
ap-951	930	2	.	.	PUNCT
ap-951	931	1	phys	phy	NOUN
ap-951	931	2	.	.	PUNCT
ap-951	931	3	,	,	PUNCT
ap-951	931	4	vol	vol	NOUN
ap-951	931	5	.	.	PROPN
ap-951	931	6	229	229	NUM
ap-951	931	7	(	(	PUNCT
ap-951	931	8	2002	2002	NUM
ap-951	931	9	)	)	PUNCT
ap-951	931	10	,	,	PUNCT
ap-951	932	1	p.	p.	NOUN
ap-951	932	2	229–269	229–269	NUM
ap-951	932	3	,	,	PUNCT
ap-951	932	4	[	[	X
ap-951	932	5	hep	hep	NOUN
ap-951	932	6	-	-	PROPN
ap-951	932	7	th/0108110	th/0108110	NOUN
ap-951	932	8	]	]	X
ap-951	932	9	.	.	PUNCT
ap-951	933	1	[	[	X
ap-951	933	2	11	11	NUM
ap-951	933	3	]	]	X
ap-951	933	4	levin	levin	PROPN
ap-951	933	5	,	,	PUNCT
ap-951	933	6	a.	a.	PROPN
ap-951	933	7	,	,	PUNCT
ap-951	933	8	olshanetsky	olshanetsky	NOUN
ap-951	933	9	,	,	PUNCT
ap-951	933	10	m.	m.	NOUN
ap-951	933	11	,	,	PUNCT
ap-951	933	12	zotov	zotov	PROPN
ap-951	933	13	,	,	PUNCT
ap-951	933	14	a.	a.	NOUN
ap-951	933	15	:	:	PUNCT
ap-951	933	16	hitchin	hitchin	PROPN
ap-951	933	17	systems	system	NOUN
ap-951	933	18	–	–	PUNCT
ap-951	933	19	symplectic	symplectic	ADJ
ap-951	933	20	hecke	hecke	NOUN
ap-951	933	21	correspondence	correspondence	NOUN
ap-951	933	22	and	and	CCONJ
ap-951	933	23	two	two	NUM
ap-951	933	24	-	-	PUNCT
ap-951	933	25	dimensional	dimensional	ADJ
ap-951	933	26	version	version	NOUN
ap-951	933	27	.	.	PUNCT
ap-951	934	1	comm	comm	NOUN
ap-951	934	2	.	.	PUNCT
ap-951	934	3	math	math	NOUN
ap-951	934	4	.	.	PUNCT
ap-951	935	1	phys	phy	NOUN
ap-951	935	2	.	.	PUNCT
ap-951	935	3	,	,	PUNCT
ap-951	935	4	vol	vol	NOUN
ap-951	935	5	.	.	PROPN
ap-951	935	6	236	236	NUM
ap-951	935	7	(	(	PUNCT
ap-951	935	8	2003	2003	NUM
ap-951	935	9	)	)	PUNCT
ap-951	935	10	,	,	PUNCT
ap-951	935	11	p.	p.	NOUN
ap-951	935	12	93–133	93–133	NUM
ap-951	935	13	.	.	PUNCT
ap-951	936	1	[	[	X
ap-951	936	2	12	12	NUM
ap-951	936	3	]	]	X
ap-951	936	4	levin	levin	PROPN
ap-951	936	5	,	,	PUNCT
ap-951	936	6	a.	a.	PROPN
ap-951	936	7	,	,	PUNCT
ap-951	936	8	olshanetsky	olshanetsky	NOUN
ap-951	936	9	,	,	PUNCT
ap-951	936	10	m.	m.	NOUN
ap-951	936	11	,	,	PUNCT
ap-951	936	12	zotov	zotov	PROPN
ap-951	936	13	,	,	PUNCT
ap-951	936	14	a.	a.	NOUN
ap-951	936	15	:	:	PUNCT
ap-951	936	16	painleve	painleve	PROPN
ap-951	936	17	vi	vi	PROPN
ap-951	936	18	,	,	PUNCT
ap-951	936	19	rigid	rigid	ADJ
ap-951	936	20	tops	top	NOUN
ap-951	936	21	and	and	CCONJ
ap-951	936	22	reflection	reflection	NOUN
ap-951	936	23	equation	equation	NOUN
ap-951	936	24	.	.	PUNCT
ap-951	937	1	commun	commun	PROPN
ap-951	937	2	.	.	PUNCT
ap-951	938	1	math	math	NOUN
ap-951	938	2	.	.	PUNCT
ap-951	939	1	phys	phy	NOUN
ap-951	939	2	.	.	PUNCT
ap-951	939	3	,	,	PUNCT
ap-951	939	4	vol	vol	NOUN
ap-951	939	5	.	.	PROPN
ap-951	939	6	268	268	NUM
ap-951	939	7	(	(	PUNCT
ap-951	939	8	2006	2006	NUM
ap-951	939	9	)	)	PUNCT
ap-951	939	10	,	,	PUNCT
ap-951	939	11	p.	p.	NOUN
ap-951	939	12	67–103	67–103	NUM
ap-951	939	13	.	.	PUNCT
ap-951	940	1	[	[	X
ap-951	940	2	13	13	NUM
ap-951	940	3	]	]	PUNCT
ap-951	940	4	gorsky	gorsky	NOUN
ap-951	940	5	,	,	PUNCT
ap-951	940	6	a.	a.	NOUN
ap-951	940	7	,	,	PUNCT
ap-951	940	8	krichever	krichever	NOUN
ap-951	940	9	,	,	PUNCT
ap-951	940	10	i.	i.	PROPN
ap-951	940	11	,	,	PUNCT
ap-951	940	12	marshakov	marshakov	PROPN
ap-951	940	13	,	,	PUNCT
ap-951	940	14	a.	a.	NOUN
ap-951	940	15	,	,	PUNCT
ap-951	940	16	a.	a.	NOUN
ap-951	940	17	mironov	mironov	PROPN
ap-951	940	18	,	,	PUNCT
ap-951	940	19	a.	a.	NOUN
ap-951	940	20	,	,	PUNCT
ap-951	940	21	morozov	morozov	NOUN
ap-951	940	22	,	,	PUNCT
ap-951	940	23	a.	a.	NOUN
ap-951	940	24	:	:	PUNCT
ap-951	940	25	integrability	integrability	NOUN
ap-951	940	26	and	and	CCONJ
ap-951	940	27	seiberg	seiberg	PROPN
ap-951	940	28	-	-	PUNCT
ap-951	940	29	witten	witten	VERB
ap-951	940	30	exact	exact	ADJ
ap-951	940	31	solution	solution	NOUN
ap-951	940	32	.	.	PUNCT
ap-951	941	1	phys	phy	NOUN
ap-951	941	2	.	.	PUNCT
ap-951	942	1	lett	lett	PROPN
ap-951	942	2	.	.	PUNCT
ap-951	943	1	b	b	X
ap-951	943	2	,	,	PUNCT
ap-951	943	3	vol	vol	NOUN
ap-951	943	4	.	.	PROPN
ap-951	943	5	355	355	NUM
ap-951	943	6	,	,	PUNCT
ap-951	943	7	466	466	NUM
ap-951	943	8	(	(	PUNCT
ap-951	943	9	1995	1995	NUM
ap-951	943	10	)	)	PUNCT
ap-951	943	11	,	,	PUNCT
ap-951	944	1	[	[	X
ap-951	944	2	arxiv	arxiv	NOUN
ap-951	944	3	:	:	PUNCT
ap-951	944	4	hep	hep	PROPN
ap-951	944	5	-	-	PROPN
ap-951	944	6	th/9505035	th/9505035	PROPN
ap-951	944	7	]	]	PUNCT
ap-951	944	8	.	.	PUNCT
ap-951	945	1	[	[	X
ap-951	945	2	14	14	NUM
ap-951	945	3	]	]	X
ap-951	945	4	seiberg	seiberg	PROPN
ap-951	945	5	,	,	PUNCT
ap-951	945	6	n.	n.	PROPN
ap-951	945	7	,	,	PUNCT
ap-951	945	8	witten	witten	PROPN
ap-951	945	9	,	,	PUNCT
ap-951	945	10	e.	e.	PROPN
ap-951	945	11	:	:	PUNCT
ap-951	945	12	electric	electric	ADJ
ap-951	945	13	–	–	PUNCT
ap-951	945	14	magnetic	magnetic	ADJ
ap-951	945	15	duality	duality	NOUN
ap-951	945	16	,	,	PUNCT
ap-951	945	17	monopole	monopole	ADJ
ap-951	945	18	condensation	condensation	NOUN
ap-951	945	19	,	,	PUNCT
ap-951	945	20	and	and	CCONJ
ap-951	945	21	confinement	confinement	NOUN
ap-951	945	22	in	in	ADP
ap-951	945	23	n=2	n=2	X
ap-951	945	24	supersymmetric	supersymmetric	PROPN
ap-951	945	25	yang	yang	PROPN
ap-951	945	26	-	-	PUNCT
ap-951	945	27	mills	mill	NOUN
ap-951	945	28	theory	theory	NOUN
ap-951	945	29	.	.	PUNCT
ap-951	946	1	nucl	nucl	PROPN
ap-951	946	2	.	.	PUNCT
ap-951	947	1	phys	phy	NOUN
ap-951	947	2	.	.	PUNCT
ap-951	948	1	b	b	X
ap-951	948	2	,	,	PUNCT
ap-951	948	3	vol	vol	NOUN
ap-951	948	4	.	.	PROPN
ap-951	949	1	426	426	NUM
ap-951	949	2	(	(	PUNCT
ap-951	949	3	1994	1994	NUM
ap-951	949	4	)	)	PUNCT
ap-951	949	5	,	,	PUNCT
ap-951	950	1	p.	p.	NOUN
ap-951	950	2	19–52	19–52	NUM
ap-951	951	1	[	[	X
ap-951	951	2	erratum	erratum	NOUN
ap-951	951	3	-	-	PUNCT
ap-951	951	4	ibid	ibid	NOUN
ap-951	951	5	.	.	PUNCT
ap-951	952	1	b	b	X
ap-951	952	2	vol	vol	NOUN
ap-951	952	3	.	.	PROPN
ap-951	952	4	430	430	NUM
ap-951	952	5	,	,	PUNCT
ap-951	952	6	485(1994	485(1994	NUM
ap-951	952	7	)	)	PUNCT
ap-951	952	8	]	]	PUNCT
ap-951	952	9	,	,	PUNCT
ap-951	952	10	[	[	X
ap-951	952	11	arxiv	arxiv	NOUN
ap-951	952	12	:	:	PUNCT
ap-951	952	13	hep	hep	NOUN
ap-951	952	14	-	-	PUNCT
ap-951	952	15	th/9407087	th/9407087	PROPN
ap-951	952	16	]	]	PUNCT
ap-951	952	17	.	.	PUNCT
ap-951	953	1	seiberg	seiberg	PROPN
ap-951	953	2	,	,	PUNCT
ap-951	953	3	n.	n.	PROPN
ap-951	953	4	,	,	PUNCT
ap-951	953	5	witten	witten	PROPN
ap-951	953	6	,	,	PUNCT
ap-951	953	7	e.	e.	PROPN
ap-951	953	8	:	:	PUNCT
ap-951	953	9	monopoles	monopole	NOUN
ap-951	953	10	,	,	PUNCT
ap-951	953	11	duality	duality	NOUN
ap-951	953	12	and	and	CCONJ
ap-951	953	13	chiral	chiral	ADJ
ap-951	953	14	symmetry	symmetry	NOUN
ap-951	953	15	breaking	break	VERB
ap-951	953	16	in	in	ADP
ap-951	953	17	n=2	n=2	X
ap-951	953	18	supersymmetric	supersymmetric	ADJ
ap-951	953	19	qcd	qcd	PROPN
ap-951	953	20	.	.	PUNCT
ap-951	953	21	nucl	nucl	PROPN
ap-951	953	22	.	.	PUNCT
ap-951	954	1	phys	phy	NOUN
ap-951	954	2	.	.	PUNCT
ap-951	955	1	b	b	X
ap-951	955	2	,	,	PUNCT
ap-951	955	3	vol	vol	NOUN
ap-951	955	4	.	.	PUNCT
ap-951	956	1	431	431	NUM
ap-951	956	2	(	(	PUNCT
ap-951	956	3	1994	1994	NUM
ap-951	956	4	)	)	PUNCT
ap-951	956	5	,	,	PUNCT
ap-951	957	1	p.	p.	NOUN
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ap-951	958	1	[	[	X
ap-951	958	2	arxiv	arxiv	NOUN
ap-951	958	3	:	:	PUNCT
ap-951	958	4	hep	hep	NOUN
ap-951	958	5	-	-	PUNCT
ap-951	958	6	th/9408099	th/9408099	X
ap-951	958	7	]	]	X
ap-951	958	8	.	.	PUNCT
ap-951	959	1	[	[	X
ap-951	959	2	15	15	NUM
ap-951	959	3	]	]	PUNCT
ap-951	959	4	gorsky	gorsky	NOUN
ap-951	959	5	,	,	PUNCT
ap-951	959	6	a.	a.	NOUN
ap-951	959	7	,	,	PUNCT
ap-951	959	8	mironov	mironov	PROPN
ap-951	959	9	,	,	PUNCT
ap-951	959	10	a.	a.	NOUN
ap-951	959	11	:	:	PUNCT
ap-951	959	12	integrable	integrable	VERB
ap-951	959	13	many	many	ADJ
ap-951	959	14	-	-	PUNCT
ap-951	959	15	body	body	NOUN
ap-951	959	16	systems	system	NOUN
ap-951	959	17	and	and	CCONJ
ap-951	959	18	gauge	gauge	NOUN
ap-951	959	19	theories	theory	NOUN
ap-951	959	20	.	.	PUNCT
ap-951	960	1	[	[	X
ap-951	960	2	arxiv	arxiv	NOUN
ap-951	960	3	:	:	PUNCT
ap-951	960	4	hepth/0011197	hepth/0011197	NOUN
ap-951	960	5	]	]	PUNCT
ap-951	960	6	.	.	PUNCT
ap-951	961	1	[	[	X
ap-951	961	2	16	16	NUM
ap-951	961	3	]	]	X
ap-951	961	4	kapustin	kapustin	PROPN
ap-951	961	5	,	,	PUNCT
ap-951	961	6	a.	a.	PROPN
ap-951	961	7	,	,	PUNCT
ap-951	961	8	witten	witten	PROPN
ap-951	961	9	,	,	PUNCT
ap-951	961	10	e.	e.	PROPN
ap-951	961	11	electric	electric	PROPN
ap-951	961	12	-	-	PUNCT
ap-951	961	13	magnetic	magnetic	ADJ
ap-951	961	14	duality	duality	NOUN
ap-951	961	15	and	and	CCONJ
ap-951	961	16	the	the	DET
ap-951	961	17	geometric	geometric	ADJ
ap-951	961	18	langlands	langland	NOUN
ap-951	961	19	program	program	NOUN
ap-951	961	20	.	.	PUNCT
ap-951	962	1	[	[	X
ap-951	962	2	arxiv	arxiv	NOUN
ap-951	962	3	:	:	PUNCT
ap-951	962	4	hep	hep	NOUN
ap-951	962	5	-	-	PUNCT
ap-951	962	6	th/0604151	th/0604151	NOUN
ap-951	962	7	]	]	PUNCT
ap-951	962	8	.	.	PUNCT
ap-951	963	1	[	[	X
ap-951	963	2	17	17	NUM
ap-951	963	3	]	]	PUNCT
ap-951	963	4	gukov	gukov	NOUN
ap-951	963	5	,	,	PUNCT
ap-951	963	6	s.	s.	PROPN
ap-951	963	7	,	,	PUNCT
ap-951	963	8	witten	witten	PROPN
ap-951	963	9	,	,	PUNCT
ap-951	963	10	e.	e.	PROPN
ap-951	963	11	:	:	PUNCT
ap-951	963	12	gauge	gauge	PROPN
ap-951	963	13	theory	theory	NOUN
ap-951	963	14	,	,	PUNCT
ap-951	963	15	ramification	ramification	NOUN
ap-951	963	16	,	,	PUNCT
ap-951	963	17	and	and	CCONJ
ap-951	963	18	the	the	DET
ap-951	963	19	geometric	geometric	ADJ
ap-951	963	20	langlands	langland	NOUN
ap-951	963	21	program	program	NOUN
ap-951	963	22	.	.	PUNCT
ap-951	964	1	[	[	X
ap-951	964	2	arxiv	arxiv	NOUN
ap-951	964	3	:	:	PUNCT
ap-951	964	4	hep	hep	PROPN
ap-951	964	5	-	-	PUNCT
ap-951	964	6	th/0612073	th/0612073	PROPN
ap-951	964	7	]	]	PUNCT
ap-951	964	8	.	.	PUNCT
ap-951	965	1	[	[	X
ap-951	965	2	18	18	NUM
ap-951	965	3	]	]	PUNCT
ap-951	965	4	witten	witten	PROPN
ap-951	965	5	,	,	PUNCT
ap-951	965	6	e.	e.	PROPN
ap-951	965	7	:	:	PUNCT
ap-951	965	8	gauge	gauge	PROPN
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ap-951	965	10	and	and	CCONJ
ap-951	965	11	wild	wild	ADJ
ap-951	965	12	ramification	ramification	NOUN
ap-951	965	13	.	.	PUNCT
ap-951	966	1	[	[	X
ap-951	966	2	arxiv	arxiv	NOUN
ap-951	966	3	:	:	PUNCT
ap-951	966	4	hep	hep	PROPN
ap-951	966	5	-	-	PROPN
ap-951	966	6	th/07100631	th/07100631	PRON
ap-951	966	7	]	]	PUNCT
ap-951	966	8	.	.	PUNCT
ap-951	967	1	[	[	X
ap-951	967	2	19	19	NUM
ap-951	967	3	]	]	PUNCT
ap-951	967	4	olshanetsky	olshanetsky	NOUN
ap-951	967	5	,	,	PUNCT
ap-951	967	6	m.	m.	NOUN
ap-951	967	7	,	,	PUNCT
ap-951	967	8	perelomov	perelomov	NOUN
ap-951	967	9	,	,	PUNCT
ap-951	967	10	a.	a.	NOUN
ap-951	967	11	:	:	PUNCT
ap-951	967	12	classical	classical	ADJ
ap-951	967	13	integrable	integrable	ADJ
ap-951	967	14	finite	finite	ADJ
ap-951	967	15	-	-	ADJ
ap-951	967	16	dimensional	dimensional	ADJ
ap-951	967	17	systems	system	NOUN
ap-951	967	18	related	relate	VERB
ap-951	967	19	to	to	PART
ap-951	967	20	lie	lie	VERB
ap-951	967	21	algebras	algebra	NOUN
ap-951	967	22	,	,	PUNCT
ap-951	967	23	physics	physics	NOUN
ap-951	967	24	reports	report	NOUN
ap-951	967	25	,	,	PUNCT
ap-951	967	26	vol	vol	NOUN
ap-951	967	27	.	.	PUNCT
ap-951	968	1	71	71	NUM
ap-951	968	2	(	(	PUNCT
ap-951	968	3	1981	1981	NUM
ap-951	968	4	)	)	PUNCT
ap-951	968	5	,	,	PUNCT
ap-951	969	1	p.	p.	NOUN
ap-951	969	2	313–400	313–400	NUM
ap-951	969	3	.	.	PUNCT
ap-951	970	1	[	[	X
ap-951	970	2	20	20	NUM
ap-951	970	3	]	]	SYM
ap-951	970	4	donagi	donagi	NOUN
ap-951	970	5	,	,	PUNCT
ap-951	970	6	r.	r.	PROPN
ap-951	970	7	:	:	PUNCT
ap-951	970	8	siebrg	siebrg	NOUN
ap-951	970	9	-	-	PUNCT
ap-951	970	10	witten	witten	PROPN
ap-951	970	11	integrable	integrable	ADJ
ap-951	970	12	systems	system	NOUN
ap-951	970	13	,	,	PUNCT
ap-951	970	14	[	[	X
ap-951	970	15	arxiv	arxiv	NOUN
ap-951	970	16	:	:	PUNCT
ap-951	970	17	alg	alg	PROPN
ap-951	970	18	-	-	PUNCT
ap-951	970	19	geom/9705010	geom/9705010	PROPN
ap-951	970	20	]	]	PUNCT
ap-951	970	21	.	.	PUNCT
ap-951	971	1	[	[	X
ap-951	971	2	21	21	NUM
ap-951	971	3	]	]	PUNCT
ap-951	971	4	etingof	etingof	NOUN
ap-951	971	5	,	,	PUNCT
ap-951	971	6	p.	p.	NOUN
ap-951	971	7	:	:	PUNCT
ap-951	971	8	lectures	lecture	NOUN
ap-951	971	9	on	on	ADP
ap-951	971	10	calogero	calogero	PROPN
ap-951	971	11	-	-	PUNCT
ap-951	971	12	moser	moser	PROPN
ap-951	971	13	systems	systems	PROPN
ap-951	971	14	,	,	PUNCT
ap-951	971	15	[	[	X
ap-951	971	16	arxiv	arxiv	NOUN
ap-951	971	17	:	:	PUNCT
ap-951	971	18	math/0606233	math/0606233	PROPN
ap-951	971	19	]	]	PUNCT
ap-951	971	20	.	.	PUNCT
ap-951	972	1	[	[	X
ap-951	972	2	22	22	NUM
ap-951	972	3	]	]	X
ap-951	972	4	zotov	zotov	NOUN
ap-951	972	5	,	,	PUNCT
ap-951	972	6	a.	a.	NOUN
ap-951	972	7	:	:	PUNCT
ap-951	972	8	classical	classical	ADJ
ap-951	972	9	integrable	integrable	ADJ
ap-951	972	10	systems	system	NOUN
ap-951	972	11	and	and	CCONJ
ap-951	972	12	their	their	PRON
ap-951	972	13	field	field	NOUN
ap-951	972	14	-	-	PUNCT
ap-951	972	15	theoretical	theoretical	ADJ
ap-951	972	16	generalizations	generalization	NOUN
ap-951	972	17	,	,	PUNCT
ap-951	972	18	phys	phy	NOUN
ap-951	972	19	.	.	PUNCT
ap-951	973	1	part	part	NOUN
ap-951	973	2	.	.	PUNCT
ap-951	974	1	nucl	nucl	PROPN
ap-951	974	2	.	.	PUNCT
ap-951	975	1	vol	vol	NOUN
ap-951	975	2	.	.	PUNCT
ap-951	976	1	37	37	NUM
ap-951	976	2	(	(	PUNCT
ap-951	976	3	2006	2006	NUM
ap-951	976	4	)	)	PUNCT
ap-951	976	5	,	,	PUNCT
ap-951	977	1	p.	p.	NOUN
ap-951	977	2	400–443	400–443	NUM
ap-951	977	3	;	;	PUNCT
ap-951	977	4	fiz	fiz	PROPN
ap-951	977	5	.	.	PUNCT
ap-951	977	6	elem	elem	NOUN
ap-951	977	7	.	.	PUNCT
ap-951	978	1	chast	chast	PROPN
ap-951	978	2	.	.	PUNCT
ap-951	979	1	atom	atom	PROPN
ap-951	979	2	.	.	PUNCT
ap-951	980	1	yadra	yadra	PROPN
ap-951	980	2	vol	vol	NOUN
ap-951	980	3	.	.	PUNCT
ap-951	981	1	37	37	NUM
ap-951	981	2	(	(	PUNCT
ap-951	981	3	2006	2006	NUM
ap-951	981	4	)	)	PUNCT
ap-951	981	5	,	,	PUNCT
ap-951	982	1	p.	p.	NOUN
ap-951	982	2	759–842	759–842	NUM
ap-951	982	3	.	.	PUNCT
ap-951	983	1	[	[	X
ap-951	983	2	23	23	NUM
ap-951	983	3	]	]	X
ap-951	983	4	g.	g.	PROPN
ap-951	983	5	t’hooft	t’hooft	PROPN
ap-951	983	6	,	,	PUNCT
ap-951	983	7	g.	g.	PROPN
ap-951	983	8	:	:	PUNCT
ap-951	983	9	on	on	ADP
ap-951	983	10	the	the	DET
ap-951	983	11	phase	phase	NOUN
ap-951	983	12	transition	transition	NOUN
ap-951	983	13	towards	towards	ADP
ap-951	983	14	permanent	permanent	ADJ
ap-951	983	15	quark	quark	NOUN
ap-951	983	16	cofinement	cofinement	NOUN
ap-951	983	17	,	,	PUNCT
ap-951	983	18	nucl	nucl	PROPN
ap-951	983	19	.	.	PUNCT
ap-951	984	1	phys	phy	NOUN
ap-951	984	2	.	.	PUNCT
ap-951	985	1	b	b	X
ap-951	985	2	,	,	PUNCT
ap-951	985	3	vol	vol	NOUN
ap-951	985	4	.	.	PROPN
ap-951	985	5	138	138	NUM
ap-951	985	6	,	,	PUNCT
ap-951	985	7	(	(	PUNCT
ap-951	985	8	1978	1978	NUM
ap-951	985	9	)	)	PUNCT
ap-951	985	10	.	.	PUNCT
ap-951	986	1	[	[	X
ap-951	986	2	24	24	NUM
ap-951	986	3	]	]	X
ap-951	986	4	kapustin	kapustin	PROPN
ap-951	986	5	,	,	PUNCT
ap-951	986	6	a.	a.	NOUN
ap-951	986	7	:	:	PUNCT
ap-951	986	8	wilson-’t	wilson-’t	NOUN
ap-951	986	9	hooft	hooft	PROPN
ap-951	986	10	operators	operator	NOUN
ap-951	986	11	in	in	ADP
ap-951	986	12	four	four	NUM
ap-951	986	13	-	-	PUNCT
ap-951	986	14	dimensional	dimensional	ADJ
ap-951	986	15	gauge	gauge	NOUN
ap-951	986	16	theories	theory	NOUN
ap-951	986	17	and	and	CCONJ
ap-951	986	18	s	s	NOUN
ap-951	986	19	-	-	NOUN
ap-951	986	20	duality	duality	NOUN
ap-951	986	21	,	,	PUNCT
ap-951	986	22	phys	phy	NOUN
ap-951	986	23	.	.	PUNCT
ap-951	987	1	rev	rev	PROPN
ap-951	987	2	.	.	PROPN
ap-951	988	1	d	d	X
ap-951	988	2	,	,	PUNCT
ap-951	988	3	vol	vol	NOUN
ap-951	988	4	.	.	PROPN
ap-951	988	5	74	74	NUM
ap-951	988	6	(	(	PUNCT
ap-951	988	7	2006	2006	NUM
ap-951	988	8	)	)	PUNCT
ap-951	988	9	,	,	PUNCT
ap-951	988	10	025005	025005	NUM
ap-951	988	11	.	.	PUNCT
ap-951	989	1	[	[	X
ap-951	989	2	25	25	NUM
ap-951	989	3	]	]	X
ap-951	989	4	baxter	baxter	PROPN
ap-951	989	5	,	,	PUNCT
ap-951	989	6	r.	r.	PROPN
ap-951	989	7	j.	j.	PROPN
ap-951	989	8	:	:	PUNCT
ap-951	989	9	eight	eight	NUM
ap-951	989	10	-	-	PUNCT
ap-951	989	11	vertex	vertex	NOUN
ap-951	989	12	model	model	NOUN
ap-951	989	13	in	in	ADP
ap-951	989	14	lattice	lattice	PROPN
ap-951	989	15	statistics	statistic	NOUN
ap-951	989	16	and	and	CCONJ
ap-951	989	17	one	one	NUM
ap-951	989	18	-	-	PUNCT
ap-951	989	19	dimensional	dimensional	ADJ
ap-951	989	20	anisotropic	anisotropic	NOUN
ap-951	989	21	heisenberg	heisenberg	PROPN
ap-951	989	22	chain	chain	NOUN
ap-951	989	23	,	,	PUNCT
ap-951	989	24	i.	i.	PROPN
ap-951	989	25	ann	ann	PROPN
ap-951	989	26	.	.	PUNCT
ap-951	990	1	phys	phys	PROPN
ap-951	990	2	.	.	PUNCT
ap-951	990	3	,	,	PUNCT
ap-951	990	4	vol	vol	NOUN
ap-951	990	5	.	.	PROPN
ap-951	991	1	76	76	NUM
ap-951	991	2	(	(	PUNCT
ap-951	991	3	1973	1973	NUM
ap-951	991	4	)	)	PUNCT
ap-951	991	5	,	,	PUNCT
ap-951	992	1	p.	p.	NOUN
ap-951	992	2	48–71	48–71	NUM
ap-951	992	3	.	.	PUNCT
ap-951	993	1	[	[	X
ap-951	993	2	26	26	NUM
ap-951	993	3	]	]	X
ap-951	993	4	e.	e.	PROPN
ap-951	993	5	date	date	PROPN
ap-951	993	6	,	,	PUNCT
ap-951	993	7	m.	m.	NOUN
ap-951	993	8	jimbo	jimbo	PROPN
ap-951	993	9	,	,	PUNCT
ap-951	993	10	t.	t.	PROPN
ap-951	993	11	miwa	miwa	PROPN
ap-951	993	12	,	,	PUNCT
ap-951	993	13	m.	m.	NOUN
ap-951	993	14	okado	okado	NOUN
ap-951	993	15	,	,	PUNCT
ap-951	993	16	fusion	fusion	NOUN
ap-951	993	17	of	of	ADP
ap-951	993	18	the	the	DET
ap-951	993	19	eight	eight	NUM
ap-951	993	20	vertex	vertex	NOUN
ap-951	993	21	sos	sos	PROPN
ap-951	993	22	model	model	PROPN
ap-951	993	23	,	,	PUNCT
ap-951	993	24	lett	lett	PROPN
ap-951	993	25	.	.	PUNCT
ap-951	994	1	math.phys	math.phy	NOUN
ap-951	994	2	.	.	PUNCT
ap-951	994	3	,	,	PUNCT
ap-951	994	4	vol	vol	NOUN
ap-951	994	5	.	.	PROPN
ap-951	994	6	12	12	NUM
ap-951	994	7	(	(	PUNCT
ap-951	994	8	1986	1986	NUM
ap-951	994	9	)	)	PUNCT
ap-951	994	10	,	,	PUNCT
ap-951	995	1	p.	p.	NOUN
ap-951	995	2	209	209	NUM
ap-951	995	3	.	.	PUNCT
ap-951	996	1	[	[	X
ap-951	996	2	27	27	NUM
ap-951	996	3	]	]	X
ap-951	996	4	arnold	arnold	PROPN
ap-951	996	5	,	,	PUNCT
ap-951	996	6	v.	v.	PROPN
ap-951	996	7	:	:	PUNCT
ap-951	996	8	mathematical	mathematical	ADJ
ap-951	996	9	methods	method	NOUN
ap-951	996	10	in	in	ADP
ap-951	996	11	classical	classical	ADJ
ap-951	996	12	mechanics	mechanic	NOUN
ap-951	996	13	.	.	PUNCT
ap-951	997	1	springer	springer	NOUN
ap-951	997	2	,	,	PUNCT
ap-951	997	3	1978	1978	NUM
ap-951	997	4	.	.	PUNCT
ap-951	998	1	22	22	NUM
ap-951	999	1	©	©	PROPN
ap-951	999	2	czech	czech	PROPN
ap-951	999	3	technical	technical	PROPN
ap-951	999	4	university	university	PROPN
ap-951	999	5	publishing	publishing	NOUN
ap-951	999	6	house	house	NOUN
ap-951	999	7	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-951	999	8	acta	acta	PROPN
ap-951	999	9	polytechnica	polytechnica	PROPN
ap-951	999	10	vol	vol	NOUN
ap-951	999	11	.	.	PUNCT
ap-951	1000	1	48	48	NUM
ap-951	1000	2	no	no	NOUN
ap-951	1000	3	.	.	PUNCT
ap-951	1001	1	2/2008	2/2008	PROPN
ap-951	1002	1	[	[	X
ap-951	1002	2	28	28	NUM
ap-951	1002	3	]	]	X
ap-951	1002	4	arutyunov	arutyunov	PROPN
ap-951	1002	5	,	,	PUNCT
ap-951	1002	6	g.	g.	PROPN
ap-951	1002	7	,	,	PUNCT
ap-951	1002	8	frolov	frolov	PROPN
ap-951	1002	9	,	,	PUNCT
ap-951	1002	10	s.	s.	PROPN
ap-951	1002	11	,	,	PUNCT
ap-951	1002	12	medvedev	medvedev	PROPN
ap-951	1002	13	,	,	PUNCT
ap-951	1002	14	p.	p.	NOUN
ap-951	1002	15	:	:	PUNCT
ap-951	1003	1	elliptic	elliptic	ADJ
ap-951	1003	2	ruijsenaars	ruijsenaar	NOUN
ap-951	1003	3	-	-	PUNCT
ap-951	1003	4	schneider	schneider	NOUN
ap-951	1003	5	model	model	NOUN
ap-951	1003	6	from	from	ADP
ap-951	1003	7	the	the	DET
ap-951	1003	8	cotangent	cotangent	NOUN
ap-951	1003	9	bundle	bundle	NOUN
ap-951	1003	10	over	over	ADP
ap-951	1003	11	the	the	DET
ap-951	1003	12	two	two	NUM
ap-951	1003	13	-	-	PUNCT
ap-951	1003	14	dimensional	dimensional	ADJ
ap-951	1003	15	current	current	ADJ
ap-951	1003	16	group	group	NOUN
ap-951	1003	17	.	.	PUNCT
ap-951	1004	1	j.	j.	PROPN
ap-951	1004	2	math	math	PROPN
ap-951	1004	3	.	.	PUNCT
ap-951	1005	1	phys	phy	NOUN
ap-951	1005	2	.	.	PUNCT
ap-951	1005	3	,	,	PUNCT
ap-951	1005	4	vol	vol	NOUN
ap-951	1005	5	.	.	PROPN
ap-951	1005	6	38	38	NUM
ap-951	1005	7	(	(	PUNCT
ap-951	1005	8	1997	1997	NUM
ap-951	1005	9	)	)	PUNCT
ap-951	1005	10	,	,	PUNCT
ap-951	1005	11	p.	p.	NOUN
ap-951	1005	12	5682–5689	5682–5689	NUM
ap-951	1005	13	.	.	PUNCT
ap-951	1006	1	[	[	X
ap-951	1006	2	29	29	NUM
ap-951	1006	3	]	]	SYM
ap-951	1006	4	simpson	simpson	PROPN
ap-951	1006	5	,	,	PUNCT
ap-951	1006	6	c.	c.	PROPN
ap-951	1006	7	:	:	PUNCT
ap-951	1006	8	harmonic	harmonic	VERB
ap-951	1006	9	bundles	bundle	NOUN
ap-951	1006	10	on	on	ADP
ap-951	1006	11	noncompact	noncompact	ADJ
ap-951	1006	12	curves	curve	NOUN
ap-951	1006	13	,	,	PUNCT
ap-951	1006	14	journ	journ	NOUN
ap-951	1006	15	.	.	PUNCT
ap-951	1007	1	am	be	AUX
ap-951	1007	2	.	.	PUNCT
ap-951	1008	1	math	math	NOUN
ap-951	1008	2	.	.	PUNCT
ap-951	1009	1	soc	soc	PROPN
ap-951	1009	2	.	.	PUNCT
ap-951	1010	1	,	,	PUNCT
ap-951	1010	2	vol	vol	NOUN
ap-951	1010	3	.	.	PROPN
ap-951	1010	4	3	3	NUM
ap-951	1010	5	(	(	PUNCT
ap-951	1010	6	1990	1990	NUM
ap-951	1010	7	)	)	PUNCT
ap-951	1010	8	,	,	PUNCT
ap-951	1011	1	p.	p.	NOUN
ap-951	1011	2	713–770	713–770	NUM
ap-951	1011	3	.	.	PUNCT
ap-951	1012	1	[	[	X
ap-951	1012	2	30	30	NUM
ap-951	1012	3	]	]	PUNCT
ap-951	1012	4	faltings	falting	NOUN
ap-951	1012	5	,	,	PUNCT
ap-951	1012	6	g.	g.	NOUN
ap-951	1012	7	:	:	PUNCT
ap-951	1012	8	stable	stable	ADJ
ap-951	1012	9	g	g	NOUN
ap-951	1012	10	-	-	PUNCT
ap-951	1012	11	bundles	bundle	NOUN
ap-951	1012	12	and	and	CCONJ
ap-951	1012	13	projective	projective	ADJ
ap-951	1012	14	connections	connection	NOUN
ap-951	1012	15	.	.	PUNCT
ap-951	1013	1	j.	j.	PROPN
ap-951	1013	2	alg	alg	PROPN
ap-951	1013	3	.	.	PUNCT
ap-951	1014	1	geo	geo	PROPN
ap-951	1014	2	.	.	PROPN
ap-951	1014	3	,	,	PUNCT
ap-951	1014	4	vol	vol	NOUN
ap-951	1014	5	.	.	PROPN
ap-951	1014	6	2	2	NUM
ap-951	1014	7	(	(	PUNCT
ap-951	1014	8	1993	1993	NUM
ap-951	1014	9	)	)	PUNCT
ap-951	1014	10	,	,	PUNCT
ap-951	1014	11	p.	p.	NOUN
ap-951	1014	12	507–568	507–568	NUM
ap-951	1014	13	.	.	PUNCT
ap-951	1015	1	[	[	X
ap-951	1015	2	31	31	NUM
ap-951	1015	3	]	]	SYM
ap-951	1015	4	donagi	donagi	NOUN
ap-951	1015	5	,	,	PUNCT
ap-951	1015	6	r.	r.	PROPN
ap-951	1015	7	:	:	PUNCT
ap-951	1015	8	spectral	spectral	ADJ
ap-951	1015	9	covers	cover	NOUN
ap-951	1015	10	,	,	PUNCT
ap-951	1015	11	in	in	ADP
ap-951	1015	12	current	current	ADJ
ap-951	1015	13	topics	topic	NOUN
ap-951	1015	14	in	in	ADP
ap-951	1015	15	complex	complex	ADJ
ap-951	1015	16	algebraic	algebraic	ADJ
ap-951	1015	17	geometry	geometry	NOUN
ap-951	1015	18	.	.	PUNCT
ap-951	1016	1	(	(	PUNCT
ap-951	1016	2	h.	h.	PROPN
ap-951	1016	3	clemens	clemens	PROPN
ap-951	1016	4	and	and	CCONJ
ap-951	1016	5	j.	j.	PROPN
ap-951	1016	6	kollar	kollar	PROPN
ap-951	1016	7	,	,	PUNCT
ap-951	1016	8	eds	eds	PROPN
ap-951	1016	9	.	.	PROPN
ap-951	1016	10	,	,	PUNCT
ap-951	1016	11	msri	msri	VERB
ap-951	1016	12	pub	pub	NOUN
ap-951	1016	13	.	.	PUNCT
ap-951	1017	1	,	,	PUNCT
ap-951	1017	2	vol	vol	NOUN
ap-951	1017	3	.	.	PROPN
ap-951	1018	1	28	28	NUM
ap-951	1018	2	(	(	PUNCT
ap-951	1018	3	1995	1995	NUM
ap-951	1018	4	)	)	PUNCT
ap-951	1018	5	,	,	PUNCT
ap-951	1018	6	p.	p.	NOUN
ap-951	1018	7	65–86	65–86	NUM
ap-951	1018	8	,	,	PUNCT
ap-951	1018	9	[	[	X
ap-951	1018	10	arxive	arxive	NOUN
ap-951	1018	11	:	:	PUNCT
ap-951	1018	12	alg	alg	PROPN
ap-951	1018	13	-	-	PUNCT
ap-951	1018	14	geom/9505009	geom/9505009	PROPN
ap-951	1018	15	]	]	PUNCT
ap-951	1018	16	.	.	PUNCT
ap-951	1019	1	[	[	X
ap-951	1019	2	32	32	NUM
ap-951	1019	3	]	]	SYM
ap-951	1019	4	calogero	calogero	PROPN
ap-951	1019	5	,	,	PUNCT
ap-951	1019	6	f.	f.	PROPN
ap-951	1019	7	:	:	PUNCT
ap-951	1019	8	solution	solution	NOUN
ap-951	1019	9	of	of	ADP
ap-951	1019	10	the	the	DET
ap-951	1019	11	one	one	NUM
ap-951	1019	12	-	-	PUNCT
ap-951	1019	13	dimensional	dimensional	ADJ
ap-951	1019	14	n	n	CCONJ
ap-951	1019	15	-	-	PUNCT
ap-951	1019	16	body	body	NOUN
ap-951	1019	17	problem	problem	NOUN
ap-951	1019	18	with	with	ADP
ap-951	1019	19	quadratic	quadratic	ADJ
ap-951	1019	20	and/or	and/or	CCONJ
ap-951	1019	21	inversely	inversely	ADV
ap-951	1019	22	quadratic	quadratic	ADJ
ap-951	1019	23	pair	pair	NOUN
ap-951	1019	24	potentials	potential	VERB
ap-951	1019	25	.	.	PUNCT
ap-951	1020	1	j.	j.	PROPN
ap-951	1020	2	math	math	PROPN
ap-951	1020	3	.	.	PUNCT
ap-951	1021	1	phys	phy	NOUN
ap-951	1021	2	.	.	PUNCT
ap-951	1021	3	,	,	PUNCT
ap-951	1021	4	vol	vol	NOUN
ap-951	1021	5	.	.	PROPN
ap-951	1021	6	12	12	NUM
ap-951	1021	7	(	(	PUNCT
ap-951	1021	8	1971	1971	NUM
ap-951	1021	9	)	)	PUNCT
ap-951	1021	10	,	,	PUNCT
ap-951	1022	1	p.	p.	NOUN
ap-951	1022	2	419–436	419–436	NUM
ap-951	1022	3	;	;	PUNCT
ap-951	1022	4	exactly	exactly	ADV
ap-951	1022	5	solvable	solvable	ADJ
ap-951	1022	6	one	one	NUM
ap-951	1022	7	-	-	PUNCT
ap-951	1022	8	dimensional	dimensional	ADJ
ap-951	1022	9	many	many	ADJ
ap-951	1022	10	-	-	PUNCT
ap-951	1022	11	body	body	NOUN
ap-951	1022	12	problem	problem	NOUN
ap-951	1022	13	.	.	PUNCT
ap-951	1023	1	lett	lett	PROPN
ap-951	1023	2	.	.	PUNCT
ap-951	1024	1	nuovo	nuovo	PROPN
ap-951	1024	2	cim	cim	PROPN
ap-951	1024	3	.	.	PROPN
ap-951	1024	4	,	,	PUNCT
ap-951	1024	5	vol	vol	NOUN
ap-951	1024	6	.	.	PROPN
ap-951	1024	7	13	13	NUM
ap-951	1024	8	(	(	PUNCT
ap-951	1024	9	1975	1975	NUM
ap-951	1024	10	)	)	PUNCT
ap-951	1024	11	,	,	PUNCT
ap-951	1024	12	p.	p.	NOUN
ap-951	1024	13	411	411	NUM
ap-951	1024	14	.	.	PUNCT
ap-951	1025	1	[	[	X
ap-951	1025	2	33	33	NUM
ap-951	1025	3	]	]	X
ap-951	1025	4	moser	moser	PROPN
ap-951	1025	5	,	,	PUNCT
ap-951	1025	6	j.	j.	PROPN
ap-951	1025	7	:	:	PUNCT
ap-951	1025	8	three	three	NUM
ap-951	1025	9	integrable	integrable	ADJ
ap-951	1025	10	systems	system	NOUN
ap-951	1025	11	connected	connect	VERB
ap-951	1025	12	with	with	ADP
ap-951	1025	13	isospectral	isospectral	ADJ
ap-951	1025	14	deformations	deformation	NOUN
ap-951	1025	15	.	.	PUNCT
ap-951	1026	1	adv	adv	PROPN
ap-951	1026	2	.	.	PUNCT
ap-951	1026	3	math	math	PROPN
ap-951	1026	4	.	.	PUNCT
ap-951	1026	5	,	,	PUNCT
ap-951	1026	6	vol	vol	NOUN
ap-951	1026	7	.	.	PUNCT
ap-951	1027	1	16	16	NUM
ap-951	1027	2	(	(	PUNCT
ap-951	1027	3	1975	1975	NUM
ap-951	1027	4	)	)	PUNCT
ap-951	1027	5	,	,	PUNCT
ap-951	1027	6	p.	p.	NOUN
ap-951	1027	7	1	1	NUM
ap-951	1027	8	–	–	PUNCT
ap-951	1027	9	23	23	NUM
ap-951	1027	10	.	.	PUNCT
ap-951	1028	1	[	[	X
ap-951	1028	2	34	34	NUM
ap-951	1028	3	]	]	X
ap-951	1028	4	gibbons	gibbon	NOUN
ap-951	1028	5	,	,	PUNCT
ap-951	1028	6	j.	j.	PROPN
ap-951	1028	7	,	,	PUNCT
ap-951	1028	8	hermsen	hermsen	PROPN
ap-951	1028	9	,	,	PUNCT
ap-951	1028	10	t.	t.	PROPN
ap-951	1028	11	:	:	PUNCT
ap-951	1028	12	a	a	DET
ap-951	1028	13	generalization	generalization	NOUN
ap-951	1028	14	of	of	ADP
ap-951	1028	15	calogero	calogero	PROPN
ap-951	1028	16	-	-	PUNCT
ap-951	1028	17	moser	moser	PROPN
ap-951	1028	18	system	system	NOUN
ap-951	1028	19	.	.	PUNCT
ap-951	1029	1	physica	physica	PROPN
ap-951	1029	2	d	d	PROPN
ap-951	1029	3	,	,	PUNCT
ap-951	1029	4	vol	vol	NOUN
ap-951	1029	5	.	.	PUNCT
ap-951	1029	6	11d	11d	NOUN
ap-951	1029	7	(	(	PUNCT
ap-951	1029	8	1984	1984	NUM
ap-951	1029	9	)	)	PUNCT
ap-951	1029	10	,	,	PUNCT
ap-951	1029	11	p.	p.	NOUN
ap-951	1029	12	337–348	337–348	NUM
ap-951	1029	13	.	.	PUNCT
ap-951	1030	1	[	[	X
ap-951	1030	2	35	35	NUM
ap-951	1030	3	]	]	SYM
ap-951	1030	4	olshanetsky	olshanetsky	NOUN
ap-951	1030	5	,	,	PUNCT
ap-951	1030	6	m.	m.	NOUN
ap-951	1030	7	,	,	PUNCT
ap-951	1030	8	perelomov	perelomov	NOUN
ap-951	1030	9	,	,	PUNCT
ap-951	1030	10	a.	a.	NOUN
ap-951	1030	11	:	:	PUNCT
ap-951	1030	12	explicit	explicit	ADJ
ap-951	1030	13	solution	solution	NOUN
ap-951	1030	14	of	of	ADP
ap-951	1030	15	the	the	DET
ap-951	1030	16	calogero	calogero	PROPN
ap-951	1030	17	model	model	NOUN
ap-951	1030	18	in	in	ADP
ap-951	1030	19	the	the	DET
ap-951	1030	20	classical	classical	ADJ
ap-951	1030	21	case	case	NOUN
ap-951	1030	22	and	and	CCONJ
ap-951	1030	23	geodesic	geodesic	NOUN
ap-951	1030	24	flows	flow	NOUN
ap-951	1030	25	on	on	ADP
ap-951	1030	26	symmetric	symmetric	ADJ
ap-951	1030	27	space	space	NOUN
ap-951	1030	28	of	of	ADP
ap-951	1030	29	zero	zero	NUM
ap-951	1030	30	curvature	curvature	NOUN
ap-951	1030	31	.	.	PUNCT
ap-951	1031	1	lett	lett	PROPN
ap-951	1031	2	.	.	PUNCT
ap-951	1032	1	nuovo	nuovo	PROPN
ap-951	1032	2	cim	cim	PROPN
ap-951	1032	3	.	.	PUNCT
ap-951	1033	1	vol	vol	NOUN
ap-951	1033	2	.	.	PUNCT
ap-951	1034	1	16	16	NUM
ap-951	1034	2	(	(	PUNCT
ap-951	1034	3	1976	1976	NUM
ap-951	1034	4	)	)	PUNCT
ap-951	1034	5	,	,	PUNCT
ap-951	1035	1	p.	p.	NOUN
ap-951	1035	2	333–339	333–339	NUM
ap-951	1035	3	.	.	PUNCT
ap-951	1036	1	[	[	X
ap-951	1036	2	36	36	NUM
ap-951	1036	3	]	]	X
ap-951	1036	4	kazdan	kazdan	PROPN
ap-951	1036	5	,	,	PUNCT
ap-951	1036	6	d.	d.	PROPN
ap-951	1036	7	,	,	PUNCT
ap-951	1036	8	kostant	kostant	PROPN
ap-951	1036	9	,	,	PUNCT
ap-951	1036	10	b.	b.	PROPN
ap-951	1036	11	,	,	PUNCT
ap-951	1036	12	sternberg	sternberg	PROPN
ap-951	1036	13	,	,	PUNCT
ap-951	1036	14	s.	s.	PROPN
ap-951	1036	15	:	:	PUNCT
ap-951	1036	16	hamiltonian	hamiltonian	ADJ
ap-951	1036	17	group	group	NOUN
ap-951	1036	18	actions	action	NOUN
ap-951	1036	19	and	and	CCONJ
ap-951	1036	20	dynamical	dynamical	ADJ
ap-951	1036	21	systems	system	NOUN
ap-951	1036	22	of	of	ADP
ap-951	1036	23	calogero	calogero	PROPN
ap-951	1036	24	type	type	PROPN
ap-951	1036	25	.	.	PUNCT
ap-951	1037	1	comm	comm	NOUN
ap-951	1037	2	.	.	PUNCT
ap-951	1038	1	pure	pure	ADJ
ap-951	1038	2	and	and	CCONJ
ap-951	1038	3	appl	appl	PROPN
ap-951	1038	4	.	.	PROPN
ap-951	1038	5	math	math	PROPN
ap-951	1038	6	.	.	PUNCT
ap-951	1039	1	,	,	PUNCT
ap-951	1039	2	vol	vol	NOUN
ap-951	1039	3	.	.	PROPN
ap-951	1039	4	31	31	NUM
ap-951	1039	5	(	(	PUNCT
ap-951	1039	6	1978	1978	NUM
ap-951	1039	7	)	)	PUNCT
ap-951	1040	1	p.	p.	NOUN
ap-951	1040	2	481–507	481–507	NUM
ap-951	1040	3	.	.	PUNCT
ap-951	1041	1	[	[	X
ap-951	1041	2	37	37	NUM
ap-951	1041	3	]	]	X
ap-951	1041	4	faddeev	faddeev	PROPN
ap-951	1041	5	,	,	PUNCT
ap-951	1041	6	l.	l.	PROPN
ap-951	1041	7	,	,	PUNCT
ap-951	1041	8	slavnov	slavnov	PROPN
ap-951	1041	9	,	,	PUNCT
ap-951	1041	10	a.	a.	NOUN
ap-951	1041	11	:	:	PUNCT
ap-951	1041	12	gauge	gauge	NOUN
ap-951	1041	13	fields	field	NOUN
ap-951	1041	14	:	:	PUNCT
ap-951	1041	15	introduction	introduction	NOUN
ap-951	1041	16	to	to	ADP
ap-951	1041	17	quantum	quantum	ADJ
ap-951	1041	18	field	field	NOUN
ap-951	1041	19	theory	theory	NOUN
ap-951	1041	20	.	.	PUNCT
ap-951	1042	1	benjamin	benjamin	PROPN
ap-951	1042	2	reading	reading	PROPN
ap-951	1042	3	,	,	PUNCT
ap-951	1042	4	1980	1980	NUM
ap-951	1042	5	.	.	PUNCT
ap-951	1043	1	[	[	X
ap-951	1043	2	38	38	NUM
ap-951	1043	3	]	]	SYM
ap-951	1043	4	konopleva	konopleva	PROPN
ap-951	1043	5	,	,	PUNCT
ap-951	1043	6	n.	n.	NOUN
ap-951	1043	7	,	,	PUNCT
ap-951	1043	8	popov	popov	PROPN
ap-951	1043	9	,	,	PUNCT
ap-951	1043	10	v.	v.	ADV
ap-951	1043	11	:	:	PUNCT
ap-951	1043	12	gauge	gauge	NOUN
ap-951	1043	13	fields	field	NOUN
ap-951	1043	14	.	.	PUNCT
ap-951	1044	1	nm	nm	PRON
ap-951	1044	2	queen	queen	NOUN
ap-951	1044	3	–	–	PUNCT
ap-951	1044	4	harwood	harwood	NOUN
ap-951	1044	5	academic	academic	ADJ
ap-951	1044	6	publishers	publisher	NOUN
ap-951	1044	7	new	new	PROPN
ap-951	1044	8	york	york	PROPN
ap-951	1044	9	,	,	PUNCT
ap-951	1044	10	1981	1981	NUM
ap-951	1044	11	.	.	PUNCT
ap-951	1045	1	[	[	X
ap-951	1045	2	39	39	NUM
ap-951	1045	3	]	]	PUNCT
ap-951	1045	4	krichever	krichever	NOUN
ap-951	1045	5	,	,	PUNCT
ap-951	1045	6	i.	i.	NOUN
ap-951	1045	7	:	:	PUNCT
ap-951	1045	8	elliptic	elliptic	ADJ
ap-951	1045	9	solutions	solution	NOUN
ap-951	1045	10	of	of	ADP
ap-951	1045	11	the	the	DET
ap-951	1045	12	kadomtsev	kadomtsev	NOUN
ap-951	1045	13	-	-	PUNCT
ap-951	1045	14	petviashily	petviashily	NOUN
ap-951	1045	15	equation	equation	NOUN
ap-951	1045	16	and	and	CCONJ
ap-951	1045	17	many	many	ADJ
ap-951	1045	18	-	-	PUNCT
ap-951	1045	19	body	body	NOUN
ap-951	1045	20	problems	problem	NOUN
ap-951	1045	21	.	.	PUNCT
ap-951	1046	1	funct	funct	ADJ
ap-951	1046	2	.	.	PUNCT
ap-951	1047	1	anal	anal	PROPN
ap-951	1047	2	.	.	PUNCT
ap-951	1048	1	aplic	aplic	PROPN
ap-951	1048	2	.	.	PUNCT
ap-951	1048	3	vol	vol	NOUN
ap-951	1048	4	.	.	PROPN
ap-951	1049	1	14	14	NUM
ap-951	1049	2	(	(	PUNCT
ap-951	1049	3	1980	1980	NUM
ap-951	1049	4	)	)	PUNCT
ap-951	1049	5	,	,	PUNCT
ap-951	1049	6	p.	p.	NOUN
ap-951	1049	7	45	45	NUM
ap-951	1049	8	.	.	PUNCT
ap-951	1050	1	[	[	X
ap-951	1050	2	40	40	NUM
ap-951	1050	3	]	]	X
ap-951	1050	4	reyman	reyman	PROPN
ap-951	1050	5	,	,	PUNCT
ap-951	1050	6	a.	a.	NOUN
ap-951	1050	7	,	,	PUNCT
ap-951	1050	8	semenov	semenov	NOUN
ap-951	1050	9	-	-	PUNCT
ap-951	1050	10	tian	tian	ADJ
ap-951	1050	11	-	-	PUNCT
ap-951	1050	12	schansky	schansky	NOUN
ap-951	1050	13	,	,	PUNCT
ap-951	1050	14	m.	m.	NOUN
ap-951	1050	15	:	:	PUNCT
ap-951	1050	16	lie	lie	NOUN
ap-951	1050	17	algebras	algebra	NOUN
ap-951	1050	18	and	and	CCONJ
ap-951	1050	19	lax	lax	ADJ
ap-951	1050	20	equations	equation	NOUN
ap-951	1050	21	with	with	ADP
ap-951	1050	22	spectral	spectral	ADJ
ap-951	1050	23	parameter	parameter	NOUN
ap-951	1050	24	on	on	ADP
ap-951	1050	25	elliptic	elliptic	ADJ
ap-951	1050	26	curve	curve	NOUN
ap-951	1050	27	(	(	PUNCT
ap-951	1050	28	russian	russian	PROPN
ap-951	1050	29	)	)	PUNCT
ap-951	1050	30	.	.	PUNCT
ap-951	1051	1	zap	zap	PROPN
ap-951	1051	2	.	.	PUNCT
ap-951	1052	1	nauchn	nauchn	PROPN
ap-951	1052	2	.	.	PUNCT
ap-951	1053	1	sem	sem	PROPN
ap-951	1053	2	.	.	PUNCT
ap-951	1054	1	leningrad	leningrad	PROPN
ap-951	1054	2	.	.	PUNCT
ap-951	1055	1	otdel	otdel	PROPN
ap-951	1055	2	.	.	PROPN
ap-951	1055	3	mat	mat	PROPN
ap-951	1055	4	.	.	PROPN
ap-951	1055	5	inst	inst	PROPN
ap-951	1055	6	.	.	PROPN
ap-951	1055	7	steklov	steklov	PROPN
ap-951	1055	8	.	.	PUNCT
ap-951	1056	1	(	(	PUNCT
ap-951	1056	2	lomi	lomi	NOUN
ap-951	1056	3	)	)	PUNCT
ap-951	1056	4	150	150	NUM
ap-951	1056	5	(	(	PUNCT
ap-951	1056	6	1986	1986	NUM
ap-951	1056	7	)	)	PUNCT
ap-951	1056	8	,	,	PUNCT
ap-951	1056	9	voprosy	voprosy	NOUN
ap-951	1056	10	kvant	kvant	NOUN
ap-951	1056	11	.	.	PUNCT
ap-951	1057	1	teor	teor	PROPN
ap-951	1057	2	.	.	PUNCT
ap-951	1058	1	polya	polya	PROPN
ap-951	1058	2	i	i	PROPN
ap-951	1058	3	statist	statist	PROPN
ap-951	1058	4	.	.	PUNCT
ap-951	1059	1	fiz	fiz	PROPN
ap-951	1059	2	.	.	PROPN
ap-951	1059	3	,	,	PUNCT
ap-951	1059	4	vol	vol	NOUN
ap-951	1059	5	.	.	PROPN
ap-951	1059	6	6	6	NUM
ap-951	1059	7	p.	p.	NOUN
ap-951	1059	8	104–118	104–118	NUM
ap-951	1059	9	,	,	PUNCT
ap-951	1059	10	221	221	NUM
ap-951	1059	11	;	;	PUNCT
ap-951	1059	12	translation	translation	NOUN
ap-951	1059	13	in	in	ADP
ap-951	1059	14	journal	journal	PROPN
ap-951	1059	15	soviet	soviet	PROPN
ap-951	1059	16	math	math	PROPN
ap-951	1059	17	.	.	PUNCT
ap-951	1059	18	,	,	PUNCT
ap-951	1059	19	vol	vol	NOUN
ap-951	1059	20	.	.	PROPN
ap-951	1059	21	46	46	NUM
ap-951	1059	22	(	(	PUNCT
ap-951	1059	23	1989	1989	NUM
ap-951	1059	24	)	)	PUNCT
ap-951	1059	25	,	,	PUNCT
ap-951	1060	1	no	no	INTJ
ap-951	1060	2	.	.	NOUN
ap-951	1060	3	1	1	NUM
ap-951	1060	4	,	,	PUNCT
ap-951	1060	5	p.	p.	NOUN
ap-951	1060	6	1631–1640	1631–1640	NUM
ap-951	1060	7	.	.	PUNCT
ap-951	1061	1	[	[	X
ap-951	1061	2	41	41	NUM
ap-951	1061	3	]	]	X
ap-951	1061	4	hitchin	hitchin	PROPN
ap-951	1061	5	,	,	PUNCT
ap-951	1061	6	n.	n.	NOUN
ap-951	1061	7	,	,	PUNCT
ap-951	1061	8	karlhede	karlhede	NOUN
ap-951	1061	9	,	,	PUNCT
ap-951	1061	10	a.	a.	NOUN
ap-951	1061	11	,	,	PUNCT
ap-951	1061	12	lindström	lindström	NOUN
ap-951	1061	13	,	,	PUNCT
ap-951	1061	14	u.	u.	NOUN
ap-951	1061	15	,	,	PUNCT
ap-951	1061	16	roček	roček	NOUN
ap-951	1061	17	,	,	PUNCT
ap-951	1061	18	m.	m.	NOUN
ap-951	1061	19	:	:	PUNCT
ap-951	1061	20	hyper	hyper	ADJ
ap-951	1061	21	-	-	ADJ
ap-951	1061	22	kähler	kähler	NOUN
ap-951	1061	23	metrics	metric	NOUN
ap-951	1061	24	and	and	CCONJ
ap-951	1061	25	supersymmetry	supersymmetry	NOUN
ap-951	1061	26	.	.	PUNCT
ap-951	1062	1	comm	comm	NOUN
ap-951	1062	2	.	.	PUNCT
ap-951	1062	3	math	math	NOUN
ap-951	1062	4	.	.	PUNCT
ap-951	1063	1	phys	phy	NOUN
ap-951	1063	2	.	.	PUNCT
ap-951	1063	3	,	,	PUNCT
ap-951	1063	4	vol	vol	NOUN
ap-951	1063	5	.	.	PROPN
ap-951	1063	6	108	108	NUM
ap-951	1063	7	(	(	PUNCT
ap-951	1063	8	1987	1987	NUM
ap-951	1063	9	)	)	PUNCT
ap-951	1063	10	,	,	PUNCT
ap-951	1064	1	p.	p.	NOUN
ap-951	1064	2	535–589	535–589	NUM
ap-951	1064	3	.	.	PUNCT
ap-951	1065	1	[	[	X
ap-951	1065	2	42	42	NUM
ap-951	1065	3	]	]	X
ap-951	1065	4	corlette	corlette	PROPN
ap-951	1065	5	,	,	PUNCT
ap-951	1065	6	k.	k.	PROPN
ap-951	1065	7	:	:	PUNCT
ap-951	1065	8	flat	flat	ADJ
ap-951	1065	9	g	g	NOUN
ap-951	1065	10	-	-	PUNCT
ap-951	1065	11	bundles	bundle	NOUN
ap-951	1065	12	with	with	ADP
ap-951	1065	13	canonical	canonical	ADJ
ap-951	1065	14	metrics	metric	NOUN
ap-951	1065	15	.	.	PUNCT
ap-951	1066	1	j.	j.	PROPN
ap-951	1066	2	diff	diff	PROPN
ap-951	1066	3	.	.	PUNCT
ap-951	1067	1	geom	geom	PROPN
ap-951	1067	2	.	.	PROPN
ap-951	1067	3	,	,	PUNCT
ap-951	1067	4	vol	vol	NOUN
ap-951	1067	5	.	.	PROPN
ap-951	1067	6	28	28	NUM
ap-951	1067	7	(	(	PUNCT
ap-951	1067	8	1988	1988	NUM
ap-951	1067	9	)	)	PUNCT
ap-951	1067	10	,	,	PUNCT
ap-951	1068	1	p.	p.	NOUN
ap-951	1068	2	361–382	361–382	NUM
ap-951	1068	3	.	.	PUNCT
ap-951	1069	1	[	[	X
ap-951	1069	2	43	43	NUM
ap-951	1069	3	]	]	SYM
ap-951	1069	4	nahm	nahm	PROPN
ap-951	1069	5	,	,	PUNCT
ap-951	1069	6	w.	w.	PROPN
ap-951	1069	7	:	:	PUNCT
ap-951	1069	8	the	the	DET
ap-951	1069	9	construction	construction	NOUN
ap-951	1069	10	of	of	ADP
ap-951	1069	11	all	all	DET
ap-951	1069	12	selfdual	selfdual	ADJ
ap-951	1069	13	multi	multi	ADJ
ap-951	1069	14	-	-	ADJ
ap-951	1069	15	monopoles	monopole	NOUN
ap-951	1069	16	adhm	adhm	NOUN
ap-951	1069	17	method	method	NOUN
ap-951	1069	18	,	,	PUNCT
ap-951	1069	19	trieste	trieste	NOUN
ap-951	1069	20	cent	cent	NOUN
ap-951	1069	21	.	.	PUNCT
ap-951	1070	1	theor	theor	PROPN
ap-951	1070	2	.	.	PUNCT
ap-951	1071	1	phys	phy	NOUN
ap-951	1071	2	.	.	PUNCT
ap-951	1071	3	,	,	PUNCT
ap-951	1071	4	ic-82	ic-82	X
ap-951	1071	5	-	-	PUNCT
ap-951	1071	6	016	016	NUM
ap-951	1071	7	.	.	PUNCT
ap-951	1072	1	[	[	X
ap-951	1072	2	44	44	NUM
ap-951	1072	3	]	]	X
ap-951	1072	4	sklyanin	sklyanin	PROPN
ap-951	1072	5	,	,	PUNCT
ap-951	1072	6	e.	e.	PROPN
ap-951	1072	7	:	:	PUNCT
ap-951	1072	8	on	on	ADP
ap-951	1072	9	complete	complete	ADJ
ap-951	1072	10	integrability	integrability	NOUN
ap-951	1072	11	of	of	ADP
ap-951	1072	12	the	the	DET
ap-951	1072	13	landau	landau	NOUN
ap-951	1072	14	-	-	PUNCT
ap-951	1072	15	lifshitz	lifshitz	NOUN
ap-951	1072	16	equation	equation	NOUN
ap-951	1072	17	.	.	PUNCT
ap-951	1073	1	preprint	preprint	NOUN
ap-951	1073	2	lomi	lomi	NOUN
ap-951	1073	3	e-3	e-3	VERB
ap-951	1073	4	-	-	SYM
ap-951	1073	5	79	79	NUM
ap-951	1073	6	(	(	PUNCT
ap-951	1073	7	1979	1979	NUM
ap-951	1073	8	)	)	PUNCT
ap-951	1073	9	.	.	PUNCT
ap-951	1074	1	[	[	X
ap-951	1074	2	45	45	NUM
ap-951	1074	3	]	]	SYM
ap-951	1074	4	borovik	borovik	NOUN
ap-951	1074	5	,	,	PUNCT
ap-951	1074	6	a.	a.	NOUN
ap-951	1074	7	,	,	PUNCT
ap-951	1074	8	robuk	robuk	VERB
ap-951	1074	9	,	,	PUNCT
ap-951	1074	10	v.	v.	CCONJ
ap-951	1074	11	:	:	PUNCT
ap-951	1074	12	linear	linear	ADJ
ap-951	1074	13	pseudopotentials	pseudopotential	NOUN
ap-951	1074	14	and	and	CCONJ
ap-951	1074	15	conservation	conservation	NOUN
ap-951	1074	16	laws	law	NOUN
ap-951	1074	17	for	for	ADP
ap-951	1074	18	the	the	DET
ap-951	1074	19	landau	landau	NOUN
ap-951	1074	20	-	-	PUNCT
ap-951	1074	21	lifshitz	lifshitz	NOUN
ap-951	1074	22	equation	equation	NOUN
ap-951	1074	23	.	.	PUNCT
ap-951	1075	1	theor	theor	PROPN
ap-951	1075	2	.	.	PUNCT
ap-951	1075	3	math	math	NOUN
ap-951	1075	4	.	.	PUNCT
ap-951	1076	1	phys	phy	NOUN
ap-951	1076	2	.	.	PUNCT
ap-951	1076	3	,	,	PUNCT
ap-951	1076	4	vol	vol	NOUN
ap-951	1076	5	.	.	PROPN
ap-951	1076	6	46	46	NUM
ap-951	1076	7	(	(	PUNCT
ap-951	1076	8	1981	1981	NUM
ap-951	1076	9	)	)	PUNCT
ap-951	1076	10	,	,	PUNCT
ap-951	1077	1	p.	p.	NOUN
ap-951	1077	2	371–381	371–381	NUM
ap-951	1077	3	.	.	PUNCT
ap-951	1078	1	[	[	X
ap-951	1078	2	46	46	NUM
ap-951	1078	3	]	]	X
ap-951	1078	4	p.	p.	NOUN
ap-951	1078	5	kronheimer	kronheimer	PROPN
ap-951	1078	6	,	,	PUNCT
ap-951	1078	7	a	a	DET
ap-951	1078	8	hyper	hyper	ADJ
ap-951	1078	9	-	-	ADJ
ap-951	1078	10	kähler	kähler	ADJ
ap-951	1078	11	structure	structure	NOUN
ap-951	1078	12	on	on	ADP
ap-951	1078	13	coadjoint	coadjoint	NOUN
ap-951	1078	14	orbits	orbit	NOUN
ap-951	1078	15	of	of	ADP
ap-951	1078	16	a	a	DET
ap-951	1078	17	semisimple	semisimple	ADJ
ap-951	1078	18	complex	complex	ADJ
ap-951	1078	19	group	group	NOUN
ap-951	1078	20	.	.	PUNCT
ap-951	1079	1	j.	j.	PROPN
ap-951	1079	2	london	london	PROPN
ap-951	1079	3	math	math	PROPN
ap-951	1079	4	.	.	PUNCT
ap-951	1080	1	soc	soc	PROPN
ap-951	1080	2	.	.	PUNCT
ap-951	1081	1	,	,	PUNCT
ap-951	1081	2	vol	vol	NOUN
ap-951	1081	3	.	.	PUNCT
ap-951	1082	1	42	42	NUM
ap-951	1082	2	(	(	PUNCT
ap-951	1082	3	1990	1990	NUM
ap-951	1082	4	)	)	PUNCT
ap-951	1082	5	,	,	PUNCT
ap-951	1083	1	p.	p.	NOUN
ap-951	1083	2	193–208	193–208	NUM
ap-951	1083	3	.	.	PUNCT
ap-951	1084	1	[	[	X
ap-951	1084	2	47	47	NUM
ap-951	1084	3	]	]	X
ap-951	1084	4	khesin	khesin	PROPN
ap-951	1084	5	,	,	PUNCT
ap-951	1084	6	b.	b.	PROPN
ap-951	1084	7	,	,	PUNCT
ap-951	1084	8	levin	levin	PROPN
ap-951	1084	9	,	,	PUNCT
ap-951	1084	10	a.	a.	PROPN
ap-951	1084	11	,	,	PUNCT
ap-951	1084	12	olshanetsky	olshanetsky	NOUN
ap-951	1084	13	,	,	PUNCT
ap-951	1084	14	m.	m.	NOUN
ap-951	1084	15	:	:	PUNCT
ap-951	1084	16	bihamiltonian	bihamiltonian	ADJ
ap-951	1084	17	structures	structure	NOUN
ap-951	1084	18	and	and	CCONJ
ap-951	1084	19	quadratic	quadratic	ADJ
ap-951	1084	20	algebras	algebra	NOUN
ap-951	1084	21	in	in	ADP
ap-951	1084	22	hydrodynamics	hydrodynamic	NOUN
ap-951	1084	23	and	and	CCONJ
ap-951	1084	24	on	on	ADP
ap-951	1084	25	non	non	ADJ
ap-951	1084	26	-	-	ADJ
ap-951	1084	27	commutative	commutative	ADJ
ap-951	1084	28	torus	torus	NOUN
ap-951	1084	29	.	.	PUNCT
ap-951	1085	1	comm	comm	NOUN
ap-951	1085	2	.	.	PUNCT
ap-951	1086	1	math	math	NOUN
ap-951	1086	2	.	.	PUNCT
ap-951	1087	1	phys	phy	NOUN
ap-951	1087	2	.	.	PUNCT
ap-951	1087	3	,	,	PUNCT
ap-951	1087	4	vol	vol	NOUN
ap-951	1087	5	.	.	PROPN
ap-951	1087	6	250	250	NUM
ap-951	1087	7	(	(	PUNCT
ap-951	1087	8	2004	2004	NUM
ap-951	1087	9	)	)	PUNCT
ap-951	1087	10	,	,	PUNCT
ap-951	1088	1	p.	p.	NOUN
ap-951	1088	2	581–612	581–612	NUM
ap-951	1088	3	.	.	PUNCT
ap-951	1089	1	[	[	X
ap-951	1089	2	48	48	NUM
ap-951	1089	3	]	]	PUNCT
ap-951	1089	4	olshanetsky	olshanetsky	NOUN
ap-951	1089	5	,	,	PUNCT
ap-951	1089	6	m.	m.	NOUN
ap-951	1089	7	:	:	PUNCT
ap-951	1089	8	the	the	DET
ap-951	1089	9	large	large	ADJ
ap-951	1089	10	n	n	NOUN
ap-951	1089	11	limits	limit	NOUN
ap-951	1089	12	of	of	ADP
ap-951	1089	13	integrable	integrable	ADJ
ap-951	1089	14	models	model	NOUN
ap-951	1089	15	.	.	PUNCT
ap-951	1090	1	mosc	mosc	PROPN
ap-951	1090	2	.	.	PUNCT
ap-951	1091	1	math	math	PROPN
ap-951	1091	2	.	.	PUNCT
ap-951	1092	1	j.	j.	PROPN
ap-951	1092	2	,	,	PUNCT
ap-951	1092	3	vol	vol	NOUN
ap-951	1092	4	.	.	PROPN
ap-951	1092	5	3	3	NUM
ap-951	1092	6	(	(	PUNCT
ap-951	1092	7	2003	2003	NUM
ap-951	1092	8	)	)	PUNCT
ap-951	1092	9	,	,	PUNCT
ap-951	1092	10	p.	p.	NOUN
ap-951	1092	11	1307–1331	1307–1331	NUM
ap-951	1092	12	.	.	PUNCT
ap-951	1093	1	[	[	X
ap-951	1093	2	49	49	NUM
ap-951	1093	3	]	]	PUNCT
ap-951	1093	4	takasaki	takasaki	ADJ
ap-951	1093	5	,	,	PUNCT
ap-951	1093	6	k.	k.	PROPN
ap-951	1093	7	:	:	PUNCT
ap-951	1093	8	spectral	spectral	ADJ
ap-951	1093	9	curves	curve	NOUN
ap-951	1093	10	and	and	CCONJ
ap-951	1093	11	whitham	whitham	ADJ
ap-951	1093	12	equations	equation	NOUN
ap-951	1093	13	in	in	ADP
ap-951	1093	14	the	the	DET
ap-951	1093	15	isomonodromic	isomonodromic	NOUN
ap-951	1093	16	problems	problem	NOUN
ap-951	1093	17	of	of	ADP
ap-951	1093	18	schlesinger	schlesinger	PROPN
ap-951	1093	19	type	type	NOUN
ap-951	1093	20	.	.	PUNCT
ap-951	1094	1	[	[	X
ap-951	1094	2	solv	solv	ADV
ap-951	1094	3	-	-	PUNCT
ap-951	1094	4	int/9704004	int/9704004	NOUN
ap-951	1094	5	]	]	PUNCT
ap-951	1094	6	.	.	PUNCT
ap-951	1095	1	[	[	X
ap-951	1095	2	50	50	NUM
ap-951	1095	3	]	]	PUNCT
ap-951	1095	4	ruijsenaars	ruijsenaar	NOUN
ap-951	1095	5	,	,	PUNCT
ap-951	1095	6	s.	s.	PROPN
ap-951	1095	7	n.	n.	PROPN
ap-951	1095	8	m.	m.	PROPN
ap-951	1095	9	:	:	PUNCT
ap-951	1095	10	complete	complete	VERB
ap-951	1095	11	integrability	integrability	NOUN
ap-951	1095	12	of	of	ADP
ap-951	1095	13	relativistic	relativistic	ADJ
ap-951	1095	14	calogero	calogero	PROPN
ap-951	1095	15	-	-	PUNCT
ap-951	1095	16	moser	moser	PROPN
ap-951	1095	17	systems	systems	PROPN
ap-951	1095	18	and	and	CCONJ
ap-951	1095	19	elliptic	elliptic	ADJ
ap-951	1095	20	function	function	NOUN
ap-951	1095	21	identities	identity	NOUN
ap-951	1095	22	.	.	PUNCT
ap-951	1096	1	commun	commun	PROPN
ap-951	1096	2	.	.	PUNCT
ap-951	1097	1	math	math	NOUN
ap-951	1097	2	.	.	PUNCT
ap-951	1098	1	phys	phy	NOUN
ap-951	1098	2	.	.	PUNCT
ap-951	1098	3	,	,	PUNCT
ap-951	1098	4	vol	vol	NOUN
ap-951	1098	5	.	.	PUNCT
ap-951	1099	1	110:191	110:191	NUM
ap-951	1099	2	(	(	PUNCT
ap-951	1099	3	1987	1987	NUM
ap-951	1099	4	)	)	PUNCT
ap-951	1099	5	;	;	PUNCT
ap-951	1099	6	ruijsenaars	ruijsenaar	NOUN
ap-951	1099	7	,	,	PUNCT
ap-951	1099	8	s.	s.	PROPN
ap-951	1099	9	n.	n.	PROPN
ap-951	1099	10	m.	m.	PROPN
ap-951	1099	11	,	,	PUNCT
ap-951	1099	12	schneider	schneider	PROPN
ap-951	1099	13	,	,	PUNCT
ap-951	1099	14	h.	h.	PROPN
ap-951	1099	15	:	:	PUNCT
ap-951	1099	16	a	a	DET
ap-951	1099	17	new	new	ADJ
ap-951	1099	18	class	class	NOUN
ap-951	1099	19	of	of	ADP
ap-951	1099	20	integrable	integrable	ADJ
ap-951	1099	21	systems	system	NOUN
ap-951	1099	22	and	and	CCONJ
ap-951	1099	23	its	its	PRON
ap-951	1099	24	relation	relation	NOUN
ap-951	1099	25	to	to	ADP
ap-951	1099	26	solitons	soliton	NOUN
ap-951	1099	27	.	.	PUNCT
ap-951	1100	1	ann	ann	PROPN
ap-951	1100	2	.	.	PUNCT
ap-951	1101	1	phys	phys	PROPN
ap-951	1101	2	.	.	PUNCT
ap-951	1101	3	,	,	PUNCT
ap-951	1101	4	vol	vol	NOUN
ap-951	1101	5	.	.	PROPN
ap-951	1101	6	170	170	NUM
ap-951	1101	7	(	(	PUNCT
ap-951	1101	8	1986	1986	NUM
ap-951	1101	9	)	)	PUNCT
ap-951	1101	10	,	,	PUNCT
ap-951	1101	11	370–405	370–405	NUM
ap-951	1101	12	.	.	PUNCT
ap-951	1102	1	[	[	X
ap-951	1102	2	51	51	NUM
ap-951	1102	3	]	]	X
ap-951	1102	4	braden	braden	PROPN
ap-951	1102	5	,	,	PUNCT
ap-951	1102	6	h.	h.	PROPN
ap-951	1102	7	,	,	PUNCT
ap-951	1102	8	dolgushev	dolgushev	PROPN
ap-951	1102	9	,	,	PUNCT
ap-951	1102	10	v.	v.	ADV
ap-951	1102	11	,	,	PUNCT
ap-951	1102	12	olshanetsky	olshanetsky	NOUN
ap-951	1102	13	,	,	PUNCT
ap-951	1102	14	m.	m.	NOUN
ap-951	1102	15	,	,	PUNCT
ap-951	1102	16	zotov	zotov	PROPN
ap-951	1102	17	,	,	PUNCT
ap-951	1102	18	a.	a.	NOUN
ap-951	1102	19	:	:	PUNCT
ap-951	1102	20	classical	classical	ADJ
ap-951	1102	21	r	r	NOUN
ap-951	1102	22	-	-	PUNCT
ap-951	1102	23	matrices	matrix	NOUN
ap-951	1102	24	and	and	CCONJ
ap-951	1102	25	the	the	DET
ap-951	1102	26	feigin	feigin	NOUN
ap-951	1102	27	-	-	PUNCT
ap-951	1102	28	odesskii	odesskii	ADJ
ap-951	1102	29	algebra	algebra	NOUN
ap-951	1102	30	via	via	ADP
ap-951	1102	31	hamiltonian	hamiltonian	ADJ
ap-951	1102	32	and	and	CCONJ
ap-951	1102	33	poisson	poisson	NOUN
ap-951	1102	34	reductions	reduction	NOUN
ap-951	1102	35	.	.	PUNCT
ap-951	1103	1	journ	journ	NOUN
ap-951	1103	2	.	.	PUNCT
ap-951	1104	1	phys	phy	NOUN
ap-951	1104	2	.	.	PUNCT
ap-951	1105	1	a	a	DET
ap-951	1105	2	,	,	PUNCT
ap-951	1105	3	vol	vol	NOUN
ap-951	1105	4	.	.	PROPN
ap-951	1106	1	36	36	NUM
ap-951	1106	2	(	(	PUNCT
ap-951	1106	3	2003	2003	NUM
ap-951	1106	4	)	)	PUNCT
ap-951	1106	5	,	,	PUNCT
ap-951	1106	6	p.	p.	NOUN
ap-951	1106	7	6979–7000	6979–7000	NUM
ap-951	1106	8	.	.	PUNCT
ap-951	1107	1	[	[	X
ap-951	1107	2	52	52	NUM
ap-951	1107	3	]	]	SYM
ap-951	1107	4	takasaki	takasaki	ADJ
ap-951	1107	5	,	,	PUNCT
ap-951	1107	6	k.	k.	NOUN
ap-951	1107	7	:	:	PUNCT
ap-951	1108	1	gaudin	gaudin	PROPN
ap-951	1108	2	model	model	PROPN
ap-951	1108	3	,	,	PUNCT
ap-951	1108	4	kz	kz	PROPN
ap-951	1108	5	equation	equation	NOUN
ap-951	1108	6	,	,	PUNCT
ap-951	1108	7	and	and	CCONJ
ap-951	1108	8	isomonodromic	isomonodromic	ADJ
ap-951	1108	9	deformation	deformation	NOUN
ap-951	1108	10	on	on	ADP
ap-951	1108	11	torus	torus	PROPN
ap-951	1108	12	.	.	PUNCT
ap-951	1109	1	lett	lett	PROPN
ap-951	1109	2	.	.	PUNCT
ap-951	1109	3	math	math	NOUN
ap-951	1109	4	.	.	PUNCT
ap-951	1110	1	phys	phy	NOUN
ap-951	1110	2	.	.	PUNCT
ap-951	1110	3	,	,	PUNCT
ap-951	1110	4	vol	vol	NOUN
ap-951	1110	5	.	.	PROPN
ap-951	1110	6	44	44	NUM
ap-951	1110	7	(	(	PUNCT
ap-951	1110	8	1998	1998	NUM
ap-951	1110	9	)	)	PUNCT
ap-951	1110	10	,	,	PUNCT
ap-951	1111	1	p.	p.	NOUN
ap-951	1111	2	143–156	143–156	NUM
ap-951	1111	3	.	.	PUNCT
ap-951	1112	1	[	[	X
ap-951	1112	2	hep	hep	NOUN
ap-951	1112	3	-	-	SYM
ap-951	1112	4	th/9711058	th/9711058	X
ap-951	1112	5	]	]	PUNCT
ap-951	1112	6	.	.	PUNCT
ap-951	1113	1	[	[	X
ap-951	1113	2	53	53	NUM
ap-951	1113	3	]	]	PUNCT
ap-951	1113	4	chernyakov	chernyakov	PROPN
ap-951	1113	5	,	,	PUNCT
ap-951	1113	6	yu	yu	PROPN
ap-951	1113	7	.	.	PROPN
ap-951	1113	8	,	,	PUNCT
ap-951	1113	9	levin	levin	PROPN
ap-951	1113	10	,	,	PUNCT
ap-951	1113	11	a.	a.	PROPN
ap-951	1113	12	,	,	PUNCT
ap-951	1113	13	olshanetsky	olshanetsky	NOUN
ap-951	1113	14	,	,	PUNCT
ap-951	1113	15	m.	m.	NOUN
ap-951	1113	16	,	,	PUNCT
ap-951	1113	17	zotov	zotov	PROPN
ap-951	1113	18	,	,	PUNCT
ap-951	1113	19	a.	a.	NOUN
ap-951	1113	20	:	:	PUNCT
ap-951	1113	21	elliptic	elliptic	ADJ
ap-951	1113	22	schlesinger	schlesinger	NOUN
ap-951	1113	23	system	system	NOUN
ap-951	1113	24	and	and	CCONJ
ap-951	1113	25	painlevé	painlevé	PROPN
ap-951	1113	26	vi	vi	PROPN
ap-951	1113	27	.	.	PROPN
ap-951	1113	28	journ	journ	NOUN
ap-951	1113	29	.	.	PUNCT
ap-951	1114	1	phys	phy	NOUN
ap-951	1114	2	.	.	PUNCT
ap-951	1115	1	a	a	DET
ap-951	1115	2	,	,	PUNCT
ap-951	1115	3	vol	vol	NOUN
ap-951	1115	4	.	.	PROPN
ap-951	1115	5	39	39	NUM
ap-951	1115	6	(	(	PUNCT
ap-951	1115	7	2006	2006	NUM
ap-951	1115	8	)	)	PUNCT
ap-951	1115	9	,	,	PUNCT
ap-951	1115	10	p.	p.	NOUN
ap-951	1115	11	12083–120102	12083–120102	NUM
ap-951	1115	12	.	.	PUNCT
ap-951	1116	1	[	[	X
ap-951	1116	2	54	54	NUM
ap-951	1116	3	]	]	PUNCT
ap-951	1116	4	belavin	belavin	NOUN
ap-951	1116	5	,	,	PUNCT
ap-951	1116	6	a.	a.	PROPN
ap-951	1116	7	,	,	PUNCT
ap-951	1116	8	drinfeld	drinfeld	VERB
ap-951	1116	9	,	,	PUNCT
ap-951	1116	10	v.	v.	ADP
ap-951	1116	11	:	:	PUNCT
ap-951	1116	12	solutions	solution	NOUN
ap-951	1116	13	of	of	ADP
ap-951	1116	14	the	the	DET
ap-951	1116	15	classical	classical	ADJ
ap-951	1116	16	yang	yang	PROPN
ap-951	1116	17	-	-	PUNCT
ap-951	1116	18	baxter	baxter	PROPN
ap-951	1116	19	equation	equation	NOUN
ap-951	1116	20	for	for	ADP
ap-951	1116	21	simple	simple	ADJ
ap-951	1116	22	lie	lie	NOUN
ap-951	1116	23	algebras	algebra	NOUN
ap-951	1116	24	.	.	PUNCT
ap-951	1117	1	funct	funct	PROPN
ap-951	1117	2	.	.	PUNCT
ap-951	1118	1	anal	anal	PROPN
ap-951	1118	2	.	.	PUNCT
ap-951	1119	1	and	and	CCONJ
ap-951	1119	2	applic	applic	PROPN
ap-951	1119	3	.	.	PUNCT
ap-951	1120	1	,	,	PUNCT
ap-951	1120	2	vol	vol	NOUN
ap-951	1120	3	.	.	PUNCT
ap-951	1121	1	16	16	NUM
ap-951	1121	2	(	(	PUNCT
ap-951	1121	3	1982	1982	NUM
ap-951	1121	4	)	)	PUNCT
ap-951	1121	5	,	,	PUNCT
ap-951	1122	1	no	no	INTJ
ap-951	1122	2	.	.	NOUN
ap-951	1122	3	3	3	NUM
ap-951	1122	4	,	,	PUNCT
ap-951	1122	5	p.	p.	NOUN
ap-951	1122	6	1–29	1–29	PROPN
ap-951	1122	7	.	.	PUNCT
ap-951	1123	1	[	[	X
ap-951	1123	2	55	55	NUM
ap-951	1123	3	]	]	X
ap-951	1123	4	sklyanin	sklyanin	PROPN
ap-951	1123	5	,	,	PUNCT
ap-951	1123	6	e.	e.	PROPN
ap-951	1123	7	:	:	PUNCT
ap-951	1123	8	some	some	DET
ap-951	1123	9	algebraic	algebraic	ADJ
ap-951	1123	10	structures	structure	NOUN
ap-951	1123	11	connected	connect	VERB
ap-951	1123	12	with	with	ADP
ap-951	1123	13	the	the	DET
ap-951	1123	14	yang	yang	PROPN
ap-951	1123	15	-	-	PUNCT
ap-951	1123	16	baxter	baxter	PROPN
ap-951	1123	17	equation	equation	NOUN
ap-951	1123	18	.	.	PUNCT
ap-951	1124	1	funct	funct	PROPN
ap-951	1124	2	.	.	PUNCT
ap-951	1125	1	anal	anal	PROPN
ap-951	1125	2	.	.	PUNCT
ap-951	1126	1	and	and	CCONJ
ap-951	1126	2	applic	applic	PROPN
ap-951	1126	3	.	.	PUNCT
ap-951	1127	1	,	,	PUNCT
ap-951	1127	2	vol	vol	NOUN
ap-951	1127	3	.	.	PUNCT
ap-951	1128	1	16	16	NUM
ap-951	1128	2	(	(	PUNCT
ap-951	1128	3	1982	1982	NUM
ap-951	1128	4	)	)	PUNCT
ap-951	1128	5	,	,	PUNCT
ap-951	1128	6	no	no	INTJ
ap-951	1128	7	.	.	NOUN
ap-951	1128	8	4	4	NUM
ap-951	1128	9	,	,	PUNCT
ap-951	1128	10	p.	p.	NOUN
ap-951	1128	11	27–34	27–34	NUM
ap-951	1128	12	.	.	PUNCT
ap-951	1129	1	[	[	X
ap-951	1129	2	56	56	NUM
ap-951	1129	3	]	]	PUNCT
ap-951	1129	4	feigin	feigin	NOUN
ap-951	1129	5	,	,	PUNCT
ap-951	1129	6	b.	b.	PROPN
ap-951	1129	7	,	,	PUNCT
ap-951	1129	8	odesski	odesski	ADJ
ap-951	1129	9	,	,	PUNCT
ap-951	1129	10	a.	a.	NOUN
ap-951	1129	11	:	:	PUNCT
ap-951	1130	1	sklyanin	sklyanin	PROPN
ap-951	1130	2	’s	’s	PART
ap-951	1130	3	elliptic	elliptic	ADJ
ap-951	1130	4	algebras	algebra	NOUN
ap-951	1130	5	.	.	PUNCT
ap-951	1131	1	funct	funct	PROPN
ap-951	1131	2	.	.	PUNCT
ap-951	1132	1	anal	anal	PROPN
ap-951	1132	2	.	.	PUNCT
ap-951	1133	1	and	and	CCONJ
ap-951	1133	2	applic	applic	PROPN
ap-951	1133	3	.	.	PUNCT
ap-951	1134	1	,	,	PUNCT
ap-951	1134	2	vol	vol	NOUN
ap-951	1134	3	.	.	PROPN
ap-951	1135	1	23	23	NUM
ap-951	1135	2	(	(	PUNCT
ap-951	1135	3	1989	1989	NUM
ap-951	1135	4	)	)	PUNCT
ap-951	1135	5	,	,	PUNCT
ap-951	1136	1	no	no	INTJ
ap-951	1136	2	.	.	NOUN
ap-951	1136	3	3	3	NUM
ap-951	1136	4	,	,	PUNCT
ap-951	1136	5	p.	p.	NOUN
ap-951	1136	6	207–214	207–214	NUM
ap-951	1136	7	.	.	PUNCT
ap-951	1137	1	[	[	X
ap-951	1137	2	57	57	NUM
ap-951	1137	3	]	]	PUNCT
ap-951	1137	4	fock	fock	ADJ
ap-951	1137	5	,	,	PUNCT
ap-951	1137	6	v.	v.	ADJ
ap-951	1137	7	,	,	PUNCT
ap-951	1137	8	gorsky	gorsky	NOUN
ap-951	1137	9	,	,	PUNCT
ap-951	1137	10	a.	a.	NOUN
ap-951	1137	11	,	,	PUNCT
ap-951	1137	12	nekrasov	nekrasov	NOUN
ap-951	1137	13	,	,	PUNCT
ap-951	1137	14	n.	n.	NOUN
ap-951	1137	15	,	,	PUNCT
ap-951	1137	16	rubtsov	rubtsov	NOUN
ap-951	1137	17	,	,	PUNCT
ap-951	1137	18	v.	v.	ADP
ap-951	1137	19	:	:	PUNCT
ap-951	1137	20	duality	duality	NOUN
ap-951	1137	21	in	in	ADP
ap-951	1137	22	integrable	integrable	ADJ
ap-951	1137	23	systems	system	NOUN
ap-951	1137	24	and	and	CCONJ
ap-951	1137	25	gauge	gauge	NOUN
ap-951	1137	26	theories	theory	NOUN
ap-951	1137	27	.	.	PUNCT
ap-951	1138	1	jhep	jhep	ADJ
ap-951	1138	2	0007	0007	NUM
ap-951	1138	3	(	(	PUNCT
ap-951	1138	4	2000	2000	NUM
ap-951	1138	5	)	)	PUNCT
ap-951	1138	6	028	028	NUM
ap-951	1138	7	,	,	PUNCT
ap-951	1139	1	[	[	X
ap-951	1139	2	arxiv	arxiv	NOUN
ap-951	1139	3	:	:	PUNCT
ap-951	1139	4	hep	hep	NOUN
ap-951	1139	5	-	-	PUNCT
ap-951	1139	6	th/9906235	th/9906235	PROPN
ap-951	1139	7	]	]	PUNCT
ap-951	1139	8	.	.	PUNCT
ap-951	1140	1	[	[	X
ap-951	1140	2	58	58	NUM
ap-951	1140	3	]	]	PUNCT
ap-951	1140	4	gorsky	gorsky	NOUN
ap-951	1140	5	,	,	PUNCT
ap-951	1140	6	a.	a.	NOUN
ap-951	1140	7	,	,	PUNCT
ap-951	1140	8	rubtsov	rubtsov	NOUN
ap-951	1140	9	,	,	PUNCT
ap-951	1140	10	v.	v.	ADP
ap-951	1140	11	:	:	PUNCT
ap-951	1140	12	dualities	duality	NOUN
ap-951	1140	13	in	in	ADP
ap-951	1140	14	integrable	integrable	ADJ
ap-951	1140	15	systems	system	NOUN
ap-951	1140	16	:	:	PUNCT
ap-951	1140	17	geometrical	geometrical	ADJ
ap-951	1140	18	aspects	aspect	NOUN
ap-951	1140	19	.	.	PUNCT
ap-951	1141	1	[	[	X
ap-951	1141	2	arxiv	arxiv	NOUN
ap-951	1141	3	:	:	PUNCT
ap-951	1141	4	hepth/0103004	hepth/0103004	NOUN
ap-951	1141	5	]	]	PUNCT
ap-951	1141	6	.	.	PUNCT
ap-951	1142	1	[	[	X
ap-951	1142	2	59	59	NUM
ap-951	1142	3	]	]	X
ap-951	1142	4	abenda	abenda	NOUN
ap-951	1142	5	,	,	PUNCT
ap-951	1142	6	s.	s.	PROPN
ap-951	1142	7	,	,	PUNCT
ap-951	1142	8	previato	previato	NOUN
ap-951	1142	9	,	,	PUNCT
ap-951	1142	10	e.	e.	PROPN
ap-951	1142	11	:	:	PUNCT
ap-951	1142	12	how	how	SCONJ
ap-951	1142	13	is	be	AUX
ap-951	1142	14	the	the	DET
ap-951	1142	15	hitchin	hitchin	PROPN
ap-951	1142	16	system	system	NOUN
ap-951	1142	17	self	self	NOUN
ap-951	1142	18	-	-	PUNCT
ap-951	1142	19	dual	dual	ADJ
ap-951	1142	20	?	?	PUNCT
ap-951	1143	1	let	let	VERB
ap-951	1143	2	us	we	PRON
ap-951	1143	3	count	count	VERB
ap-951	1143	4	the	the	DET
ap-951	1143	5	ways	way	NOUN
ap-951	1143	6	.	.	PUNCT
ap-951	1144	1	inst	inst	NOUN
ap-951	1144	2	.	.	PROPN
ap-951	1145	1	mittag	mittag	ADJ
ap-951	1145	2	lefler	lefler	NOUN
ap-951	1145	3	,	,	PUNCT
ap-951	1145	4	report	report	VERB
ap-951	1145	5	no	no	INTJ
ap-951	1145	6	.	.	PROPN
ap-951	1145	7	64	64	NUM
ap-951	1145	8	2006/2007	2006/2007	NUM
ap-951	1145	9	.	.	PUNCT
ap-951	1146	1	[	[	X
ap-951	1146	2	60	60	NUM
ap-951	1146	3	]	]	PUNCT
ap-951	1146	4	cherednik	cherednik	X
ap-951	1146	5	,	,	PUNCT
ap-951	1146	6	i.	i.	NOUN
ap-951	1146	7	:	:	PUNCT
ap-951	1146	8	double	double	ADJ
ap-951	1146	9	affine	affine	PROPN
ap-951	1146	10	hecke	hecke	PROPN
ap-951	1146	11	algebras	algebras	PROPN
ap-951	1146	12	.	.	PROPN
ap-951	1147	1	cambridge	cambridge	PROPN
ap-951	1147	2	university	university	PROPN
ap-951	1147	3	press	press	NOUN
ap-951	1147	4	,	,	PUNCT
ap-951	1147	5	2005	2005	NUM
ap-951	1147	6	.	.	PUNCT
ap-951	1148	1	[	[	X
ap-951	1148	2	61	61	NUM
ap-951	1148	3	]	]	X
ap-951	1148	4	hausel	hausel	NOUN
ap-951	1148	5	,	,	PUNCT
ap-951	1148	6	t.	t.	PROPN
ap-951	1148	7	,	,	PUNCT
ap-951	1148	8	thaddeus	thaddeus	NOUN
ap-951	1148	9	,	,	PUNCT
ap-951	1148	10	m.	m.	NOUN
ap-951	1148	11	:	:	PUNCT
ap-951	1148	12	mirror	mirror	NOUN
ap-951	1148	13	symmetry	symmetry	NOUN
ap-951	1148	14	,	,	PUNCT
ap-951	1148	15	langlands	langland	VERB
ap-951	1148	16	duality	duality	NOUN
ap-951	1148	17	,	,	PUNCT
ap-951	1148	18	and	and	CCONJ
ap-951	1148	19	the	the	DET
ap-951	1148	20	hitchin	hitchin	PROPN
ap-951	1148	21	system	system	NOUN
ap-951	1148	22	.	.	PUNCT
ap-951	1149	1	invent	invent	NOUN
ap-951	1149	2	.	.	PUNCT
ap-951	1150	1	math	math	NOUN
ap-951	1150	2	.	.	PUNCT
ap-951	1151	1	,	,	PUNCT
ap-951	1151	2	vol	vol	NOUN
ap-951	1151	3	.	.	PROPN
ap-951	1152	1	153	153	NUM
ap-951	1152	2	(	(	PUNCT
ap-951	1152	3	2003	2003	NUM
ap-951	1152	4	)	)	PUNCT
ap-951	1152	5	,	,	PUNCT
ap-951	1152	6	p.	p.	NOUN
ap-951	1152	7	197	197	NUM
ap-951	1152	8	–	–	PUNCT
ap-951	1152	9	229	229	NUM
ap-951	1152	10	.	.	PUNCT
ap-951	1153	1	[	[	X
ap-951	1153	2	62	62	NUM
ap-951	1153	3	]	]	SYM
ap-951	1153	4	donagi	donagi	PROPN
ap-951	1153	5	,	,	PUNCT
ap-951	1153	6	r.	r.	PROPN
ap-951	1153	7	,	,	PUNCT
ap-951	1153	8	pantev	pantev	NOUN
ap-951	1153	9	,	,	PUNCT
ap-951	1153	10	t.	t.	PROPN
ap-951	1153	11	:	:	PUNCT
ap-951	1153	12	langlands	langland	VERB
ap-951	1153	13	duality	duality	NOUN
ap-951	1153	14	for	for	ADP
ap-951	1153	15	hitchin	hitchin	NOUN
ap-951	1153	16	systems	system	NOUN
ap-951	1153	17	.	.	PUNCT
ap-951	1154	1	[	[	X
ap-951	1154	2	arxiv	arxiv	NOUN
ap-951	1154	3	:	:	PUNCT
ap-951	1154	4	math/0604617	math/0604617	PROPN
ap-951	1154	5	]	]	X
ap-951	1154	6	.	.	PUNCT
ap-951	1155	1	©	©	PROPN
ap-951	1155	2	czech	czech	PROPN
ap-951	1155	3	technical	technical	PROPN
ap-951	1155	4	university	university	PROPN
ap-951	1155	5	publishing	publishing	NOUN
ap-951	1155	6	house	house	NOUN
ap-951	1155	7	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-951	1155	8	23	23	NUM
ap-951	1155	9	acta	acta	PROPN
ap-951	1155	10	polytechnica	polytechnica	PROPN
ap-951	1155	11	vol	vol	NOUN
ap-951	1155	12	.	.	PUNCT
ap-951	1156	1	48	48	NUM
ap-951	1156	2	no	no	NOUN
ap-951	1156	3	.	.	PUNCT
ap-951	1157	1	2/2008	2/2008	NUM
ap-951	1158	1	[	[	X
ap-951	1158	2	63	63	NUM
ap-951	1158	3	]	]	PUNCT
ap-951	1158	4	hitchin	hitchin	PROPN
ap-951	1158	5	,	,	PUNCT
ap-951	1158	6	n.	n.	NOUN
ap-951	1158	7	:	:	PUNCT
ap-951	1158	8	langlands	langland	VERB
ap-951	1158	9	duality	duality	NOUN
ap-951	1158	10	and	and	CCONJ
ap-951	1158	11	g2	g2	PROPN
ap-951	1158	12	spectral	spectral	ADJ
ap-951	1158	13	curves	curve	NOUN
ap-951	1158	14	.	.	PUNCT
ap-951	1159	1	[	[	X
ap-951	1159	2	arxiv	arxiv	NOUN
ap-951	1159	3	:	:	PUNCT
ap-951	1159	4	math/0611524	math/0611524	PROPN
ap-951	1159	5	]	]	PUNCT
ap-951	1159	6	.	.	PUNCT
ap-951	1160	1	[	[	X
ap-951	1160	2	64	64	NUM
ap-951	1160	3	]	]	PUNCT
ap-951	1160	4	tyurin	tyurin	NOUN
ap-951	1160	5	,	,	PUNCT
ap-951	1160	6	a.	a.	NOUN
ap-951	1160	7	:	:	PUNCT
ap-951	1160	8	classification	classification	NOUN
ap-951	1160	9	of	of	ADP
ap-951	1160	10	vector	vector	NOUN
ap-951	1160	11	bundles	bundle	NOUN
ap-951	1160	12	over	over	ADP
ap-951	1160	13	an	an	DET
ap-951	1160	14	algebraic	algebraic	ADJ
ap-951	1160	15	curve	curve	NOUN
ap-951	1160	16	of	of	ADP
ap-951	1160	17	arbitrary	arbitrary	ADJ
ap-951	1160	18	genus	genus	NOUN
ap-951	1160	19	.	.	PUNCT
ap-951	1161	1	amer	amer	PROPN
ap-951	1161	2	.	.	PUNCT
ap-951	1161	3	math	math	PROPN
ap-951	1161	4	.	.	PUNCT
ap-951	1162	1	soc	soc	PROPN
ap-951	1162	2	.	.	PUNCT
ap-951	1163	1	transl	transl	PROPN
ap-951	1163	2	.	.	PUNCT
ap-951	1164	1	ii	ii	PROPN
ap-951	1164	2	ser	ser	PROPN
ap-951	1164	3	.	.	PROPN
ap-951	1165	1	63	63	NUM
ap-951	1165	2	(	(	PUNCT
ap-951	1165	3	1967	1967	NUM
ap-951	1165	4	)	)	PUNCT
ap-951	1165	5	,	,	PUNCT
ap-951	1166	1	p.	p.	NOUN
ap-951	1166	2	245	245	NUM
ap-951	1166	3	–	–	PUNCT
ap-951	1166	4	279	279	NUM
ap-951	1166	5	.	.	PUNCT
ap-951	1167	1	[	[	X
ap-951	1167	2	65	65	NUM
ap-951	1167	3	]	]	X
ap-951	1167	4	enriquez	enriquez	PROPN
ap-951	1167	5	,	,	PUNCT
ap-951	1167	6	b.	b.	PROPN
ap-951	1167	7	,	,	PUNCT
ap-951	1167	8	rubtsov	rubtsov	PROPN
ap-951	1167	9	,	,	PUNCT
ap-951	1167	10	v.	v.	CCONJ
ap-951	1167	11	:	:	PUNCT
ap-951	1167	12	hecke	hecke	ADJ
ap-951	1167	13	-	-	PUNCT
ap-951	1167	14	tyurin	tyurin	NOUN
ap-951	1167	15	parametrization	parametrization	NOUN
ap-951	1167	16	of	of	ADP
ap-951	1167	17	the	the	DET
ap-951	1167	18	hitchin	hitchin	NOUN
ap-951	1167	19	and	and	CCONJ
ap-951	1167	20	kzb	kzb	PROPN
ap-951	1167	21	systems	system	NOUN
ap-951	1167	22	.	.	PUNCT
ap-951	1168	1	[	[	X
ap-951	1168	2	arxiv	arxiv	NOUN
ap-951	1168	3	:	:	PUNCT
ap-951	1168	4	math/9911087	math/9911087	NOUN
ap-951	1168	5	]	]	X
ap-951	1168	6	.	.	PUNCT
ap-951	1169	1	[	[	X
ap-951	1169	2	66	66	NUM
ap-951	1169	3	]	]	PUNCT
ap-951	1169	4	takasaki	takasaki	ADJ
ap-951	1169	5	,	,	PUNCT
ap-951	1169	6	k.	k.	PROPN
ap-951	1169	7	:	:	PUNCT
ap-951	1170	1	tyurin	tyurin	NOUN
ap-951	1170	2	parameters	parameter	NOUN
ap-951	1170	3	of	of	ADP
ap-951	1170	4	commuting	commute	VERB
ap-951	1170	5	pairs	pair	NOUN
ap-951	1170	6	and	and	CCONJ
ap-951	1170	7	infinite	infinite	ADJ
ap-951	1170	8	dimensional	dimensional	ADJ
ap-951	1170	9	grassmann	grassmann	NOUN
ap-951	1170	10	manifold	manifold	NOUN
ap-951	1170	11	.	.	PUNCT
ap-951	1171	1	contribution	contribution	NOUN
ap-951	1171	2	to	to	ADP
ap-951	1171	3	proceedings	proceeding	NOUN
ap-951	1171	4	of	of	ADP
ap-951	1171	5	rims	rim	NOUN
ap-951	1171	6	workshop	workshop	NOUN
ap-951	1171	7	“	"	PUNCT
ap-951	1171	8	elliptic	elliptic	ADJ
ap-951	1171	9	integrable	integrable	ADJ
ap-951	1171	10	systems	system	NOUN
ap-951	1171	11	”	"	PUNCT
ap-951	1171	12	(	(	PUNCT
ap-951	1171	13	rims	rim	NOUN
ap-951	1171	14	,	,	PUNCT
ap-951	1171	15	2004	2004	NUM
ap-951	1171	16	)	)	PUNCT
ap-951	1171	17	.	.	PUNCT
ap-951	1172	1	[	[	X
ap-951	1172	2	arxiv	arxiv	NOUN
ap-951	1172	3	:	:	PUNCT
ap-951	1172	4	nlin/0505005	nlin/0505005	PROPN
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ap-951	1173	3	]	]	X
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ap-951	1173	5	,	,	PUNCT
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ap-951	1173	7	:	:	PUNCT
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ap-951	1173	13	hitchin	hitchin	PROPN
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ap-951	1173	15	in	in	ADP
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ap-951	1173	18	.	.	PUNCT
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ap-951	1174	2	.	.	PUNCT
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ap-951	1175	2	.	.	PUNCT
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ap-951	1176	2	.	.	PUNCT
ap-951	1176	3	,	,	PUNCT
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ap-951	1176	5	.	.	PUNCT
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ap-951	1177	2	(	(	PUNCT
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ap-951	1177	4	)	)	PUNCT
ap-951	1177	5	,	,	PUNCT
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ap-951	1177	8	.	.	PUNCT
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ap-951	1178	3	e	e	NOUN
ap-951	1178	4	-	-	NOUN
ap-951	1178	5	mail	mail	NOUN
ap-951	1178	6	:	:	PUNCT
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ap-951	1178	15	,	,	PUNCT
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ap-951	1178	18	©	©	PROPN
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ap-951	1178	25	acta	acta	PROPN
ap-951	1178	26	polytechnica	polytechnica	PROPN
ap-951	1178	27	vol	vol	NOUN
ap-951	1178	28	.	.	PUNCT
ap-951	1179	1	48	48	NUM
ap-951	1179	2	no	no	NOUN
ap-951	1179	3	.	.	PUNCT
ap-951	1180	1	2/2008	2/2008	NUM
ap-951	1180	2	<	<	X
ap-951	1180	3	<	<	X
ap-951	1180	4	/ascii85encodepages	/ascii85encodepage	NOUN
ap-951	1180	5	false	false	ADJ
ap-951	1180	6	/allowtransparency	/allowtransparency	NOUN
ap-951	1180	7	false	false	ADJ
ap-951	1180	8	/autopositionepsfiles	/autopositionepsfile	NOUN
ap-951	1180	9	true	true	ADJ
ap-951	1180	10	/autorotatepages	/autorotatepage	NOUN
ap-951	1180	11	/none	/none	PUNCT
ap-951	1180	12	/binding	/binding	PUNCT
ap-951	1181	1	/left	/left	ADJ
ap-951	1182	1	/calgrayprofile	/calgrayprofile	VERB
ap-951	1182	2	(	(	PUNCT
ap-951	1182	3	dot	dot	NOUN
ap-951	1182	4	gain	gain	NOUN
ap-951	1182	5	20	20	NUM
ap-951	1182	6	%	%	NOUN
ap-951	1182	7	)	)	PUNCT
ap-951	1182	8	/calrgbprofile	/calrgbprofile	PUNCT
ap-951	1183	1	(	(	PUNCT
ap-951	1183	2	srgb	srgb	PROPN
ap-951	1183	3	iec61966	iec61966	NOUN
ap-951	1183	4	-	-	PUNCT
ap-951	1183	5	2.1	2.1	NUM
ap-951	1183	6	)	)	PUNCT
ap-951	1183	7	/calcmykprofile	/calcmykprofile	PUNCT
ap-951	1184	1	(	(	PUNCT
ap-951	1184	2	u.s	u.s	PROPN
ap-951	1184	3	.	.	PROPN
ap-951	1184	4	web	web	NOUN
ap-951	1184	5	coated	coat	VERB
ap-951	1184	6	\050swop\051	\050swop\051	ADJ
ap-951	1184	7	v2	v2	NOUN
ap-951	1184	8	)	)	PUNCT
ap-951	1184	9	/srgbprofile	/srgbprofile	PUNCT
ap-951	1184	10	(	(	PUNCT
ap-951	1184	11	srgb	srgb	PROPN
ap-951	1184	12	iec61966	iec61966	NOUN
ap-951	1184	13	-	-	PUNCT
ap-951	1184	14	2.1	2.1	NUM
ap-951	1184	15	)	)	PUNCT
ap-951	1184	16	/cannotembedfontpolicy	/cannotembedfontpolicy	PUNCT
ap-951	1185	1	/error	/error	INTJ
ap-951	1185	2	/compatibilitylevel	/compatibilitylevel	NOUN
ap-951	1186	1	1.4	1.4	NUM
ap-951	1186	2	/compressobjects	/compressobject	NOUN
ap-951	1186	3	/tags	/tag	VERB
ap-951	1186	4	/compresspages	/compresspage	NOUN
ap-951	1186	5	true	true	ADJ
ap-951	1186	6	/convertimagestoindexed	/convertimagestoindexed	ADJ
ap-951	1186	7	true	true	ADJ
ap-951	1186	8	/passthroughjpegimages	/passthroughjpegimage	NOUN
ap-951	1186	9	true	true	ADJ
ap-951	1186	10	/createjobticket	/createjobticket	NOUN
ap-951	1186	11	false	false	ADJ
ap-951	1186	12	/defaultrenderingintent	/defaultrenderingintent	NOUN
ap-951	1187	1	/default	/default	PUNCT
ap-951	1187	2	/detectblends	/detectblend	NOUN
ap-951	1188	1	false	false	ADJ
ap-951	1188	2	/detectcurves	/detectcurve	NOUN
ap-951	1188	3	0.0000	0.0000	NUM
ap-951	1188	4	/colorconversionstrategy	/colorconversionstrategy	NOUN
ap-951	1188	5	/cmyk	/cmyk	PUNCT
ap-951	1188	6	/dothumbnails	/dothumbnail	VERB
ap-951	1189	1	false	false	ADJ
ap-951	1189	2	/embedallfonts	/embedallfont	NOUN
ap-951	1189	3	true	true	ADJ
ap-951	1189	4	/embedopentype	/embedopentype	PUNCT
ap-951	1189	5	false	false	ADJ
ap-951	1189	6	/parseiccprofilesincomments	/parseiccprofilesincomment	NOUN
ap-951	1189	7	true	true	ADJ
ap-951	1189	8	/embedjoboptions	/embedjoboption	NOUN
ap-951	1189	9	true	true	ADJ
ap-951	1189	10	/dscreportinglevel	/dscreportinglevel	NOUN
ap-951	1189	11	0	0	NUM
ap-951	1189	12	/emitdscwarnings	/emitdscwarning	NOUN
ap-951	1189	13	false	false	ADJ
ap-951	1189	14	/endpage	/endpage	NOUN
ap-951	1189	15	-1	-1	NOUN
ap-951	1189	16	/imagememory	/imagememory	NUM
ap-951	1189	17	1048576	1048576	NUM
ap-951	1189	18	/lockdistillerparams	/lockdistillerparams	NOUN
ap-951	1189	19	false	false	ADJ
ap-951	1189	20	/maxsubsetpct	/maxsubsetpct	ADJ
ap-951	1189	21	100	100	NUM
ap-951	1189	22	/optimize	/optimize	NOUN
ap-951	1189	23	true	true	ADJ
ap-951	1189	24	/opm	/opm	NOUN
ap-951	1189	25	1	1	NUM
ap-951	1189	26	/parsedsccomments	/parsedsccomment	NOUN
ap-951	1189	27	true	true	ADJ
ap-951	1189	28	/parsedsccommentsfordocinfo	/parsedsccommentsfordocinfo	VERB
ap-951	1189	29	true	true	ADJ
ap-951	1189	30	/preservecopypage	/preservecopypage	NOUN
ap-951	1189	31	true	true	ADJ
ap-951	1189	32	/preservedicmykvalues	/preservedicmykvalue	NOUN
ap-951	1189	33	true	true	ADJ
ap-951	1189	34	/preserveepsinfo	/preserveepsinfo	NOUN
ap-951	1189	35	true	true	ADJ
ap-951	1189	36	/preserveflatness	/preserveflatness	NOUN
ap-951	1189	37	true	true	ADJ
ap-951	1189	38	/preservehalftoneinfo	/preservehalftoneinfo	PUNCT
ap-951	1189	39	false	false	ADJ
ap-951	1189	40	/preserveopicomments	/preserveopicomment	NOUN
ap-951	1189	41	true	true	ADJ
ap-951	1189	42	/preserveoverprintsettings	/preserveoverprintsetting	NOUN
ap-951	1189	43	true	true	ADJ
ap-951	1189	44	/startpage	/startpage	NOUN
ap-951	1189	45	1	1	NUM
ap-951	1189	46	/subsetfonts	/subsetfont	NOUN
ap-951	1189	47	true	true	ADJ
ap-951	1189	48	/transferfunctioninfo	/transferfunctioninfo	PUNCT
ap-951	1189	49	/apply	/apply	PUNCT
ap-951	1189	50	/ucrandbginfo	/ucrandbginfo	PUNCT
ap-951	1190	1	/preserve	/preserve	NOUN
ap-951	1190	2	/useprologue	/useprologue	NOUN
ap-951	1190	3	false	false	ADJ
ap-951	1190	4	/colorsettingsfile	/colorsettingsfile	NOUN
ap-951	1190	5	(	(	PUNCT
ap-951	1190	6	)	)	PUNCT
ap-951	1190	7	/alwaysembed	/alwaysembe	VERB
ap-951	1190	8	[	[	PUNCT
ap-951	1190	9	true	true	ADJ
ap-951	1190	10	]	]	PUNCT
ap-951	1190	11	/neverembed	/neverembed	PUNCT
ap-951	1191	1	[	[	PUNCT
ap-951	1191	2	true	true	ADJ
ap-951	1191	3	]	]	PUNCT
ap-951	1191	4	/antialiascolorimages	/antialiascolorimages	X
ap-951	1191	5	false	false	ADJ
ap-951	1191	6	/cropcolorimages	/cropcolorimages	PUNCT
ap-951	1191	7	true	true	ADJ
ap-951	1191	8	/colorimageminresolution	/colorimageminresolution	PUNCT
ap-951	1191	9	300	300	NUM
ap-951	1191	10	/colorimageminresolutionpolicy	/colorimageminresolutionpolicy	NOUN
ap-951	1191	11	/ok	/ok	ADJ
ap-951	1192	1	/downsamplecolorimages	/downsamplecolorimage	VERB
ap-951	1193	1	true	true	ADJ
ap-951	1193	2	/colorimagedownsampletype	/colorimagedownsampletype	PUNCT
ap-951	1193	3	/bicubic	/bicubic	NOUN
ap-951	1193	4	/colorimageresolution	/colorimageresolution	NOUN
ap-951	1194	1	300	300	NUM
ap-951	1194	2	/colorimagedepth	/colorimagedepth	PRON
ap-951	1194	3	-1	-1	INTJ
ap-951	1194	4	/colorimagemindownsampledepth	/colorimagemindownsampledepth	SYM
ap-951	1194	5	1	1	NUM
ap-951	1194	6	/colorimagedownsamplethreshold	/colorimagedownsamplethreshold	SYM
ap-951	1194	7	1.50000	1.50000	NUM
ap-951	1194	8	/encodecolorimages	/encodecolorimage	NOUN
ap-951	1194	9	true	true	ADJ
ap-951	1194	10	/colorimagefilter	/colorimagefilter	PUNCT
ap-951	1194	11	/dctencode	/dctencode	PUNCT
ap-951	1195	1	/autofiltercolorimages	/autofiltercolorimage	NOUN
ap-951	1195	2	true	true	ADJ
ap-951	1195	3	/colorimageautofilterstrategy	/colorimageautofilterstrategy	PUNCT
ap-951	1195	4	/jpeg	/jpeg	PUNCT
ap-951	1195	5	/coloracsimagedict	/coloracsimagedict	PUNCT
ap-951	1196	1	<	<	X
ap-951	1196	2	<	<	X
ap-951	1196	3	/qfactor	/qfactor	NOUN
ap-951	1196	4	0.15	0.15	NUM
ap-951	1196	5	/hsamples	/hsample	NOUN
ap-951	1197	1	[	[	X
ap-951	1197	2	1	1	NUM
ap-951	1197	3	1	1	NUM
ap-951	1197	4	1	1	NUM
ap-951	1197	5	1	1	NUM
ap-951	1197	6	]	]	PUNCT
ap-951	1197	7	/vsamples	/vsample	NOUN
ap-951	1198	1	[	[	X
ap-951	1198	2	1	1	NUM
ap-951	1198	3	1	1	NUM
ap-951	1198	4	1	1	NUM
ap-951	1198	5	1	1	NUM
ap-951	1198	6	]	]	PUNCT
ap-951	1198	7	>	>	PUNCT
ap-951	1198	8	>	>	X
ap-951	1198	9	/colorimagedict	/colorimagedict	PUNCT
ap-951	1199	1	<	<	X
ap-951	1199	2	<	<	X
ap-951	1199	3	/qfactor	/qfactor	NOUN
ap-951	1199	4	0.15	0.15	NUM
ap-951	1199	5	/hsamples	/hsample	NOUN
ap-951	1200	1	[	[	X
ap-951	1200	2	1	1	NUM
ap-951	1200	3	1	1	NUM
ap-951	1200	4	1	1	NUM
ap-951	1200	5	1	1	NUM
ap-951	1200	6	]	]	PUNCT
ap-951	1200	7	/vsamples	/vsample	NOUN
ap-951	1201	1	[	[	X
ap-951	1201	2	1	1	NUM
ap-951	1201	3	1	1	NUM
ap-951	1201	4	1	1	NUM
ap-951	1201	5	1	1	NUM
ap-951	1201	6	]	]	PUNCT
ap-951	1201	7	>	>	PUNCT
ap-951	1201	8	>	>	X
ap-951	1201	9	/jpeg2000coloracsimagedict	/jpeg2000coloracsimagedict	PUNCT
ap-951	1202	1	<	<	X
ap-951	1202	2	<	<	X
ap-951	1202	3	/tilewidth	/tilewidth	PUNCT
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ap-951	1202	5	/tileheight	/tileheight	NUM
ap-951	1202	6	256	256	NUM
ap-951	1202	7	/quality	/quality	NOUN
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ap-951	1202	9	>	>	PUNCT
ap-951	1202	10	>	>	X
ap-951	1202	11	/jpeg2000colorimagedict	/jpeg2000colorimagedict	PUNCT
ap-951	1202	12	<	<	X
ap-951	1202	13	<	<	X
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ap-951	1202	19	30	30	NUM
ap-951	1202	20	>	>	PUNCT
ap-951	1202	21	>	>	X
ap-951	1202	22	/antialiasgrayimages	/antialiasgrayimages	X
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ap-951	1203	7	-1	-1	PUNCT
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ap-951	1204	5	true	true	ADJ
ap-951	1204	6	/grayimagefilter	/grayimagefilter	NOUN
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ap-951	1205	3	/grayimageautofilterstrategy	/grayimageautofilterstrategy	INTJ
ap-951	1205	4	/jpeg	/jpeg	PUNCT
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ap-951	1206	1	<	<	X
ap-951	1206	2	<	<	X
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ap-951	1207	1	[	[	X
ap-951	1207	2	1	1	NUM
ap-951	1207	3	1	1	NUM
ap-951	1207	4	1	1	NUM
ap-951	1207	5	1	1	NUM
ap-951	1207	6	]	]	PUNCT
ap-951	1207	7	/vsamples	/vsample	NOUN
ap-951	1208	1	[	[	X
ap-951	1208	2	1	1	NUM
ap-951	1208	3	1	1	NUM
ap-951	1208	4	1	1	NUM
ap-951	1208	5	1	1	NUM
ap-951	1208	6	]	]	PUNCT
ap-951	1208	7	>	>	PUNCT
ap-951	1208	8	>	>	X
ap-951	1208	9	/grayimagedict	/grayimagedict	PUNCT
ap-951	1209	1	<	<	X
ap-951	1209	2	<	<	X
ap-951	1209	3	/qfactor	/qfactor	NOUN
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ap-951	1209	5	/hsamples	/hsample	NOUN
ap-951	1210	1	[	[	X
ap-951	1210	2	1	1	NUM
ap-951	1210	3	1	1	NUM
ap-951	1210	4	1	1	NUM
ap-951	1210	5	1	1	NUM
ap-951	1210	6	]	]	PUNCT
ap-951	1210	7	/vsamples	/vsample	NOUN
ap-951	1211	1	[	[	X
ap-951	1211	2	1	1	NUM
ap-951	1211	3	1	1	NUM
ap-951	1211	4	1	1	NUM
ap-951	1211	5	1	1	NUM
ap-951	1211	6	]	]	PUNCT
ap-951	1211	7	>	>	X
ap-951	1211	8	>	>	X
ap-951	1211	9	/jpeg2000grayacsimagedict	/jpeg2000grayacsimagedict	PUNCT
ap-951	1212	1	<	<	X
ap-951	1212	2	<	<	X
ap-951	1212	3	/tilewidth	/tilewidth	PUNCT
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ap-951	1212	5	/tileheight	/tileheight	NUM
ap-951	1212	6	256	256	NUM
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ap-951	1212	9	>	>	PUNCT
ap-951	1212	10	>	>	X
ap-951	1212	11	/jpeg2000grayimagedict	/jpeg2000grayimagedict	PUNCT
ap-951	1212	12	<	<	X
ap-951	1212	13	<	<	X
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ap-951	1212	20	>	>	PUNCT
ap-951	1212	21	>	>	X
ap-951	1212	22	/antialiasmonoimages	/antialiasmonoimage	NOUN
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ap-951	1212	24	/cropmonoimages	/cropmonoimage	NOUN
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ap-951	1214	7	-1	-1	PUNCT
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ap-951	1215	5	/monoimagefilter	/monoimagefilter	ADP
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ap-951	1215	7	/monoimagedict	/monoimagedict	PUNCT
ap-951	1216	1	<	<	X
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ap-951	1216	9	/checkcompliance	/checkcompliance	NOUN
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ap-951	1218	5	(	(	PUNCT
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ap-951	1223	12	/esp	/esp	PUNCT
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ap-951	1224	7	>	>	X
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ap-951	1224	11	>	>	X
ap-951	1224	12	/hrv	/hrv	PROPN
ap-951	1225	1	(	(	PUNCT
ap-951	1225	2	za	za	PROPN
ap-951	1225	3	stvaranje	stvaranje	PROPN
ap-951	1225	4	adobe	adobe	PROPN
ap-951	1225	5	pdf	pdf	PROPN
ap-951	1225	6	dokumenata	dokumenata	PROPN
ap-951	1225	7	najpogodnijih	najpogodnijih	PROPN
ap-951	1225	8	za	za	PROPN
ap-951	1225	9	visokokvalitetni	visokokvalitetni	VERB
ap-951	1225	10	ispis	ispis	ADJ
ap-951	1225	11	prije	prije	NOUN
ap-951	1225	12	tiskanja	tiskanja	PROPN
ap-951	1225	13	koristite	koristite	PROPN
ap-951	1225	14	ove	ove	NOUN
ap-951	1225	15	postavke	postavke	NOUN
ap-951	1225	16	.	.	PUNCT
ap-951	1226	1	stvoreni	stvoreni	ADJ
ap-951	1226	2	pdf	pdf	NOUN
ap-951	1226	3	dokumenti	dokumenti	PROPN
ap-951	1226	4	mogu	mogu	PROPN
ap-951	1226	5	se	se	X
ap-951	1226	6	otvoriti	otvoriti	PROPN
ap-951	1226	7	acrobat	acrobat	PROPN
ap-951	1227	1	i	i	PRON
ap-951	1227	2	adobe	adobe	PROPN
ap-951	1227	3	reader	reader	PROPN
ap-951	1227	4	5.0	5.0	NUM
ap-951	1227	5	i	i	PRON
ap-951	1227	6	kasnijim	kasnijim	VERB
ap-951	1227	7	verzijama	verzijama	NOUN
ap-951	1227	8	.	.	PUNCT
ap-951	1227	9	)	)	PUNCT
ap-951	1228	1	/hun	/hun	PUNCT
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ap-951	1229	3	>	>	X
ap-951	1229	4	/ita	/ita	PUNCT
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ap-951	1230	3	>	>	X
ap-951	1230	4	/jpn	/jpn	PROPN
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ap-951	1231	3	>	>	X
ap-951	1231	4	/kor	/kor	PUNCT
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ap-951	1232	3	>	>	X
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ap-951	1233	3	>	>	X
ap-951	1233	4	/lvi	/lvi	PUNCT
ap-951	1234	1	<	<	X
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ap-951	1234	3	>	>	X
ap-951	1234	4	/nld	/nld	PUNCT
ap-951	1235	1	(	(	PUNCT
ap-951	1235	2	gebruik	gebruik	NOUN
ap-951	1235	3	deze	deze	PROPN
ap-951	1235	4	instellingen	instellingen	PROPN
ap-951	1235	5	om	om	PROPN
ap-951	1235	6	adobe	adobe	PROPN
ap-951	1235	7	pdf	pdf	PROPN
ap-951	1235	8	-	-	PUNCT
ap-951	1235	9	documenten	documenten	NOUN
ap-951	1235	10	te	te	ADP
ap-951	1235	11	maken	maken	PROPN
ap-951	1235	12	die	die	PROPN
ap-951	1235	13	zijn	zijn	PROPN
ap-951	1235	14	geoptimaliseerd	geoptimaliseerd	PROPN
ap-951	1235	15	voor	voor	NOUN
ap-951	1235	16	prepress	prepress	NOUN
ap-951	1235	17	-	-	PUNCT
ap-951	1235	18	afdrukken	afdrukken	VERB
ap-951	1235	19	van	van	PROPN
ap-951	1235	20	hoge	hoge	PROPN
ap-951	1235	21	kwaliteit	kwaliteit	PROPN
ap-951	1235	22	.	.	PUNCT
ap-951	1236	1	de	de	PROPN
ap-951	1236	2	gemaakte	gemaakte	PROPN
ap-951	1236	3	pdf	pdf	NOUN
ap-951	1236	4	-	-	PUNCT
ap-951	1236	5	documenten	documenten	NOUN
ap-951	1236	6	kunnen	kunnen	PROPN
ap-951	1236	7	worden	worden	PROPN
ap-951	1236	8	geopend	geopend	PROPN
ap-951	1236	9	met	meet	VERB
ap-951	1236	10	acrobat	acrobat	PROPN
ap-951	1236	11	en	en	PROPN
ap-951	1236	12	adobe	adobe	PROPN
ap-951	1236	13	reader	reader	PROPN
ap-951	1236	14	5.0	5.0	NUM
ap-951	1236	15	en	en	ADP
ap-951	1236	16	hoger	hoger	NOUN
ap-951	1236	17	.	.	PUNCT
ap-951	1236	18	)	)	PUNCT
ap-951	1237	1	/nor	/nor	PUNCT
ap-951	1238	1	<	<	X
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ap-951	1238	4	/pol	/pol	PUNCT
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ap-951	1239	3	>	>	X
ap-951	1239	4	/ptb	/ptb	PROPN
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ap-951	1239	8	/rum	/rum	X
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ap-951	1239	11	>	>	X
ap-951	1239	12	/rus	/rus	PUNCT
ap-951	1239	13	<	<	X
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ap-951	1239	15	>	>	X
ap-951	1239	16	/sky	/sky	PUNCT
ap-951	1240	1	<	<	X
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ap-951	1240	3	>	>	X
ap-951	1240	4	/slv	/slv	X
ap-951	1240	5	<	<	X
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ap-951	1240	7	>	>	X
ap-951	1240	8	/suo	/suo	PROPN
ap-951	1241	1	<	<	AUX
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ap-951	1241	3	>	>	X
ap-951	1241	4	/sve	/sve	PROPN
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ap-951	1241	7	>	>	X
ap-951	1241	8	/tur	/tur	X
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ap-951	1241	11	>	>	X
ap-951	1241	12	/ukr	/ukr	X
ap-951	1241	13	<	<	X
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ap-951	1241	15	>	>	X
ap-951	1241	16	/enu	/enu	PUNCT
ap-951	1241	17	(	(	PUNCT
ap-951	1241	18	use	use	VERB
ap-951	1241	19	these	these	DET
ap-951	1241	20	settings	setting	NOUN
ap-951	1241	21	to	to	PART
ap-951	1241	22	create	create	VERB
ap-951	1241	23	adobe	adobe	PROPN
ap-951	1241	24	pdf	pdf	PROPN
ap-951	1241	25	documents	document	NOUN
ap-951	1241	26	best	well	ADV
ap-951	1241	27	suited	suit	VERB
ap-951	1241	28	for	for	ADP
ap-951	1241	29	high	high	ADJ
ap-951	1241	30	-	-	PUNCT
ap-951	1241	31	quality	quality	NOUN
ap-951	1241	32	prepress	prepress	NOUN
ap-951	1241	33	printing	printing	NOUN
ap-951	1241	34	.	.	PUNCT
ap-951	1242	1	created	create	VERB
ap-951	1242	2	pdf	pdf	NOUN
ap-951	1242	3	documents	document	NOUN
ap-951	1242	4	can	can	AUX
ap-951	1242	5	be	be	AUX
ap-951	1242	6	opened	open	VERB
ap-951	1242	7	with	with	ADP
ap-951	1242	8	acrobat	acrobat	PROPN
ap-951	1242	9	and	and	CCONJ
ap-951	1242	10	adobe	adobe	PROPN
ap-951	1242	11	reader	reader	PROPN
ap-951	1242	12	5.0	5.0	NUM
ap-951	1242	13	and	and	CCONJ
ap-951	1242	14	later	later	ADV
ap-951	1242	15	.	.	PUNCT
ap-951	1242	16	)	)	PUNCT
ap-951	1243	1	/cze	/cze	PUNCT
ap-951	1244	1	<	<	X
ap-951	1244	2	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	feff005400610074006f0020006e006100730074006100760065006e00ed00200070006f0075017e0069006a007400650020006b0020007600790074007600e101590065006e00ed00200064006f006b0075006d0065006e0074016f002000410064006f006200650020005000440046002c0020006b00740065007200e90020007300650020006e0065006a006c00e90070006500200068006f006400ed002000700072006f0020006b00760061006c00690074006e00ed0020007400690073006b00200061002000700072006500700072006500730073002e002000200056007900740076006f01590065006e00e900200064006f006b0075006d0065006e007400790020005000440046002000620075006400650020006d006f017e006e00e90020006f007400650076015900ed007400200076002000700072006f006700720061006d0065006300680020004100630072006f00620061007400200061002000410064006f00620065002000520065006100640065007200200035002e0030002000610020006e006f0076011b006a016100ed00630068002e	X
ap-951	1244	3	>	>	X
ap-951	1244	4	>	>	X
ap-951	1244	5	>	>	X
ap-951	1244	6	/namespace	/namespace	PUNCT
ap-951	1245	1	[	[	PUNCT
ap-951	1245	2	(	(	PUNCT
ap-951	1245	3	adobe	adobe	PROPN
ap-951	1245	4	)	)	PUNCT
ap-951	1245	5	(	(	PUNCT
ap-951	1245	6	common	common	ADJ
ap-951	1245	7	)	)	PUNCT
ap-951	1245	8	(	(	PUNCT
ap-951	1245	9	1.0	1.0	NUM
ap-951	1245	10	)	)	PUNCT
ap-951	1245	11	]	]	PUNCT
ap-951	1246	1	/othernamespaces	/othernamespace	VERB
ap-951	1246	2	[	[	PUNCT
ap-951	1246	3	<	<	X
ap-951	1246	4	<	<	X
ap-951	1246	5	/asreaderspreads	/asreaderspreads	X
ap-951	1246	6	false	false	ADJ
ap-951	1246	7	/cropimagestoframes	/cropimagestoframe	NOUN
ap-951	1246	8	true	true	ADJ
ap-951	1246	9	/errorcontrol	/errorcontrol	NOUN
ap-951	1247	1	/warnandcontinue	/warnandcontinue	PUNCT
ap-951	1247	2	/flattenerignorespreadoverrides	/flattenerignorespreadoverride	NOUN
ap-951	1247	3	false	false	ADJ
ap-951	1247	4	/includeguidesgrids	/includeguidesgrid	NOUN
ap-951	1247	5	false	false	ADJ
ap-951	1247	6	/includenonprinting	/includenonprinting	NOUN
ap-951	1247	7	false	false	ADJ
ap-951	1247	8	/includeslug	/includeslug	INTJ
ap-951	1247	9	false	false	ADJ
ap-951	1247	10	/namespace	/namespace	NOUN
ap-951	1248	1	[	[	PUNCT
ap-951	1248	2	(	(	PUNCT
ap-951	1248	3	adobe	adobe	PROPN
ap-951	1248	4	)	)	PUNCT
ap-951	1248	5	(	(	PUNCT
ap-951	1248	6	indesign	indesign	NOUN
ap-951	1248	7	)	)	PUNCT
ap-951	1248	8	(	(	PUNCT
ap-951	1248	9	4.0	4.0	NUM
ap-951	1248	10	)	)	PUNCT
ap-951	1248	11	]	]	PUNCT
ap-951	1248	12	/omitplacedbitmaps	/omitplacedbitmaps	PUNCT
ap-951	1249	1	false	false	ADJ
ap-951	1249	2	/omitplacedeps	/omitplacedeps	INTJ
ap-951	1249	3	false	false	ADJ
ap-951	1249	4	/omitplacedpdf	/omitplacedpdf	PUNCT
ap-951	1249	5	false	false	ADJ
ap-951	1249	6	/simulateoverprint	/simulateoverprint	NOUN
ap-951	1249	7	/legacy	/legacy	PUNCT
ap-951	1250	1	>	>	PUNCT
ap-951	1250	2	>	>	X
ap-951	1251	1	<	<	X
ap-951	1251	2	<	<	X
ap-951	1251	3	/addbleedmarks	/addbleedmarks	X
ap-951	1251	4	false	false	ADJ
ap-951	1251	5	/addcolorbars	/addcolorbars	INTJ
ap-951	1251	6	false	false	ADJ
ap-951	1251	7	/addcropmarks	/addcropmarks	PUNCT
ap-951	1251	8	false	false	ADJ
ap-951	1251	9	/addpageinfo	/addpageinfo	INTJ
ap-951	1251	10	false	false	ADJ
ap-951	1251	11	/addregmarks	/addregmark	NOUN
ap-951	1251	12	false	false	ADJ
ap-951	1251	13	/convertcolors	/convertcolor	NOUN
ap-951	1251	14	/converttocmyk	/converttocmyk	INTJ
ap-951	1251	15	/destinationprofilename	/destinationprofilename	PUNCT
ap-951	1251	16	(	(	PUNCT
ap-951	1251	17	)	)	PUNCT
ap-951	1251	18	/destinationprofileselector	/destinationprofileselector	NOUN
ap-951	1251	19	/documentcmyk	/documentcmyk	PUNCT
ap-951	1251	20	/downsample16bitimages	/downsample16bitimage	NOUN
ap-951	1251	21	true	true	ADJ
ap-951	1251	22	/flattenerpreset	/flattenerpreset	PUNCT
ap-951	1252	1	<	<	X
ap-951	1252	2	<	<	X
ap-951	1252	3	/presetselector	/presetselector	X
ap-951	1252	4	/mediumresolution	/mediumresolution	NOUN
ap-951	1252	5	>	>	PUNCT
ap-951	1252	6	>	>	X
ap-951	1252	7	/formelements	/formelement	NOUN
ap-951	1253	1	false	false	ADJ
ap-951	1253	2	/generatestructure	/generatestructure	PUNCT
ap-951	1253	3	false	false	ADJ
ap-951	1253	4	/includebookmarks	/includebookmark	NOUN
ap-951	1253	5	false	false	ADJ
ap-951	1253	6	/includehyperlinks	/includehyperlinks	INTJ
ap-951	1253	7	false	false	ADJ
ap-951	1253	8	/includeinteractive	/includeinteractive	ADJ
ap-951	1253	9	false	false	ADJ
ap-951	1253	10	/includelayers	/includelayer	NOUN
ap-951	1253	11	false	false	ADJ
ap-951	1253	12	/includeprofiles	/includeprofiles	INTJ
ap-951	1253	13	false	false	ADJ
ap-951	1253	14	/multimediahandling	/multimediahandling	NOUN
ap-951	1254	1	/useobjectsettings	/useobjectsettings	PRON
ap-951	1255	1	/namespace	/namespace	PUNCT
ap-951	1256	1	[	[	PUNCT
ap-951	1256	2	(	(	PUNCT
ap-951	1256	3	adobe	adobe	PROPN
ap-951	1256	4	)	)	PUNCT
ap-951	1256	5	(	(	PUNCT
ap-951	1256	6	creativesuite	creativesuite	NOUN
ap-951	1256	7	)	)	PUNCT
ap-951	1256	8	(	(	PUNCT
ap-951	1256	9	2.0	2.0	NUM
ap-951	1256	10	)	)	PUNCT
ap-951	1256	11	]	]	PUNCT
ap-951	1257	1	/pdfxoutputintentprofileselector	/pdfxoutputintentprofileselector	INTJ
ap-951	1257	2	/documentcmyk	/documentcmyk	PUNCT
ap-951	1258	1	/preserveediting	/preserveedite	VERB
ap-951	1258	2	true	true	ADJ
ap-951	1258	3	/untaggedcmykhandling	/untaggedcmykhandling	NOUN
ap-951	1258	4	/leaveuntagged	/leaveuntagge	VERB
ap-951	1258	5	/untaggedrgbhandling	/untaggedrgbhandling	NOUN
ap-951	1258	6	/usedocumentprofile	/usedocumentprofile	INTJ
ap-951	1258	7	/usedocumentbleed	/usedocumentbleed	NOUN
ap-951	1259	1	false	false	ADJ
ap-951	1259	2	>	>	PUNCT
ap-951	1259	3	>	>	X
ap-951	1259	4	]	]	PUNCT
ap-951	1259	5	>	>	PUNCT
ap-951	1259	6	>	>	X
ap-951	1259	7	setdistillerparams	setdistillerparam	NOUN
ap-951	1260	1	<	<	X
ap-951	1260	2	<	<	X
ap-951	1260	3	/hwresolution	/hwresolution	NOUN
ap-951	1261	1	[	[	X
ap-951	1261	2	2400	2400	NUM
ap-951	1261	3	2400	2400	NUM
ap-951	1261	4	]	]	PUNCT
ap-951	1261	5	/pagesize	/pagesize	X
ap-951	1262	1	[	[	X
ap-951	1262	2	612.000	612.000	NUM
ap-951	1262	3	792.000	792.000	NUM
ap-951	1262	4	]	]	PUNCT
ap-951	1262	5	>	>	PUNCT
ap-951	1262	6	>	>	X
ap-951	1262	7	setpagedevice	setpagedevice	PROPN