id	sid	tid	token	lemma	pos
ap-1370	1	1	wykresx.eps	wykresx.eps	X
ap-1370	1	2	acta	acta	PROPN
ap-1370	1	3	polytechnica	polytechnica	PROPN
ap-1370	1	4	vol	vol	NOUN
ap-1370	1	5	.	.	PUNCT
ap-1370	2	1	51	51	NUM
ap-1370	2	2	no	no	NOUN
ap-1370	2	3	.	.	PUNCT
ap-1370	3	1	1/2011	1/2011	NUM
ap-1370	3	2	toda	toda	PROPN
ap-1370	3	3	tau	tau	PROPN
ap-1370	3	4	functions	function	NOUN
ap-1370	3	5	with	with	ADP
ap-1370	3	6	quantum	quantum	ADJ
ap-1370	3	7	torus	torus	PROPN
ap-1370	3	8	symmetries	symmetry	NOUN
ap-1370	3	9	k.	k.	PROPN
ap-1370	3	10	takasaki	takasaki	PROPN
ap-1370	3	11	abstract	abstract	NOUN
ap-1370	3	12	the	the	DET
ap-1370	3	13	quantum	quantum	ADJ
ap-1370	3	14	torus	torus	NOUN
ap-1370	3	15	algebra	algebra	NOUN
ap-1370	3	16	plays	play	VERB
ap-1370	3	17	an	an	DET
ap-1370	3	18	important	important	ADJ
ap-1370	3	19	role	role	NOUN
ap-1370	3	20	in	in	ADP
ap-1370	3	21	a	a	DET
ap-1370	3	22	special	special	ADJ
ap-1370	3	23	class	class	NOUN
ap-1370	3	24	of	of	ADP
ap-1370	3	25	solutions	solution	NOUN
ap-1370	3	26	of	of	ADP
ap-1370	3	27	the	the	DET
ap-1370	3	28	toda	toda	PROPN
ap-1370	3	29	hierarchy	hierarchy	NOUN
ap-1370	3	30	.	.	PUNCT
ap-1370	4	1	typical	typical	ADJ
ap-1370	4	2	examples	example	NOUN
ap-1370	4	3	are	be	AUX
ap-1370	4	4	the	the	DET
ap-1370	4	5	solutions	solution	NOUN
ap-1370	4	6	related	relate	VERB
ap-1370	4	7	to	to	ADP
ap-1370	4	8	the	the	DET
ap-1370	4	9	melting	melting	NOUN
ap-1370	4	10	crystal	crystal	NOUN
ap-1370	4	11	model	model	NOUN
ap-1370	4	12	of	of	ADP
ap-1370	4	13	topological	topological	ADJ
ap-1370	4	14	strings	string	NOUN
ap-1370	4	15	and	and	CCONJ
ap-1370	4	16	5d	5d	NUM
ap-1370	4	17	susy	susy	NOUN
ap-1370	4	18	gauge	gauge	PROPN
ap-1370	4	19	theories	theory	NOUN
ap-1370	4	20	.	.	PUNCT
ap-1370	5	1	the	the	DET
ap-1370	5	2	quantum	quantum	ADJ
ap-1370	5	3	torus	torus	NOUN
ap-1370	5	4	algebra	algebra	NOUN
ap-1370	5	5	is	be	AUX
ap-1370	5	6	realized	realize	VERB
ap-1370	5	7	by	by	ADP
ap-1370	5	8	a	a	DET
ap-1370	5	9	2d	2d	NUM
ap-1370	5	10	complex	complex	ADJ
ap-1370	5	11	free	free	ADJ
ap-1370	5	12	fermion	fermion	NOUN
ap-1370	5	13	system	system	NOUN
ap-1370	5	14	that	that	PRON
ap-1370	5	15	underlies	underlie	VERB
ap-1370	5	16	the	the	DET
ap-1370	5	17	toda	toda	PROPN
ap-1370	5	18	hierarchy	hierarchy	NOUN
ap-1370	5	19	,	,	PUNCT
ap-1370	5	20	and	and	CCONJ
ap-1370	5	21	exhibits	exhibit	VERB
ap-1370	5	22	mysterious	mysterious	ADJ
ap-1370	5	23	“	"	PUNCT
ap-1370	5	24	shift	shift	NOUN
ap-1370	5	25	symmetries	symmetry	NOUN
ap-1370	5	26	”	"	PUNCT
ap-1370	5	27	.	.	PUNCT
ap-1370	6	1	this	this	DET
ap-1370	6	2	article	article	NOUN
ap-1370	6	3	is	be	AUX
ap-1370	6	4	based	base	VERB
ap-1370	6	5	on	on	ADP
ap-1370	6	6	collaboration	collaboration	NOUN
ap-1370	6	7	with	with	ADP
ap-1370	6	8	toshio	toshio	NOUN
ap-1370	6	9	nakatsu	nakatsu	NOUN
ap-1370	6	10	.	.	PUNCT
ap-1370	7	1	keywords	keyword	NOUN
ap-1370	7	2	:	:	PUNCT
ap-1370	7	3	toda	toda	PROPN
ap-1370	7	4	hierarchy	hierarchy	NOUN
ap-1370	7	5	,	,	PUNCT
ap-1370	7	6	melting	melt	VERB
ap-1370	7	7	crystal	crystal	NOUN
ap-1370	7	8	model	model	NOUN
ap-1370	7	9	,	,	PUNCT
ap-1370	7	10	quantum	quantum	ADJ
ap-1370	7	11	torus	torus	NOUN
ap-1370	7	12	algebra	algebra	NOUN
ap-1370	7	13	.	.	PUNCT
ap-1370	8	1	1	1	NUM
ap-1370	8	2	introduction	introduction	NOUN
ap-1370	8	3	this	this	DET
ap-1370	8	4	paper	paper	NOUN
ap-1370	8	5	is	be	AUX
ap-1370	8	6	a	a	DET
ap-1370	8	7	review	review	NOUN
ap-1370	8	8	of	of	ADP
ap-1370	8	9	our	our	PRON
ap-1370	8	10	recent	recent	ADJ
ap-1370	8	11	work	work	NOUN
ap-1370	8	12	[	[	X
ap-1370	8	13	1	1	NUM
ap-1370	8	14	,	,	PUNCT
ap-1370	8	15	2	2	NUM
ap-1370	8	16	]	]	PUNCT
ap-1370	8	17	on	on	ADP
ap-1370	8	18	an	an	DET
ap-1370	8	19	integrable	integrable	ADJ
ap-1370	8	20	structure	structure	NOUN
ap-1370	8	21	of	of	ADP
ap-1370	8	22	the	the	DET
ap-1370	8	23	melting	melting	NOUN
ap-1370	8	24	crystal	crystal	NOUN
ap-1370	8	25	model	model	NOUN
ap-1370	8	26	of	of	ADP
ap-1370	8	27	topological	topological	ADJ
ap-1370	8	28	strings	string	NOUN
ap-1370	8	29	[	[	X
ap-1370	8	30	3	3	X
ap-1370	8	31	]	]	PUNCT
ap-1370	8	32	and	and	CCONJ
ap-1370	8	33	5d	5d	NUM
ap-1370	8	34	gauge	gauge	NOUN
ap-1370	8	35	theories	theory	NOUN
ap-1370	8	36	[	[	X
ap-1370	8	37	4	4	NUM
ap-1370	8	38	]	]	PUNCT
ap-1370	8	39	.	.	PUNCT
ap-1370	9	1	it	it	PRON
ap-1370	9	2	is	be	AUX
ap-1370	9	3	shown	show	VERB
ap-1370	9	4	here	here	ADV
ap-1370	9	5	that	that	SCONJ
ap-1370	9	6	the	the	DET
ap-1370	9	7	partition	partition	NOUN
ap-1370	9	8	function	function	NOUN
ap-1370	9	9	of	of	ADP
ap-1370	9	10	this	this	DET
ap-1370	9	11	model	model	NOUN
ap-1370	9	12	,	,	PUNCT
ap-1370	9	13	on	on	ADP
ap-1370	9	14	being	be	AUX
ap-1370	9	15	suitably	suitably	ADV
ap-1370	9	16	deformed	deform	VERB
ap-1370	9	17	by	by	ADP
ap-1370	9	18	special	special	ADJ
ap-1370	9	19	external	external	ADJ
ap-1370	9	20	potentials	potential	NOUN
ap-1370	9	21	,	,	PUNCT
ap-1370	9	22	is	be	AUX
ap-1370	9	23	essentially	essentially	ADV
ap-1370	9	24	a	a	DET
ap-1370	9	25	tau	tau	NOUN
ap-1370	9	26	function	function	NOUN
ap-1370	9	27	of	of	ADP
ap-1370	9	28	the	the	DET
ap-1370	9	29	toda	toda	PROPN
ap-1370	9	30	hierarchy	hierarchy	NOUN
ap-1370	10	1	[	[	X
ap-1370	10	2	5	5	NUM
ap-1370	10	3	]	]	PUNCT
ap-1370	10	4	.	.	PUNCT
ap-1370	11	1	a	a	DET
ap-1370	11	2	technical	technical	ADJ
ap-1370	11	3	clue	clue	NOUN
ap-1370	11	4	to	to	ADP
ap-1370	11	5	this	this	DET
ap-1370	11	6	observation	observation	NOUN
ap-1370	11	7	is	be	AUX
ap-1370	11	8	a	a	DET
ap-1370	11	9	kind	kind	NOUN
ap-1370	11	10	of	of	ADP
ap-1370	11	11	symmetries	symmetry	NOUN
ap-1370	11	12	(	(	PUNCT
ap-1370	11	13	referred	refer	VERB
ap-1370	11	14	to	to	ADP
ap-1370	11	15	as	as	ADP
ap-1370	11	16	“	"	PUNCT
ap-1370	11	17	shift	shift	NOUN
ap-1370	11	18	symmetries	symmetry	NOUN
ap-1370	11	19	”	"	PUNCT
ap-1370	11	20	)	)	PUNCT
ap-1370	11	21	in	in	ADP
ap-1370	11	22	the	the	DET
ap-1370	11	23	underlying	underlie	VERB
ap-1370	11	24	quantum	quantum	ADJ
ap-1370	11	25	torus	torus	NOUN
ap-1370	11	26	algebra	algebra	NOUN
ap-1370	11	27	.	.	PUNCT
ap-1370	12	1	these	these	DET
ap-1370	12	2	symmetries	symmetry	NOUN
ap-1370	12	3	enable	enable	VERB
ap-1370	12	4	us	we	PRON
ap-1370	12	5	,	,	PUNCT
ap-1370	12	6	firstly	firstly	ADV
ap-1370	12	7	,	,	PUNCT
ap-1370	12	8	to	to	PART
ap-1370	12	9	convert	convert	VERB
ap-1370	12	10	the	the	DET
ap-1370	12	11	deformed	deform	VERB
ap-1370	12	12	partition	partition	NOUN
ap-1370	12	13	function	function	NOUN
ap-1370	12	14	to	to	ADP
ap-1370	12	15	the	the	DET
ap-1370	12	16	tau	tau	PROPN
ap-1370	12	17	function	function	NOUN
ap-1370	12	18	and	and	CCONJ
ap-1370	12	19	,	,	PUNCT
ap-1370	12	20	secondly	secondly	ADV
ap-1370	12	21	,	,	PUNCT
ap-1370	12	22	to	to	PART
ap-1370	12	23	show	show	VERB
ap-1370	12	24	the	the	DET
ap-1370	12	25	existence	existence	NOUN
ap-1370	12	26	of	of	ADP
ap-1370	12	27	hidden	hidden	ADJ
ap-1370	12	28	symmetries	symmetry	NOUN
ap-1370	12	29	of	of	ADP
ap-1370	12	30	the	the	DET
ap-1370	12	31	tau	tau	PROPN
ap-1370	12	32	function	function	NOUN
ap-1370	12	33	.	.	PUNCT
ap-1370	13	1	these	these	DET
ap-1370	13	2	results	result	NOUN
ap-1370	13	3	can	can	AUX
ap-1370	13	4	be	be	AUX
ap-1370	13	5	extended	extend	VERB
ap-1370	13	6	to	to	ADP
ap-1370	13	7	some	some	DET
ap-1370	13	8	other	other	ADJ
ap-1370	13	9	toda	toda	PROPN
ap-1370	13	10	tau	tau	PROPN
ap-1370	13	11	functions	function	NOUN
ap-1370	13	12	that	that	PRON
ap-1370	13	13	are	be	AUX
ap-1370	13	14	related	relate	VERB
ap-1370	13	15	to	to	ADP
ap-1370	13	16	the	the	DET
ap-1370	13	17	topological	topological	ADJ
ap-1370	13	18	vertex	vertex	NOUN
ap-1370	13	19	[	[	X
ap-1370	13	20	6	6	NUM
ap-1370	13	21	]	]	PUNCT
ap-1370	13	22	and	and	CCONJ
ap-1370	13	23	the	the	DET
ap-1370	13	24	double	double	ADJ
ap-1370	13	25	hurwitz	hurwitz	PROPN
ap-1370	13	26	numbers	number	NOUN
ap-1370	13	27	of	of	ADP
ap-1370	13	28	the	the	DET
ap-1370	13	29	riemann	riemann	PROPN
ap-1370	13	30	sphere	sphere	NOUN
ap-1370	14	1	[	[	X
ap-1370	14	2	7	7	NUM
ap-1370	14	3	]	]	SYM
ap-1370	14	4	.	.	PUNCT
ap-1370	14	5	2	2	NUM
ap-1370	14	6	quantum	quantum	NOUN
ap-1370	14	7	torus	torus	NOUN
ap-1370	14	8	algebra	algebra	NOUN
ap-1370	14	9	throughout	throughout	ADP
ap-1370	14	10	this	this	DET
ap-1370	14	11	paper	paper	NOUN
ap-1370	14	12	,	,	PUNCT
ap-1370	14	13	q	q	PROPN
ap-1370	14	14	denotes	denote	VERB
ap-1370	14	15	a	a	DET
ap-1370	14	16	constant	constant	ADJ
ap-1370	14	17	with	with	ADP
ap-1370	14	18	|q|	|q|	VERB
ap-1370	14	19	<	<	X
ap-1370	14	20	1	1	NUM
ap-1370	14	21	,	,	PUNCT
ap-1370	14	22	and	and	CCONJ
ap-1370	14	23	λ	λ	PROPN
ap-1370	14	24	and	and	CCONJ
ap-1370	14	25	δ	δ	PROPN
ap-1370	14	26	denote	denote	VERB
ap-1370	14	27	the	the	DET
ap-1370	14	28	z×	z×	NOUN
ap-1370	14	29	z	z	NOUN
ap-1370	14	30	matrices	matrix	NOUN
ap-1370	14	31	λ	λ	NOUN
ap-1370	14	32	=	=	SYM
ap-1370	14	33	∑	∑	PUNCT
ap-1370	14	34	i∈z	i∈z	PROPN
ap-1370	14	35	ei	ei	PROPN
ap-1370	14	36	,	,	PUNCT
ap-1370	14	37	i+1	i+1	NOUN
ap-1370	14	38	=	=	NOUN
ap-1370	14	39	(	(	PUNCT
ap-1370	14	40	δi+1,j	δi+1,j	NOUN
ap-1370	14	41	)	)	PUNCT
ap-1370	14	42	,	,	PUNCT
ap-1370	15	1	δ	δ	X
ap-1370	15	2	=	=	PUNCT
ap-1370	15	3	∑	∑	PUNCT
ap-1370	15	4	i∈z	i∈z	PROPN
ap-1370	15	5	ieii	ieii	NOUN
ap-1370	15	6	=	=	INTJ
ap-1370	15	7	(	(	PUNCT
ap-1370	15	8	iδij	iδij	PROPN
ap-1370	15	9	)	)	PUNCT
ap-1370	15	10	.	.	PUNCT
ap-1370	16	1	their	their	PRON
ap-1370	16	2	combinations	combination	NOUN
ap-1370	16	3	v(k)m	v(k)m	X
ap-1370	16	4	=	=	PUNCT
ap-1370	16	5	q−km/2λmqkδ	q−km/2λmqkδ	PROPN
ap-1370	16	6	(	(	PUNCT
ap-1370	16	7	k	k	X
ap-1370	16	8	,	,	PUNCT
ap-1370	16	9	m	m	VERB
ap-1370	16	10	∈	∈	PROPN
ap-1370	16	11	z	z	PROPN
ap-1370	16	12	)	)	PUNCT
ap-1370	16	13	(	(	PUNCT
ap-1370	16	14	1	1	X
ap-1370	16	15	)	)	PUNCT
ap-1370	16	16	satisfy	satisfy	VERB
ap-1370	16	17	the	the	DET
ap-1370	16	18	commutation	commutation	NOUN
ap-1370	16	19	relations	relation	NOUN
ap-1370	16	20	[	[	X
ap-1370	16	21	v(k)m	v(k)m	NOUN
ap-1370	16	22	,	,	PUNCT
ap-1370	16	23	v(l)n	v(l)n	NOUN
ap-1370	16	24	]	]	PUNCT
ap-1370	17	1	=	=	PUNCT
ap-1370	17	2	(	(	PUNCT
ap-1370	17	3	q	q	X
ap-1370	17	4	(	(	PUNCT
ap-1370	17	5	lm−kn)/2	lm−kn)/2	NOUN
ap-1370	17	6	−	−	PROPN
ap-1370	17	7	q(kn−lm)/2)v(k+l	q(kn−lm)/2)v(k+l	NOUN
ap-1370	17	8	)	)	PUNCT
ap-1370	17	9	m+n	m+n	NOUN
ap-1370	18	1	(	(	PUNCT
ap-1370	18	2	2	2	NUM
ap-1370	18	3	)	)	PUNCT
ap-1370	18	4	of	of	ADP
ap-1370	18	5	the	the	DET
ap-1370	18	6	quantum	quantum	ADJ
ap-1370	18	7	torus	torus	NOUN
ap-1370	18	8	algebra	algebra	NOUN
ap-1370	18	9	.	.	PUNCT
ap-1370	19	1	this	this	DET
ap-1370	19	2	lie	lie	NOUN
ap-1370	19	3	algebra	algebra	NOUN
ap-1370	19	4	can	can	AUX
ap-1370	19	5	thus	thus	ADV
ap-1370	19	6	be	be	AUX
ap-1370	19	7	embedded	embed	VERB
ap-1370	19	8	into	into	ADP
ap-1370	19	9	the	the	DET
ap-1370	19	10	lie	lie	NOUN
ap-1370	19	11	algebra	algebra	NOUN
ap-1370	19	12	gl(∞	gl(∞	PROPN
ap-1370	19	13	)	)	PUNCT
ap-1370	19	14	of	of	ADP
ap-1370	19	15	z×z	z×z	PROPN
ap-1370	19	16	matrices	matrice	VERB
ap-1370	19	17	a	a	DET
ap-1370	19	18	=	=	PUNCT
ap-1370	19	19	(	(	PUNCT
ap-1370	19	20	aij	aij	PROPN
ap-1370	19	21	)	)	PUNCT
ap-1370	19	22	for	for	ADP
ap-1370	19	23	which	which	PRON
ap-1370	19	24	∃n	∃n	ADP
ap-1370	19	25	such	such	ADJ
ap-1370	19	26	that	that	DET
ap-1370	19	27	aij	aij	PROPN
ap-1370	19	28	=	=	SYM
ap-1370	19	29	0	0	NUM
ap-1370	19	30	for	for	ADP
ap-1370	19	31	|i	|i	NOUN
ap-1370	19	32	−	−	PROPN
ap-1370	19	33	j|	j|	PROPN
ap-1370	19	34	>	>	X
ap-1370	19	35	n	n	X
ap-1370	19	36	.	.	PUNCT
ap-1370	20	1	to	to	PART
ap-1370	20	2	formulate	formulate	VERB
ap-1370	20	3	a	a	DET
ap-1370	20	4	fermionic	fermionic	NOUN
ap-1370	20	5	realization	realization	NOUN
ap-1370	20	6	of	of	ADP
ap-1370	20	7	this	this	DET
ap-1370	20	8	lie	lie	NOUN
ap-1370	20	9	algebra	algebra	NOUN
ap-1370	20	10	,	,	PUNCT
ap-1370	20	11	we	we	PRON
ap-1370	20	12	introduce	introduce	VERB
ap-1370	20	13	the	the	DET
ap-1370	20	14	creation	creation	NOUN
ap-1370	20	15	/	/	SYM
ap-1370	20	16	annihilation	annihilation	NOUN
ap-1370	20	17	operators	operator	NOUN
ap-1370	20	18	ψi	ψi	NOUN
ap-1370	20	19	,	,	PUNCT
ap-1370	20	20	ψ	ψ	VERB
ap-1370	20	21	∗	∗	NOUN
ap-1370	20	22	i	i	PRON
ap-1370	20	23	(	(	PUNCT
ap-1370	20	24	i	i	NOUN
ap-1370	20	25	∈	∈	PROPN
ap-1370	20	26	z	z	PROPN
ap-1370	20	27	)	)	PUNCT
ap-1370	20	28	with	with	ADP
ap-1370	20	29	anti	anti	ADJ
ap-1370	20	30	-	-	ADJ
ap-1370	20	31	commutation	commutation	NOUN
ap-1370	20	32	relations	relation	NOUN
ap-1370	20	33	ψiψ	ψiψ	ADP
ap-1370	20	34	∗	∗	NOUN
ap-1370	20	35	j	j	PROPN
ap-1370	20	36	+	+	CCONJ
ap-1370	20	37	ψ∗	ψ∗	PROPN
ap-1370	20	38	j	j	PROPN
ap-1370	20	39	ψi	ψi	PROPN
ap-1370	20	40	=	=	SYM
ap-1370	20	41	δi+j,0	δi+j,0	PROPN
ap-1370	20	42	,	,	PUNCT
ap-1370	20	43	ψiψj	ψiψj	PROPN
ap-1370	20	44	+	+	NUM
ap-1370	20	45	ψjψi	ψjψi	NOUN
ap-1370	20	46	=	=	SYM
ap-1370	20	47	0	0	NUM
ap-1370	20	48	,	,	PUNCT
ap-1370	20	49	ψ∗	ψ∗	NOUN
ap-1370	20	50	i	i	PRON
ap-1370	20	51	ψ∗	ψ∗	PROPN
ap-1370	20	52	j	j	PROPN
ap-1370	20	53	+	+	CCONJ
ap-1370	20	54	ψ∗	ψ∗	PROPN
ap-1370	20	55	j	j	PROPN
ap-1370	20	56	ψ∗	ψ∗	PROPN
ap-1370	20	57	i	i	PROPN
ap-1370	20	58	=	=	PUNCT
ap-1370	20	59	0	0	NUM
ap-1370	20	60	and	and	CCONJ
ap-1370	20	61	the	the	DET
ap-1370	20	62	2d	2d	NUM
ap-1370	20	63	free	free	ADJ
ap-1370	20	64	fermion	fermion	NOUN
ap-1370	20	65	fields	fields	PROPN
ap-1370	20	66	ψ(z	ψ(z	PROPN
ap-1370	20	67	)	)	PUNCT
ap-1370	20	68	=	=	PUNCT
ap-1370	21	1	∑	∑	PUNCT
ap-1370	21	2	i∈z	i∈z	PROPN
ap-1370	21	3	ψiz	ψiz	VERB
ap-1370	21	4	−i−1	−i−1	NUM
ap-1370	21	5	,	,	PUNCT
ap-1370	21	6	ψ∗(z	ψ∗(z	NOUN
ap-1370	21	7	)	)	PUNCT
ap-1370	21	8	=	=	PUNCT
ap-1370	22	1	∑	∑	PUNCT
ap-1370	22	2	i∈z	i∈z	PROPN
ap-1370	22	3	ψ∗	ψ∗	NOUN
ap-1370	22	4	i	i	NOUN
ap-1370	22	5	z−i	z−i	PROPN
ap-1370	22	6	.	.	PUNCT
ap-1370	23	1	the	the	DET
ap-1370	23	2	vacuum	vacuum	PROPN
ap-1370	23	3	states	state	NOUN
ap-1370	23	4	〈	〈	PROPN
ap-1370	23	5	0|	0|	NOUN
ap-1370	23	6	,	,	PUNCT
ap-1370	23	7	|0	|0	NUM
ap-1370	23	8	〉	〉	NUM
ap-1370	23	9	of	of	ADP
ap-1370	23	10	the	the	DET
ap-1370	23	11	fock	fock	ADJ
ap-1370	23	12	space	space	NOUN
ap-1370	23	13	and	and	CCONJ
ap-1370	23	14	its	its	PRON
ap-1370	23	15	dual	dual	ADJ
ap-1370	23	16	space	space	NOUN
ap-1370	23	17	are	be	AUX
ap-1370	23	18	characterized	characterize	VERB
ap-1370	23	19	by	by	ADP
ap-1370	23	20	the	the	DET
ap-1370	23	21	vacuum	vacuum	NOUN
ap-1370	23	22	conditions	condition	NOUN
ap-1370	23	23	ψi|0	ψi|0	VERB
ap-1370	23	24	〉	〉	NOUN
ap-1370	23	25	=	=	SYM
ap-1370	23	26	0	0	PUNCT
ap-1370	24	1	(	(	PUNCT
ap-1370	24	2	i	i	PRON
ap-1370	24	3	≥	≥	VERB
ap-1370	24	4	0	0	NUM
ap-1370	24	5	)	)	PUNCT
ap-1370	24	6	,	,	PUNCT
ap-1370	24	7	ψ∗	ψ∗	PROPN
ap-1370	24	8	i	i	PRON
ap-1370	24	9	|0	|0	NOUN
ap-1370	24	10	〉	〉	NUM
ap-1370	24	11	=	=	SYM
ap-1370	24	12	0	0	PUNCT
ap-1370	25	1	(	(	PUNCT
ap-1370	25	2	i	i	PRON
ap-1370	25	3	≥	≥	VERB
ap-1370	25	4	1	1	NUM
ap-1370	25	5	)	)	PUNCT
ap-1370	25	6	,	,	PUNCT
ap-1370	25	7	〈	〈	PROPN
ap-1370	25	8	0|ψi	0|ψi	NOUN
ap-1370	25	9	=	=	SYM
ap-1370	25	10	0	0	PUNCT
ap-1370	26	1	(	(	PUNCT
ap-1370	26	2	i	i	PRON
ap-1370	26	3	≤	≤	PROPN
ap-1370	26	4	−1	−1	NOUN
ap-1370	26	5	)	)	PUNCT
ap-1370	26	6	,	,	PUNCT
ap-1370	26	7	〈	〈	PROPN
ap-1370	26	8	0|ψ∗	0|ψ∗	VERB
ap-1370	26	9	i	i	NOUN
ap-1370	26	10	=	=	PUNCT
ap-1370	26	11	0	0	PUNCT
ap-1370	27	1	(	(	PUNCT
ap-1370	27	2	i	i	NOUN
ap-1370	27	3	≤	≤	ADJ
ap-1370	27	4	0	0	NUM
ap-1370	27	5	)	)	PUNCT
ap-1370	27	6	.	.	PUNCT
ap-1370	28	1	to	to	ADP
ap-1370	28	2	any	any	DET
ap-1370	28	3	element	element	NOUN
ap-1370	28	4	a	a	PRON
ap-1370	28	5	=	=	X
ap-1370	28	6	(	(	PUNCT
ap-1370	28	7	aij	aij	PROPN
ap-1370	28	8	)	)	PUNCT
ap-1370	28	9	of	of	ADP
ap-1370	28	10	gl(∞	gl(∞	PROPN
ap-1370	28	11	)	)	PUNCT
ap-1370	28	12	,	,	PUNCT
ap-1370	28	13	one	one	PRON
ap-1370	28	14	can	can	AUX
ap-1370	28	15	associate	associate	VERB
ap-1370	28	16	the	the	DET
ap-1370	28	17	fermion	fermion	NOUN
ap-1370	28	18	bilinear	bilinear	NOUN
ap-1370	28	19	â	â	PUNCT
ap-1370	29	1	=	=	PUNCT
ap-1370	29	2	∑	∑	PUNCT
ap-1370	29	3	i	i	PROPN
ap-1370	29	4	,	,	PUNCT
ap-1370	29	5	j∈z	j∈z	PROPN
ap-1370	29	6	aij	aij	PROPN
ap-1370	29	7	:	:	PUNCT
ap-1370	29	8	ψ−iψ	ψ−iψ	NOUN
ap-1370	29	9	∗	∗	VERB
ap-1370	29	10	j	j	PROPN
ap-1370	29	11	:	:	PUNCT
ap-1370	29	12	,	,	PUNCT
ap-1370	29	13	:	:	PUNCT
ap-1370	29	14	ψ−iψ	ψ−iψ	NOUN
ap-1370	29	15	∗	∗	VERB
ap-1370	29	16	j	j	PROPN
ap-1370	29	17	:	:	PUNCT
ap-1370	29	18	=	=	PUNCT
ap-1370	29	19	ψ−iψ	ψ−iψ	NOUN
ap-1370	29	20	∗	∗	VERB
ap-1370	29	21	j	j	PROPN
ap-1370	29	22	−	−	PROPN
ap-1370	29	23	〈	〈	PROPN
ap-1370	29	24	0|ψ−iψ	0|ψ−iψ	PROPN
ap-1370	29	25	∗	∗	NOUN
ap-1370	29	26	j	j	PROPN
ap-1370	29	27	|0	|0	NUM
ap-1370	29	28	〉	〉	PROPN
ap-1370	29	29	.	.	PUNCT
ap-1370	30	1	these	these	DET
ap-1370	30	2	fermion	fermion	NOUN
ap-1370	30	3	bilinears	bilinear	NOUN
ap-1370	30	4	form	form	VERB
ap-1370	30	5	a	a	DET
ap-1370	30	6	one	one	NUM
ap-1370	30	7	-	-	PUNCT
ap-1370	30	8	dimensional	dimensional	ADJ
ap-1370	30	9	central	central	ADJ
ap-1370	30	10	extension	extension	NOUN
ap-1370	30	11	̂gl(∞	̂gl(∞	NOUN
ap-1370	30	12	)	)	PUNCT
ap-1370	30	13	of	of	ADP
ap-1370	30	14	gl(∞	gl(∞	PROPN
ap-1370	30	15	)	)	PUNCT
ap-1370	30	16	.	.	PUNCT
ap-1370	31	1	the	the	DET
ap-1370	31	2	special	special	ADJ
ap-1370	31	3	fermion	fermion	NOUN
ap-1370	31	4	bilinears	bilinear	VERB
ap-1370	31	5	[	[	X
ap-1370	31	6	1	1	NUM
ap-1370	31	7	,	,	PUNCT
ap-1370	31	8	2	2	NUM
ap-1370	31	9	]	]	SYM
ap-1370	31	10	v	v	NOUN
ap-1370	31	11	(	(	PUNCT
ap-1370	31	12	k)m	k)m	NOUN
ap-1370	31	13	=	=	SYM
ap-1370	31	14	v̂	v̂	X
ap-1370	31	15	(	(	PUNCT
ap-1370	31	16	k	k	X
ap-1370	31	17	)	)	PUNCT
ap-1370	31	18	m	m	VERB
ap-1370	31	19	=	=	PRON
ap-1370	32	1	qk/2	qk/2	VERB
ap-1370	32	2	∮	∮	NUM
ap-1370	32	3	dz	dz	PROPN
ap-1370	32	4	2πi	2πi	NOUN
ap-1370	32	5	zm	zm	PROPN
ap-1370	33	1	:	:	PUNCT
ap-1370	34	1	ψ(qk/2z)ψ∗(q−k/2z	ψ(qk/2z)ψ∗(q−k/2z	NUM
ap-1370	34	2	):	):	PUNCT
ap-1370	34	3	(	(	PUNCT
ap-1370	34	4	3	3	X
ap-1370	34	5	)	)	PUNCT
ap-1370	34	6	satisfy	satisfy	VERB
ap-1370	34	7	the	the	DET
ap-1370	34	8	commutation	commutation	NOUN
ap-1370	34	9	relations	relation	NOUN
ap-1370	34	10	[	[	X
ap-1370	34	11	v	v	X
ap-1370	34	12	(	(	PUNCT
ap-1370	34	13	k)m	k)m	NOUN
ap-1370	34	14	,	,	PUNCT
ap-1370	34	15	v	v	NOUN
ap-1370	34	16	(	(	PUNCT
ap-1370	34	17	l)n	l)n	X
ap-1370	34	18	]	]	PUNCT
ap-1370	35	1	=	=	PUNCT
ap-1370	35	2	(	(	PUNCT
ap-1370	35	3	q	q	X
ap-1370	35	4	(	(	PUNCT
ap-1370	35	5	lm−kn)/2	lm−kn)/2	PROPN
ap-1370	35	6	−	−	PROPN
ap-1370	35	7	q(kn−lm)/2	q(kn−lm)/2	PROPN
ap-1370	35	8	)	)	PUNCT
ap-1370	35	9	·	·	PUNCT
ap-1370	35	10	(	(	PUNCT
ap-1370	35	11	v	v	X
ap-1370	35	12	(	(	PUNCT
ap-1370	35	13	k+l	k+l	NOUN
ap-1370	35	14	)	)	PUNCT
ap-1370	35	15	m+n	m+n	NOUN
ap-1370	36	1	−	−	PROPN
ap-1370	36	2	qk+l	qk+l	NOUN
ap-1370	36	3	1−	1−	NUM
ap-1370	36	4	qk+l	qk+l	DET
ap-1370	36	5	δm+n,0	δm+n,0	NOUN
ap-1370	36	6	)	)	PUNCT
ap-1370	36	7	(	(	PUNCT
ap-1370	36	8	4	4	X
ap-1370	36	9	)	)	PUNCT
ap-1370	36	10	for	for	ADP
ap-1370	36	11	k	k	PROPN
ap-1370	36	12	and	and	CCONJ
ap-1370	36	13	l	l	NOUN
ap-1370	36	14	with	with	ADP
ap-1370	36	15	k	k	PROPN
ap-1370	36	16	+	+	CCONJ
ap-1370	36	17	l	l	NOUN
ap-1370	36	18	�	�	PROPN
ap-1370	36	19	=	=	SYM
ap-1370	36	20	0	0	PUNCT
ap-1370	37	1	and	and	CCONJ
ap-1370	37	2	[	[	X
ap-1370	37	3	v	v	X
ap-1370	37	4	(	(	PUNCT
ap-1370	37	5	k)m	k)m	NOUN
ap-1370	37	6	,	,	PUNCT
ap-1370	37	7	v	v	INTJ
ap-1370	37	8	(	(	PUNCT
ap-1370	37	9	−k	−k	NOUN
ap-1370	37	10	)	)	PUNCT
ap-1370	37	11	n	n	NOUN
ap-1370	37	12	]	]	PUNCT
ap-1370	37	13	=	=	SYM
ap-1370	37	14	(	(	PUNCT
ap-1370	37	15	q−k(m+n)/2	q−k(m+n)/2	NOUN
ap-1370	37	16	−	−	PROPN
ap-1370	37	17	qk(m+n)/2	qk(m+n)/2	NUM
ap-1370	37	18	)	)	PUNCT
ap-1370	37	19	·	·	PUNCT
ap-1370	37	20	v	v	X
ap-1370	37	21	(	(	PUNCT
ap-1370	37	22	0	0	NUM
ap-1370	37	23	)	)	PUNCT
ap-1370	37	24	m+n	m+n	PUNCT
ap-1370	38	1	+	+	NOUN
ap-1370	38	2	mδm+n,0	mδm+n,0	PROPN
ap-1370	38	3	.	.	PUNCT
ap-1370	39	1	(	(	PUNCT
ap-1370	39	2	5	5	NUM
ap-1370	39	3	)	)	PUNCT
ap-1370	39	4	74	74	NUM
ap-1370	39	5	acta	acta	PROPN
ap-1370	39	6	polytechnica	polytechnica	PROPN
ap-1370	39	7	vol	vol	NOUN
ap-1370	39	8	.	.	PUNCT
ap-1370	40	1	51	51	NUM
ap-1370	40	2	no	no	NOUN
ap-1370	40	3	.	.	PUNCT
ap-1370	41	1	1/2011	1/2011	NUM
ap-1370	41	2	thus	thus	ADV
ap-1370	41	3	̂gl(∞	̂gl(∞	X
ap-1370	41	4	)	)	PUNCT
ap-1370	41	5	contains	contain	VERB
ap-1370	41	6	a	a	DET
ap-1370	41	7	central	central	ADJ
ap-1370	41	8	extension	extension	NOUN
ap-1370	41	9	of	of	ADP
ap-1370	41	10	the	the	DET
ap-1370	41	11	quantum	quantum	ADJ
ap-1370	41	12	torus	torus	NOUN
ap-1370	41	13	algebra	algebra	NOUN
ap-1370	41	14	,	,	PUNCT
ap-1370	41	15	in	in	ADP
ap-1370	41	16	which	which	PRON
ap-1370	41	17	the	the	DET
ap-1370	41	18	û(1	û(1	NOUN
ap-1370	41	19	)	)	PUNCT
ap-1370	41	20	algebra	algebra	NOUN
ap-1370	41	21	is	be	AUX
ap-1370	41	22	realized	realize	VERB
ap-1370	41	23	by	by	ADP
ap-1370	41	24	jm	jm	PROPN
ap-1370	41	25	=	=	SYM
ap-1370	41	26	v	v	PROPN
ap-1370	41	27	(	(	PUNCT
ap-1370	41	28	0)m	0)m	NOUN
ap-1370	41	29	=	=	SYM
ap-1370	41	30	λ̂m	λ̂m	PUNCT
ap-1370	41	31	(	(	PUNCT
ap-1370	41	32	m	m	PROPN
ap-1370	41	33	∈	∈	PROPN
ap-1370	41	34	z	z	PROPN
ap-1370	41	35	)	)	PUNCT
ap-1370	41	36	.	.	PUNCT
ap-1370	42	1	(	(	PUNCT
ap-1370	42	2	6	6	NUM
ap-1370	42	3	)	)	SYM
ap-1370	42	4	3	3	NUM
ap-1370	42	5	shift	shift	NOUN
ap-1370	42	6	symmetries	symmetry	NOUN
ap-1370	42	7	let	let	VERB
ap-1370	42	8	us	we	PRON
ap-1370	42	9	introduce	introduce	VERB
ap-1370	42	10	the	the	DET
ap-1370	42	11	operators	operator	NOUN
ap-1370	42	12	g±	g±	NOUN
ap-1370	42	13	=	=	SYM
ap-1370	42	14	exp	exp	NOUN
ap-1370	42	15	(	(	PUNCT
ap-1370	42	16	∞∑	∞∑	NUM
ap-1370	42	17	k=1	k=1	PUNCT
ap-1370	42	18	qk/2	qk/2	INTJ
ap-1370	42	19	k(1	k(1	PROPN
ap-1370	42	20	−	−	PROPN
ap-1370	42	21	qk	qk	PROPN
ap-1370	42	22	)	)	PUNCT
ap-1370	42	23	j±k	j±k	PROPN
ap-1370	42	24	)	)	PUNCT
ap-1370	42	25	,	,	PUNCT
ap-1370	42	26	w0	w0	PROPN
ap-1370	42	27	=	=	SYM
ap-1370	42	28	∑	∑	PROPN
ap-1370	42	29	n∈z	n∈z	PRON
ap-1370	42	30	n2	n2	NOUN
ap-1370	42	31	:	:	PUNCT
ap-1370	42	32	ψ−nψ∗	ψ−nψ∗	NOUN
ap-1370	42	33	n	n	CCONJ
ap-1370	42	34	:	:	PUNCT
ap-1370	42	35	.	.	PUNCT
ap-1370	43	1	(	(	PUNCT
ap-1370	43	2	7	7	X
ap-1370	43	3	)	)	PUNCT
ap-1370	43	4	g±	g±	NOUN
ap-1370	43	5	’s	’s	ADV
ap-1370	43	6	play	play	VERB
ap-1370	43	7	the	the	DET
ap-1370	43	8	role	role	NOUN
ap-1370	43	9	of	of	ADP
ap-1370	43	10	“	"	PUNCT
ap-1370	43	11	transfer	transfer	NOUN
ap-1370	43	12	matrices	matrix	NOUN
ap-1370	43	13	”	"	PUNCT
ap-1370	43	14	in	in	ADP
ap-1370	43	15	the	the	DET
ap-1370	43	16	melting	melting	NOUN
ap-1370	43	17	crystal	crystal	NOUN
ap-1370	43	18	model	model	NOUN
ap-1370	43	19	[	[	X
ap-1370	43	20	3	3	NUM
ap-1370	43	21	,	,	PUNCT
ap-1370	43	22	4	4	NUM
ap-1370	43	23	]	]	PUNCT
ap-1370	43	24	.	.	PUNCT
ap-1370	44	1	w0	w0	PROPN
ap-1370	44	2	is	be	AUX
ap-1370	44	3	a	a	DET
ap-1370	44	4	fermionic	fermionic	NOUN
ap-1370	44	5	form	form	NOUN
ap-1370	44	6	of	of	ADP
ap-1370	44	7	the	the	DET
ap-1370	44	8	so	so	ADV
ap-1370	44	9	called	call	VERB
ap-1370	44	10	“	"	PUNCT
ap-1370	44	11	cut	cut	VERB
ap-1370	44	12	-	-	PUNCT
ap-1370	44	13	and	and	CCONJ
ap-1370	44	14	-	-	PUNCT
ap-1370	44	15	join	join	VERB
ap-1370	44	16	”	"	PUNCT
ap-1370	44	17	operator	operator	NOUN
ap-1370	44	18	for	for	ADP
ap-1370	44	19	hurwitz	hurwitz	PROPN
ap-1370	44	20	numbers	number	NOUN
ap-1370	44	21	[	[	X
ap-1370	44	22	8	8	NUM
ap-1370	44	23	]	]	PUNCT
ap-1370	44	24	.	.	PUNCT
ap-1370	45	1	g±	g±	NOUN
ap-1370	45	2	and	and	CCONJ
ap-1370	45	3	qw0/2	qw0/2	PROPN
ap-1370	45	4	induce	induce	VERB
ap-1370	45	5	the	the	DET
ap-1370	45	6	following	follow	VERB
ap-1370	45	7	two	two	NUM
ap-1370	45	8	types	type	NOUN
ap-1370	45	9	of	of	ADP
ap-1370	45	10	“	"	PUNCT
ap-1370	45	11	shift	shift	NOUN
ap-1370	45	12	symmetries	symmetry	NOUN
ap-1370	45	13	”	"	PUNCT
ap-1370	46	1	[	[	X
ap-1370	46	2	1	1	NUM
ap-1370	46	3	,	,	PUNCT
ap-1370	46	4	2	2	NUM
ap-1370	46	5	]	]	PUNCT
ap-1370	46	6	in	in	ADP
ap-1370	46	7	the	the	DET
ap-1370	46	8	(	(	PUNCT
ap-1370	46	9	centrally	centrally	ADV
ap-1370	46	10	extended	extended	ADJ
ap-1370	46	11	)	)	PUNCT
ap-1370	46	12	quantum	quantum	NOUN
ap-1370	46	13	torus	torus	NOUN
ap-1370	46	14	algebra	algebra	NOUN
ap-1370	46	15	.	.	PUNCT
ap-1370	47	1	•	•	NUM
ap-1370	47	2	first	first	ADJ
ap-1370	47	3	shift	shift	NOUN
ap-1370	47	4	symmetry	symmetry	NOUN
ap-1370	47	5	g−g+	g−g+	PROPN
ap-1370	47	6	(	(	PUNCT
ap-1370	47	7	v	v	NOUN
ap-1370	47	8	(	(	PUNCT
ap-1370	47	9	k)m	k)m	NOUN
ap-1370	48	1	−	−	ADP
ap-1370	48	2	δm,0	δm,0	ADJ
ap-1370	48	3	qk	qk	ADP
ap-1370	48	4	1−	1−	NUM
ap-1370	48	5	qk	qk	NOUN
ap-1370	48	6	)	)	PUNCT
ap-1370	48	7	(	(	PUNCT
ap-1370	48	8	g−g+)−1	g−g+)−1	NOUN
ap-1370	48	9	=	=	SYM
ap-1370	48	10	(	(	PUNCT
ap-1370	48	11	−1)k	−1)k	PROPN
ap-1370	48	12	(	(	PUNCT
ap-1370	48	13	v	v	X
ap-1370	48	14	(	(	PUNCT
ap-1370	48	15	k	k	NOUN
ap-1370	48	16	)	)	PUNCT
ap-1370	48	17	m+k	m+k	NOUN
ap-1370	49	1	−	−	PROPN
ap-1370	49	2	δm+k,0	δm+k,0	PROPN
ap-1370	49	3	qk	qk	ADP
ap-1370	49	4	1−	1−	NUM
ap-1370	49	5	qk	qk	NOUN
ap-1370	49	6	)	)	PUNCT
ap-1370	49	7	(	(	PUNCT
ap-1370	49	8	8)	8)	NUM
ap-1370	49	9	•	•	NUM
ap-1370	49	10	second	second	ADJ
ap-1370	49	11	shift	shift	NOUN
ap-1370	49	12	symmetry	symmetry	NOUN
ap-1370	49	13	qw0/2v	qw0/2v	PROPN
ap-1370	49	14	(	(	PUNCT
ap-1370	49	15	k)m	k)m	NOUN
ap-1370	49	16	q−w0/2	q−w0/2	PROPN
ap-1370	50	1	=	=	SYM
ap-1370	50	2	v	v	PROPN
ap-1370	50	3	(	(	PUNCT
ap-1370	50	4	k−m	k−m	PROPN
ap-1370	50	5	)	)	PUNCT
ap-1370	50	6	m	m	PROPN
ap-1370	50	7	(	(	PUNCT
ap-1370	50	8	9	9	NUM
ap-1370	50	9	)	)	PUNCT
ap-1370	50	10	4	4	NUM
ap-1370	50	11	toda	toda	NOUN
ap-1370	50	12	tau	tau	PROPN
ap-1370	50	13	function	function	VERB
ap-1370	50	14	in	in	ADP
ap-1370	50	15	melting	melt	VERB
ap-1370	50	16	crystal	crystal	NOUN
ap-1370	50	17	model	model	NOUN
ap-1370	50	18	a	a	DET
ap-1370	50	19	general	general	ADJ
ap-1370	50	20	tau	tau	PROPN
ap-1370	50	21	function	function	NOUN
ap-1370	50	22	of	of	ADP
ap-1370	50	23	the	the	DET
ap-1370	50	24	2d	2d	NUM
ap-1370	50	25	toda	toda	NOUN
ap-1370	50	26	hierarchy	hierarchy	NOUN
ap-1370	51	1	[	[	X
ap-1370	51	2	5	5	X
ap-1370	51	3	]	]	PUNCT
ap-1370	51	4	is	be	AUX
ap-1370	51	5	given	give	VERB
ap-1370	51	6	by	by	ADP
ap-1370	51	7	τ(s	τ(s	PROPN
ap-1370	51	8	,	,	PUNCT
ap-1370	51	9	t	t	PROPN
ap-1370	51	10	,	,	PUNCT
ap-1370	51	11	t̄	t̄	PROPN
ap-1370	51	12	)	)	PUNCT
ap-1370	52	1	=	=	PUNCT
ap-1370	53	1	〈	〈	NOUN
ap-1370	53	2	s|	s|	ADJ
ap-1370	53	3	exp	exp	NOUN
ap-1370	53	4	(	(	PUNCT
ap-1370	53	5	∞∑	∞∑	NUM
ap-1370	53	6	k=1	k=1	ADJ
ap-1370	53	7	tkjk	tkjk	NOUN
ap-1370	53	8	)	)	PUNCT
ap-1370	53	9	g	g	PROPN
ap-1370	53	10	exp	exp	NOUN
ap-1370	53	11	(	(	PUNCT
ap-1370	53	12	−	−	PROPN
ap-1370	53	13	∞∑	∞∑	NUM
ap-1370	53	14	k=1	k=1	NOUN
ap-1370	53	15	t̄kj−k	t̄kj−k	NOUN
ap-1370	53	16	)	)	PUNCT
ap-1370	53	17	|s	|s	PROPN
ap-1370	53	18	〉	〉	PROPN
ap-1370	53	19	,	,	PUNCT
ap-1370	53	20	(	(	PUNCT
ap-1370	53	21	10	10	NUM
ap-1370	53	22	)	)	PUNCT
ap-1370	53	23	where	where	SCONJ
ap-1370	53	24	t	t	NOUN
ap-1370	53	25	=	=	SYM
ap-1370	53	26	(	(	PUNCT
ap-1370	53	27	t1	t1	NOUN
ap-1370	53	28	,	,	PUNCT
ap-1370	53	29	t2	t2	NOUN
ap-1370	53	30	,	,	PUNCT
ap-1370	53	31	·	·	PUNCT
ap-1370	53	32	·	·	PUNCT
ap-1370	53	33	·	·	PUNCT
ap-1370	53	34	)	)	PUNCT
ap-1370	53	35	and	and	CCONJ
ap-1370	53	36	t̄	t̄	NOUN
ap-1370	53	37	=	=	SYM
ap-1370	53	38	(	(	PUNCT
ap-1370	53	39	t̄1	t̄1	NOUN
ap-1370	53	40	,	,	PUNCT
ap-1370	53	41	t̄2	t̄2	NOUN
ap-1370	53	42	,	,	PUNCT
ap-1370	53	43	·	·	PUNCT
ap-1370	53	44	·	·	PUNCT
ap-1370	53	45	·	·	PUNCT
ap-1370	53	46	)	)	PUNCT
ap-1370	53	47	are	be	AUX
ap-1370	53	48	time	time	NOUN
ap-1370	53	49	variables	variable	NOUN
ap-1370	53	50	of	of	ADP
ap-1370	53	51	the	the	DET
ap-1370	53	52	toda	toda	PROPN
ap-1370	53	53	hierarchy	hierarchy	NOUN
ap-1370	53	54	,	,	PUNCT
ap-1370	53	55	〈	〈	PROPN
ap-1370	53	56	s|	s|	PROPN
ap-1370	53	57	and	and	CCONJ
ap-1370	53	58	|s	|s	PROPN
ap-1370	53	59	〉	〉	PROPN
ap-1370	53	60	are	be	AUX
ap-1370	53	61	the	the	DET
ap-1370	53	62	ground	ground	NOUN
ap-1370	53	63	states	state	NOUN
ap-1370	53	64	〈	〈	PROPN
ap-1370	53	65	s|	s|	NOUN
ap-1370	53	66	=	=	PUNCT
ap-1370	54	1	〈	〈	NOUN
ap-1370	54	2	−∞|	−∞|	X
ap-1370	54	3	·	·	PUNCT
ap-1370	54	4	·	·	PUNCT
ap-1370	54	5	·	·	PUNCT
ap-1370	54	6	ψ∗	ψ∗	NOUN
ap-1370	54	7	s−1ψ	s−1ψ	VERB
ap-1370	54	8	∗	∗	X
ap-1370	54	9	s	s	NOUN
ap-1370	54	10	,	,	PUNCT
ap-1370	54	11	|s	|s	PROPN
ap-1370	54	12	〉	〉	NUM
ap-1370	54	13	=	=	SYM
ap-1370	54	14	ψ−sψ−s+1	ψ−sψ−s+1	PROPN
ap-1370	54	15	·	·	PUNCT
ap-1370	54	16	·	·	PUNCT
ap-1370	54	17	·	·	PUNCT
ap-1370	55	1	|	|	ADV
ap-1370	55	2	−∞	−∞	ADP
ap-1370	55	3	〉	〉	NOUN
ap-1370	55	4	in	in	ADP
ap-1370	55	5	the	the	DET
ap-1370	55	6	charge	charge	NOUN
ap-1370	55	7	-	-	PUNCT
ap-1370	55	8	s	s	NOUN
ap-1370	55	9	sector	sector	NOUN
ap-1370	55	10	of	of	ADP
ap-1370	55	11	the	the	DET
ap-1370	55	12	fock	fock	ADJ
ap-1370	55	13	space	space	NOUN
ap-1370	55	14	,	,	PUNCT
ap-1370	55	15	and	and	CCONJ
ap-1370	55	16	g	g	NOUN
ap-1370	55	17	is	be	AUX
ap-1370	55	18	an	an	DET
ap-1370	55	19	element	element	NOUN
ap-1370	55	20	of	of	ADP
ap-1370	55	21	gl(∞	gl(∞	PROPN
ap-1370	55	22	)	)	PUNCT
ap-1370	56	1	=	=	NOUN
ap-1370	56	2	exp	exp	NOUN
ap-1370	56	3	(	(	PUNCT
ap-1370	56	4	gl(∞	gl(∞	PROPN
ap-1370	56	5	)	)	PUNCT
ap-1370	56	6	)	)	PUNCT
ap-1370	56	7	.	.	PUNCT
ap-1370	57	1	on	on	ADP
ap-1370	57	2	the	the	DET
ap-1370	57	3	other	other	ADJ
ap-1370	57	4	hand	hand	NOUN
ap-1370	57	5	,	,	PUNCT
ap-1370	57	6	the	the	DET
ap-1370	57	7	partition	partition	NOUN
ap-1370	57	8	function	function	VERB
ap-1370	57	9	z(q	z(q	PROPN
ap-1370	57	10	,	,	PUNCT
ap-1370	57	11	s	s	PROPN
ap-1370	57	12	,	,	PUNCT
ap-1370	57	13	t	t	PROPN
ap-1370	57	14	)	)	PUNCT
ap-1370	57	15	of	of	ADP
ap-1370	57	16	the	the	DET
ap-1370	57	17	deformed	deform	VERB
ap-1370	57	18	melting	melting	NOUN
ap-1370	57	19	crystal	crystal	NOUN
ap-1370	57	20	model	model	NOUN
ap-1370	57	21	[	[	X
ap-1370	57	22	1	1	NUM
ap-1370	57	23	,	,	PUNCT
ap-1370	57	24	2	2	NUM
ap-1370	57	25	]	]	PUNCT
ap-1370	57	26	can	can	AUX
ap-1370	57	27	be	be	AUX
ap-1370	57	28	cast	cast	VERB
ap-1370	57	29	into	into	ADP
ap-1370	57	30	the	the	DET
ap-1370	57	31	apparently	apparently	ADV
ap-1370	57	32	similar	similar	ADJ
ap-1370	57	33	(	(	PUNCT
ap-1370	57	34	but	but	CCONJ
ap-1370	57	35	essentially	essentially	ADV
ap-1370	57	36	different	different	ADJ
ap-1370	57	37	)	)	PUNCT
ap-1370	57	38	form	form	NOUN
ap-1370	57	39	z(s	z(s	PROPN
ap-1370	57	40	,	,	PUNCT
ap-1370	57	41	t	t	PROPN
ap-1370	57	42	)	)	PUNCT
ap-1370	57	43	=	=	PUNCT
ap-1370	58	1	〈	〈	PROPN
ap-1370	58	2	s|g+eh(t)ql0g−|s	s|g+eh(t)ql0g−|s	NOUN
ap-1370	58	3	〉	〉	NUM
ap-1370	58	4	,	,	PUNCT
ap-1370	58	5	(	(	PUNCT
ap-1370	58	6	11	11	NUM
ap-1370	58	7	)	)	PUNCT
ap-1370	58	8	where	where	SCONJ
ap-1370	58	9	q	q	NOUN
ap-1370	58	10	and	and	CCONJ
ap-1370	58	11	t	t	NOUN
ap-1370	58	12	=	=	SYM
ap-1370	58	13	(	(	PUNCT
ap-1370	58	14	t1	t1	NOUN
ap-1370	58	15	,	,	PUNCT
ap-1370	58	16	t2	t2	NOUN
ap-1370	58	17	,	,	PUNCT
ap-1370	58	18	·	·	PUNCT
ap-1370	58	19	·	·	PUNCT
ap-1370	58	20	·	·	PUNCT
ap-1370	58	21	)	)	PUNCT
ap-1370	58	22	are	be	AUX
ap-1370	58	23	coupling	couple	VERB
ap-1370	58	24	constants	constant	NOUN
ap-1370	58	25	of	of	ADP
ap-1370	58	26	the	the	DET
ap-1370	58	27	model	model	NOUN
ap-1370	58	28	,	,	PUNCT
ap-1370	58	29	and	and	CCONJ
ap-1370	58	30	h(t	h(t	NUM
ap-1370	58	31	)	)	PUNCT
ap-1370	58	32	and	and	CCONJ
ap-1370	58	33	l0	l0	VERB
ap-1370	58	34	the	the	DET
ap-1370	58	35	following	follow	VERB
ap-1370	58	36	operators	operator	NOUN
ap-1370	58	37	:	:	PUNCT
ap-1370	58	38	h(t	h(t	X
ap-1370	58	39	)	)	PUNCT
ap-1370	58	40	=	=	PUNCT
ap-1370	59	1	∞∑	∞∑	NUM
ap-1370	59	2	k=1	k=1	NOUN
ap-1370	59	3	tkhk	tkhk	NOUN
ap-1370	59	4	,	,	PUNCT
ap-1370	59	5	hk	hk	PROPN
ap-1370	59	6	=	=	SYM
ap-1370	59	7	v	v	PROPN
ap-1370	59	8	(	(	PUNCT
ap-1370	59	9	k	k	NOUN
ap-1370	59	10	)	)	PUNCT
ap-1370	59	11	0	0	NUM
ap-1370	59	12	,	,	PUNCT
ap-1370	59	13	l0	l0	PROPN
ap-1370	59	14	=	=	PUNCT
ap-1370	59	15	∑	∑	PROPN
ap-1370	59	16	n∈z	n∈z	PROPN
ap-1370	59	17	n	n	NUM
ap-1370	59	18	:	:	PUNCT
ap-1370	59	19	ψ−nψ∗	ψ−nψ∗	NOUN
ap-1370	59	20	n	n	CCONJ
ap-1370	59	21	:	:	PUNCT
ap-1370	59	22	.	.	PUNCT
ap-1370	60	1	(	(	PUNCT
ap-1370	60	2	12	12	NUM
ap-1370	60	3	)	)	PUNCT
ap-1370	60	4	the	the	DET
ap-1370	60	5	shift	shift	NOUN
ap-1370	60	6	symmetries	symmetry	NOUN
ap-1370	60	7	(	(	PUNCT
ap-1370	60	8	8)	8)	NUM
ap-1370	60	9	and	and	CCONJ
ap-1370	60	10	(	(	PUNCT
ap-1370	60	11	9	9	X
ap-1370	60	12	)	)	PUNCT
ap-1370	60	13	imply	imply	VERB
ap-1370	60	14	the	the	DET
ap-1370	60	15	operator	operator	NOUN
ap-1370	60	16	identity	identity	NOUN
ap-1370	60	17	g+eh(t)g−1	g+eh(t)g−1	PUNCT
ap-1370	61	1	+	+	CCONJ
ap-1370	61	2	=	=	SYM
ap-1370	61	3	exp	exp	NOUN
ap-1370	61	4	(	(	PUNCT
ap-1370	61	5	∞∑	∞∑	NUM
ap-1370	61	6	k=1	k=1	PUNCT
ap-1370	61	7	tkqk	tkqk	PROPN
ap-1370	61	8	1−	1−	NUM
ap-1370	61	9	qk	qk	NOUN
ap-1370	61	10	)	)	PUNCT
ap-1370	62	1	g−1	g−1	ADV
ap-1370	62	2	−	−	X
ap-1370	62	3	q−w0/2	q−w0/2	PROPN
ap-1370	62	4	·	·	PUNCT
ap-1370	62	5	exp	exp	NOUN
ap-1370	62	6	(	(	PUNCT
ap-1370	62	7	∞∑	∞∑	NUM
ap-1370	62	8	k=1	k=1	X
ap-1370	62	9	(	(	PUNCT
ap-1370	62	10	−1)ktkjk	−1)ktkjk	PROPN
ap-1370	62	11	)	)	PUNCT
ap-1370	62	12	qw0/2g−.	qw0/2g−.	VERB
ap-1370	62	13	inserting	insert	VERB
ap-1370	62	14	this	this	DET
ap-1370	62	15	identity	identity	NOUN
ap-1370	62	16	and	and	CCONJ
ap-1370	62	17	using	use	VERB
ap-1370	62	18	the	the	DET
ap-1370	62	19	fact	fact	NOUN
ap-1370	62	20	that	that	SCONJ
ap-1370	62	21	〈	〈	PROPN
ap-1370	62	22	s|g−1	s|g−1	X
ap-1370	62	23	−	−	PROPN
ap-1370	62	24	q−w0/2	q−w0/2	PROPN
ap-1370	62	25	=	=	SYM
ap-1370	62	26	q−s(s+1)(2s+1)/12〈s|	q−s(s+1)(2s+1)/12〈s|	PROPN
ap-1370	62	27	,	,	PUNCT
ap-1370	62	28	q−w0/2g−1	q−w0/2g−1	PUNCT
ap-1370	62	29	+	+	CCONJ
ap-1370	62	30	|s	|s	PROPN
ap-1370	62	31	〉	〉	NOUN
ap-1370	62	32	=	=	PUNCT
ap-1370	62	33	q−s(s+1)(2s+1)/12|s	q−s(s+1)(2s+1)/12|s	ADP
ap-1370	62	34	〉	〉	PROPN
ap-1370	62	35	,	,	PUNCT
ap-1370	62	36	we	we	PRON
ap-1370	62	37	can	can	AUX
ap-1370	62	38	rewrite	rewrite	VERB
ap-1370	62	39	z(s	z(s	PROPN
ap-1370	62	40	,	,	PUNCT
ap-1370	62	41	t	t	PROPN
ap-1370	62	42	)	)	PUNCT
ap-1370	62	43	as	as	ADP
ap-1370	62	44	z(q	z(q	PROPN
ap-1370	62	45	,	,	PUNCT
ap-1370	62	46	s	s	PROPN
ap-1370	62	47	,	,	PUNCT
ap-1370	62	48	t	t	PROPN
ap-1370	62	49	)	)	PUNCT
ap-1370	62	50	=	=	SYM
ap-1370	62	51	exp	exp	NOUN
ap-1370	62	52	(	(	PUNCT
ap-1370	62	53	∞∑	∞∑	NUM
ap-1370	62	54	k=1	k=1	PUNCT
ap-1370	62	55	tkqk	tkqk	PROPN
ap-1370	62	56	1−	1−	NUM
ap-1370	62	57	qk	qk	NOUN
ap-1370	62	58	)	)	PUNCT
ap-1370	62	59	·	·	PUNCT
ap-1370	63	1	q−s(s+1)(2s+1)/6τ(s	q−s(s+1)(2s+1)/6τ(s	NOUN
ap-1370	63	2	,	,	PUNCT
ap-1370	63	3	t	t	PROPN
ap-1370	63	4	,	,	PUNCT
ap-1370	63	5	0	0	NUM
ap-1370	63	6	)	)	PUNCT
ap-1370	63	7	,	,	PUNCT
ap-1370	63	8	(	(	PUNCT
ap-1370	63	9	13	13	X
ap-1370	63	10	)	)	PUNCT
ap-1370	63	11	tk	tk	NOUN
ap-1370	64	1	=	=	SYM
ap-1370	64	2	(	(	PUNCT
ap-1370	64	3	−1)ktk	−1)ktk	PROPN
ap-1370	64	4	,	,	PUNCT
ap-1370	64	5	where	where	SCONJ
ap-1370	64	6	the	the	DET
ap-1370	64	7	gl(∞	gl(∞	PROPN
ap-1370	64	8	)	)	PUNCT
ap-1370	64	9	element	element	NOUN
ap-1370	64	10	g	g	NOUN
ap-1370	64	11	defining	define	VERB
ap-1370	64	12	the	the	DET
ap-1370	64	13	tau	tau	PROPN
ap-1370	64	14	function	function	NOUN
ap-1370	64	15	is	be	AUX
ap-1370	64	16	given	give	VERB
ap-1370	64	17	by	by	ADP
ap-1370	64	18	g	g	PROPN
ap-1370	64	19	=	=	PUNCT
ap-1370	64	20	qw0/2g−g+ql0g−g+qw0/2	qw0/2g−g+ql0g−g+qw0/2	PROPN
ap-1370	64	21	.	.	PUNCT
ap-1370	65	1	(	(	PUNCT
ap-1370	65	2	14	14	NUM
ap-1370	65	3	)	)	PUNCT
ap-1370	65	4	actually	actually	ADV
ap-1370	65	5	,	,	PUNCT
ap-1370	65	6	the	the	DET
ap-1370	65	7	shift	shift	NOUN
ap-1370	65	8	symmetries	symmetry	NOUN
ap-1370	65	9	imply	imply	VERB
ap-1370	65	10	the	the	DET
ap-1370	65	11	operator	operator	NOUN
ap-1370	65	12	identity	identity	NOUN
ap-1370	65	13	g−1	g−1	PROPN
ap-1370	65	14	−	−	PROPN
ap-1370	65	15	eh(t)g−	eh(t)g−	NOUN
ap-1370	65	16	=	=	SYM
ap-1370	65	17	exp	exp	NOUN
ap-1370	65	18	(	(	PUNCT
ap-1370	65	19	∞∑	∞∑	NUM
ap-1370	65	20	k=1	k=1	PUNCT
ap-1370	65	21	tkqk	tkqk	PROPN
ap-1370	65	22	1−	1−	NUM
ap-1370	65	23	qk	qk	NOUN
ap-1370	65	24	)	)	PUNCT
ap-1370	65	25	g+qw0/2	g+qw0/2	X
ap-1370	65	26	·	·	PUNCT
ap-1370	65	27	exp	exp	NOUN
ap-1370	65	28	(	(	PUNCT
ap-1370	65	29	∞∑	∞∑	NUM
ap-1370	65	30	k=1	k=1	X
ap-1370	65	31	(	(	PUNCT
ap-1370	65	32	−1)ktkj−k	−1)ktkj−k	PROPN
ap-1370	65	33	)	)	PUNCT
ap-1370	65	34	q−w0/2g−1	q−w0/2g−1	PUNCT
ap-1370	66	1	+	+	CCONJ
ap-1370	66	2	as	as	ADV
ap-1370	66	3	well	well	ADV
ap-1370	66	4	.	.	PUNCT
ap-1370	67	1	this	this	PRON
ap-1370	67	2	leads	lead	VERB
ap-1370	67	3	to	to	ADP
ap-1370	67	4	another	another	DET
ap-1370	67	5	expression	expression	NOUN
ap-1370	67	6	of	of	ADP
ap-1370	67	7	z(q	z(q	PROPN
ap-1370	67	8	,	,	PUNCT
ap-1370	67	9	s	s	PROPN
ap-1370	67	10	,	,	PUNCT
ap-1370	67	11	t	t	PROPN
ap-1370	67	12	,	,	PUNCT
ap-1370	67	13	)	)	PUNCT
ap-1370	67	14	in	in	ADP
ap-1370	67	15	which	which	PRON
ap-1370	67	16	τ(s	τ(s	PROPN
ap-1370	67	17	,	,	PUNCT
ap-1370	67	18	t	t	PROPN
ap-1370	67	19	,	,	PUNCT
ap-1370	67	20	0	0	NUM
ap-1370	67	21	)	)	PUNCT
ap-1370	67	22	is	be	AUX
ap-1370	67	23	replaced	replace	VERB
ap-1370	67	24	with	with	ADP
ap-1370	67	25	τ(s,0,−t	τ(s,0,−t	NUM
ap-1370	67	26	)	)	PUNCT
ap-1370	67	27	.	.	PUNCT
ap-1370	68	1	the	the	DET
ap-1370	68	2	existence	existence	NOUN
ap-1370	68	3	of	of	ADP
ap-1370	68	4	different	different	ADJ
ap-1370	68	5	expressions	expression	NOUN
ap-1370	68	6	can	can	AUX
ap-1370	68	7	be	be	AUX
ap-1370	68	8	explained	explain	VERB
ap-1370	68	9	by	by	ADP
ap-1370	68	10	the	the	DET
ap-1370	68	11	intertwining	intertwine	VERB
ap-1370	68	12	relations	relation	NOUN
ap-1370	68	13	jkg	jkg	NOUN
ap-1370	68	14	=	=	SYM
ap-1370	68	15	gj−k	gj−k	NOUN
ap-1370	68	16	(	(	PUNCT
ap-1370	68	17	k	k	NOUN
ap-1370	68	18	=	=	SYM
ap-1370	68	19	1	1	NUM
ap-1370	68	20	,	,	PUNCT
ap-1370	68	21	2	2	NUM
ap-1370	68	22	,	,	PUNCT
ap-1370	68	23	.	.	PUNCT
ap-1370	68	24	.	.	PUNCT
ap-1370	69	1	.	.	PUNCT
ap-1370	69	2	)	)	PUNCT
ap-1370	70	1	,	,	PUNCT
ap-1370	70	2	(	(	PUNCT
ap-1370	70	3	15	15	NUM
ap-1370	70	4	)	)	PUNCT
ap-1370	70	5	which	which	PRON
ap-1370	70	6	,	,	PUNCT
ap-1370	70	7	too	too	ADV
ap-1370	70	8	,	,	PUNCT
ap-1370	70	9	are	be	AUX
ap-1370	70	10	a	a	DET
ap-1370	70	11	consequence	consequence	NOUN
ap-1370	70	12	of	of	ADP
ap-1370	70	13	the	the	DET
ap-1370	70	14	shift	shift	NOUN
ap-1370	70	15	symmetries	symmetry	NOUN
ap-1370	70	16	.	.	PUNCT
ap-1370	71	1	these	these	DET
ap-1370	71	2	intertwining	intertwine	VERB
ap-1370	71	3	relations	relation	NOUN
ap-1370	71	4	imply	imply	VERB
ap-1370	71	5	the	the	DET
ap-1370	71	6	constraints	constraint	NOUN
ap-1370	71	7	(	(	PUNCT
ap-1370	71	8	∂tk	∂tk	PROPN
ap-1370	71	9	+	+	CCONJ
ap-1370	71	10	∂t̄k	∂t̄k	PROPN
ap-1370	71	11	)	)	PUNCT
ap-1370	71	12	τ(s	τ(s	PROPN
ap-1370	71	13	,	,	PUNCT
ap-1370	71	14	t	t	PROPN
ap-1370	71	15	,	,	PUNCT
ap-1370	71	16	t̄	t̄	PROPN
ap-1370	71	17	)	)	PUNCT
ap-1370	72	1	=	=	SYM
ap-1370	72	2	0	0	PUNCT
ap-1370	73	1	(	(	PUNCT
ap-1370	73	2	k	k	NOUN
ap-1370	73	3	=	=	SYM
ap-1370	73	4	1	1	NUM
ap-1370	73	5	,	,	PUNCT
ap-1370	73	6	2	2	NUM
ap-1370	73	7	,	,	PUNCT
ap-1370	73	8	.	.	PUNCT
ap-1370	73	9	.	.	PUNCT
ap-1370	73	10	.	.	PUNCT
ap-1370	73	11	)	)	PUNCT
ap-1370	74	1	(	(	PUNCT
ap-1370	74	2	16	16	NUM
ap-1370	74	3	)	)	PUNCT
ap-1370	74	4	75	75	NUM
ap-1370	74	5	acta	acta	PROPN
ap-1370	74	6	polytechnica	polytechnica	PROPN
ap-1370	74	7	vol	vol	NOUN
ap-1370	74	8	.	.	PUNCT
ap-1370	75	1	51	51	NUM
ap-1370	75	2	no	no	NOUN
ap-1370	75	3	.	.	PUNCT
ap-1370	76	1	1/2011	1/2011	NUM
ap-1370	76	2	on	on	ADP
ap-1370	76	3	the	the	DET
ap-1370	76	4	tau	tau	PROPN
ap-1370	76	5	function	function	NOUN
ap-1370	76	6	.	.	PUNCT
ap-1370	77	1	the	the	DET
ap-1370	77	2	tau	tau	PROPN
ap-1370	77	3	function	function	PROPN
ap-1370	77	4	τ(s	τ(s	PROPN
ap-1370	77	5	,	,	PUNCT
ap-1370	77	6	t	t	PROPN
ap-1370	77	7	,	,	PUNCT
ap-1370	77	8	t̄	t̄	PROPN
ap-1370	77	9	)	)	PUNCT
ap-1370	77	10	thereby	thereby	ADV
ap-1370	77	11	becomes	become	VERB
ap-1370	77	12	a	a	DET
ap-1370	77	13	function	function	NOUN
ap-1370	77	14	τ(s	τ(s	NOUN
ap-1370	77	15	,	,	PUNCT
ap-1370	77	16	t	t	PROPN
ap-1370	77	17	−	−	PROPN
ap-1370	77	18	t̄	t̄	PROPN
ap-1370	77	19	)	)	PUNCT
ap-1370	77	20	of	of	ADP
ap-1370	77	21	the	the	DET
ap-1370	77	22	difference	difference	NOUN
ap-1370	77	23	t	t	PROPN
ap-1370	77	24	−	−	PROPN
ap-1370	77	25	t̄	t̄	PROPN
ap-1370	77	26	.	.	PUNCT
ap-1370	78	1	in	in	ADP
ap-1370	78	2	particular	particular	ADJ
ap-1370	78	3	,	,	PUNCT
ap-1370	78	4	τ(s	τ(s	PROPN
ap-1370	78	5	,	,	PUNCT
ap-1370	78	6	t	t	PROPN
ap-1370	78	7	,	,	PUNCT
ap-1370	78	8	0	0	NUM
ap-1370	78	9	)	)	PUNCT
ap-1370	78	10	and	and	CCONJ
ap-1370	78	11	τ(s,0,−t	τ(s,0,−t	NUM
ap-1370	78	12	)	)	PUNCT
ap-1370	78	13	coincide	coincide	NOUN
ap-1370	78	14	.	.	PUNCT
ap-1370	79	1	the	the	DET
ap-1370	79	2	reduced	reduce	VERB
ap-1370	79	3	function	function	NOUN
ap-1370	79	4	τ(t	τ(t	PROPN
ap-1370	79	5	,	,	PUNCT
ap-1370	79	6	s	s	X
ap-1370	79	7	)	)	PUNCT
ap-1370	79	8	may	may	AUX
ap-1370	79	9	be	be	AUX
ap-1370	79	10	thought	think	VERB
ap-1370	79	11	of	of	ADP
ap-1370	79	12	as	as	ADP
ap-1370	79	13	a	a	DET
ap-1370	79	14	tau	tau	NOUN
ap-1370	79	15	function	function	NOUN
ap-1370	79	16	of	of	ADP
ap-1370	79	17	the	the	DET
ap-1370	79	18	1d	1d	NUM
ap-1370	79	19	toda	toda	NOUN
ap-1370	79	20	hierarchy	hierarchy	NOUN
ap-1370	79	21	.	.	PUNCT
ap-1370	80	1	(	(	PUNCT
ap-1370	80	2	15	15	NUM
ap-1370	80	3	)	)	PUNCT
ap-1370	80	4	are	be	AUX
ap-1370	80	5	a	a	DET
ap-1370	80	6	special	special	ADJ
ap-1370	80	7	case	case	NOUN
ap-1370	80	8	of	of	ADP
ap-1370	80	9	the	the	DET
ap-1370	80	10	more	more	ADV
ap-1370	80	11	general	general	ADJ
ap-1370	80	12	intertwining	intertwine	VERB
ap-1370	80	13	relations	relation	NOUN
ap-1370	80	14	(	(	PUNCT
ap-1370	80	15	v	v	NOUN
ap-1370	80	16	(	(	PUNCT
ap-1370	80	17	k)m	k)m	NOUN
ap-1370	81	1	−	−	ADP
ap-1370	81	2	δm,0	δm,0	ADJ
ap-1370	81	3	qk	qk	ADP
ap-1370	81	4	1−	1−	NUM
ap-1370	81	5	qk	qk	NOUN
ap-1370	81	6	)	)	PUNCT
ap-1370	81	7	g	g	NOUN
ap-1370	81	8	=	=	SYM
ap-1370	81	9	q−kg(v	q−kg(v	X
ap-1370	81	10	(	(	PUNCT
ap-1370	81	11	−k	−k	NOUN
ap-1370	81	12	)	)	PUNCT
ap-1370	81	13	−2k−m	−2k−m	NOUN
ap-1370	81	14	−	−	ADP
ap-1370	81	15	δ2k+m,0	δ2k+m,0	ADV
ap-1370	81	16	q−k	q−k	PROPN
ap-1370	81	17	1−	1−	NUM
ap-1370	81	18	q−k	q−k	PROPN
ap-1370	81	19	)	)	PUNCT
ap-1370	81	20	.	.	PUNCT
ap-1370	82	1	(	(	PUNCT
ap-1370	82	2	17	17	NUM
ap-1370	82	3	)	)	PUNCT
ap-1370	82	4	we	we	PRON
ap-1370	82	5	can	can	AUX
ap-1370	82	6	translate	translate	VERB
ap-1370	82	7	these	these	DET
ap-1370	82	8	relations	relation	NOUN
ap-1370	82	9	to	to	ADP
ap-1370	82	10	the	the	DET
ap-1370	82	11	language	language	NOUN
ap-1370	82	12	of	of	ADP
ap-1370	82	13	the	the	DET
ap-1370	82	14	lax	lax	ADJ
ap-1370	82	15	formalism	formalism	NOUN
ap-1370	82	16	of	of	ADP
ap-1370	82	17	the	the	DET
ap-1370	82	18	toda	toda	PROPN
ap-1370	82	19	hierarchy	hierarchy	NOUN
ap-1370	82	20	.	.	PUNCT
ap-1370	83	1	a	a	DET
ap-1370	83	2	study	study	NOUN
ap-1370	83	3	on	on	ADP
ap-1370	83	4	this	this	DET
ap-1370	83	5	issue	issue	NOUN
ap-1370	83	6	is	be	AUX
ap-1370	83	7	now	now	ADV
ap-1370	83	8	in	in	ADP
ap-1370	83	9	progress	progress	NOUN
ap-1370	83	10	.	.	PUNCT
ap-1370	84	1	5	5	NUM
ap-1370	84	2	other	other	ADJ
ap-1370	84	3	models	model	NOUN
ap-1370	84	4	the	the	DET
ap-1370	84	5	following	follow	VERB
ap-1370	84	6	toda	toda	PROPN
ap-1370	84	7	tau	tau	PROPN
ap-1370	84	8	functions	function	NOUN
ap-1370	84	9	can	can	AUX
ap-1370	84	10	be	be	AUX
ap-1370	84	11	treated	treat	VERB
ap-1370	84	12	more	more	ADV
ap-1370	84	13	or	or	CCONJ
ap-1370	84	14	less	less	ADJ
ap-1370	84	15	in	in	ADP
ap-1370	84	16	the	the	DET
ap-1370	84	17	same	same	ADJ
ap-1370	84	18	way	way	NOUN
ap-1370	84	19	as	as	ADP
ap-1370	84	20	the	the	DET
ap-1370	84	21	foregoing	forego	VERB
ap-1370	84	22	tau	tau	PROPN
ap-1370	84	23	function	function	VERB
ap-1370	84	24	.	.	PUNCT
ap-1370	85	1	we	we	PRON
ap-1370	85	2	shall	shall	AUX
ap-1370	85	3	discuss	discuss	VERB
ap-1370	85	4	this	this	DET
ap-1370	85	5	issue	issue	NOUN
ap-1370	85	6	elsewhere	elsewhere	ADV
ap-1370	85	7	.	.	PUNCT
ap-1370	86	1	1	1	X
ap-1370	86	2	.	.	X
ap-1370	86	3	the	the	DET
ap-1370	86	4	generating	generate	VERB
ap-1370	86	5	function	function	NOUN
ap-1370	86	6	of	of	ADP
ap-1370	86	7	the	the	DET
ap-1370	86	8	two	two	NUM
ap-1370	86	9	-	-	PUNCT
ap-1370	86	10	leg	leg	NOUN
ap-1370	86	11	amplitudewλμ	amplitudewλμ	NOUN
ap-1370	86	12	in	in	ADP
ap-1370	86	13	the	the	DET
ap-1370	86	14	topological	topological	ADJ
ap-1370	86	15	vertex	vertex	NOUN
ap-1370	86	16	[	[	X
ap-1370	86	17	6	6	NUM
ap-1370	86	18	]	]	PUNCT
ap-1370	86	19	is	be	AUX
ap-1370	86	20	a	a	DET
ap-1370	86	21	toda	toda	PROPN
ap-1370	86	22	tau	tau	PROPN
ap-1370	86	23	function	function	NOUN
ap-1370	86	24	determined	determine	VERB
ap-1370	86	25	by	by	ADP
ap-1370	86	26	g	g	NOUN
ap-1370	86	27	=	=	SYM
ap-1370	86	28	qw0/2g+g−qw0/2	qw0/2g+g−qw0/2	PROPN
ap-1370	86	29	.	.	PUNCT
ap-1370	87	1	(	(	PUNCT
ap-1370	87	2	18	18	NUM
ap-1370	87	3	)	)	PUNCT
ap-1370	87	4	2	2	NUM
ap-1370	87	5	.	.	PUNCT
ap-1370	88	1	the	the	DET
ap-1370	88	2	generating	generate	VERB
ap-1370	88	3	function	function	NOUN
ap-1370	88	4	of	of	ADP
ap-1370	88	5	double	double	ADJ
ap-1370	88	6	hurwitz	hurwitz	NOUN
ap-1370	88	7	numbers	number	NOUN
ap-1370	88	8	of	of	ADP
ap-1370	88	9	the	the	DET
ap-1370	88	10	riemann	riemann	PROPN
ap-1370	88	11	sphere	sphere	NOUN
ap-1370	88	12	[	[	X
ap-1370	88	13	7	7	X
ap-1370	88	14	]	]	PUNCT
ap-1370	88	15	is	be	AUX
ap-1370	88	16	a	a	DET
ap-1370	88	17	toda	toda	PROPN
ap-1370	88	18	tau	tau	PROPN
ap-1370	88	19	function	function	NOUN
ap-1370	88	20	determined	determine	VERB
ap-1370	88	21	by	by	ADP
ap-1370	88	22	g	g	PROPN
ap-1370	88	23	=	=	SYM
ap-1370	88	24	e−βw0ql0	e−βw0ql0	PROPN
ap-1370	88	25	.	.	PUNCT
ap-1370	89	1	(	(	PUNCT
ap-1370	89	2	19	19	NUM
ap-1370	89	3	)	)	PUNCT
ap-1370	89	4	the	the	DET
ap-1370	89	5	parameter	parameter	NOUN
ap-1370	89	6	q	q	PROPN
ap-1370	89	7	is	be	AUX
ap-1370	89	8	interpreted	interpret	VERB
ap-1370	89	9	as	as	ADP
ap-1370	89	10	q	q	NOUN
ap-1370	89	11	=	=	SYM
ap-1370	89	12	e−β	e−β	PROPN
ap-1370	89	13	.	.	PUNCT
ap-1370	89	14	acknowledgement	acknowledgement	NOUN
ap-1370	89	15	this	this	DET
ap-1370	89	16	work	work	NOUN
ap-1370	89	17	has	have	AUX
ap-1370	89	18	been	be	AUX
ap-1370	89	19	partly	partly	ADV
ap-1370	89	20	supported	support	VERB
ap-1370	89	21	by	by	ADP
ap-1370	89	22	the	the	DET
ap-1370	89	23	jsps	jsps	PROPN
ap-1370	89	24	grants	grants	PROPN
ap-1370	89	25	-	-	PUNCT
ap-1370	89	26	in	in	ADP
ap-1370	89	27	-	-	PUNCT
ap-1370	89	28	aid	aid	NOUN
ap-1370	89	29	for	for	ADP
ap-1370	89	30	scientific	scientific	ADJ
ap-1370	89	31	research	research	NOUN
ap-1370	89	32	no	no	NOUN
ap-1370	89	33	.	.	PROPN
ap-1370	89	34	19104002	19104002	NUM
ap-1370	89	35	,	,	PUNCT
ap-1370	89	36	no	no	INTJ
ap-1370	89	37	.	.	NOUN
ap-1370	89	38	21540218	21540218	NUM
ap-1370	89	39	and	and	CCONJ
ap-1370	89	40	no	no	NOUN
ap-1370	89	41	.	.	NOUN
ap-1370	89	42	22540186	22540186	NUM
ap-1370	89	43	from	from	ADP
ap-1370	89	44	the	the	DET
ap-1370	89	45	japan	japan	PROPN
ap-1370	89	46	society	society	PROPN
ap-1370	89	47	for	for	ADP
ap-1370	89	48	the	the	DET
ap-1370	89	49	promotion	promotion	NOUN
ap-1370	89	50	of	of	ADP
ap-1370	89	51	science	science	NOUN
ap-1370	89	52	.	.	PUNCT
ap-1370	90	1	references	reference	NOUN
ap-1370	90	2	[	[	X
ap-1370	90	3	1	1	NUM
ap-1370	90	4	]	]	PUNCT
ap-1370	90	5	nakatsu	nakatsu	NOUN
ap-1370	90	6	,	,	PUNCT
ap-1370	90	7	t.	t.	NOUN
ap-1370	90	8	,	,	PUNCT
ap-1370	90	9	takasaki	takasaki	ADJ
ap-1370	90	10	,	,	PUNCT
ap-1370	90	11	k.	k.	NOUN
ap-1370	90	12	:	:	PUNCT
ap-1370	90	13	melting	melt	VERB
ap-1370	90	14	crystal	crystal	NOUN
ap-1370	90	15	,	,	PUNCT
ap-1370	90	16	quantum	quantum	ADJ
ap-1370	90	17	torus	torus	NOUN
ap-1370	90	18	and	and	CCONJ
ap-1370	90	19	toda	toda	PROPN
ap-1370	90	20	hierarchy	hierarchy	NOUN
ap-1370	90	21	,	,	PUNCT
ap-1370	90	22	comm	comm	NOUN
ap-1370	90	23	.	.	PUNCT
ap-1370	90	24	math	math	NOUN
ap-1370	90	25	.	.	PUNCT
ap-1370	91	1	phys	phy	NOUN
ap-1370	91	2	.	.	PUNCT
ap-1370	92	1	285	285	NUM
ap-1370	92	2	(	(	PUNCT
ap-1370	92	3	2009	2009	NUM
ap-1370	92	4	)	)	PUNCT
ap-1370	92	5	,	,	PUNCT
ap-1370	92	6	445–468	445–468	NUM
ap-1370	92	7	.	.	PUNCT
ap-1370	93	1	[	[	X
ap-1370	93	2	2	2	NUM
ap-1370	93	3	]	]	PUNCT
ap-1370	93	4	nakatsu	nakatsu	NOUN
ap-1370	93	5	,	,	PUNCT
ap-1370	93	6	t.	t.	NOUN
ap-1370	93	7	,	,	PUNCT
ap-1370	93	8	takasaki	takasaki	ADJ
ap-1370	93	9	,	,	PUNCT
ap-1370	93	10	k.	k.	PROPN
ap-1370	93	11	:	:	PUNCT
ap-1370	93	12	integrable	integrable	ADJ
ap-1370	93	13	structure	structure	NOUN
ap-1370	93	14	of	of	ADP
ap-1370	93	15	melting	melt	VERB
ap-1370	93	16	crystal	crystal	NOUN
ap-1370	93	17	model	model	NOUN
ap-1370	93	18	with	with	ADP
ap-1370	93	19	external	external	ADJ
ap-1370	93	20	potential	potential	ADJ
ap-1370	93	21	,	,	PUNCT
ap-1370	93	22	advanced	advanced	ADJ
ap-1370	93	23	studies	study	NOUN
ap-1370	93	24	in	in	ADP
ap-1370	93	25	pure	pure	ADJ
ap-1370	93	26	.	.	PUNCT
ap-1370	94	1	math	math	NOUN
ap-1370	94	2	.	.	PUNCT
ap-1370	95	1	vol	vol	NOUN
ap-1370	95	2	.	.	PROPN
ap-1370	96	1	59	59	NUM
ap-1370	96	2	(	(	PUNCT
ap-1370	96	3	math	math	NOUN
ap-1370	96	4	.	.	PUNCT
ap-1370	96	5	soc	soc	PROPN
ap-1370	96	6	.	.	PUNCT
ap-1370	97	1	japan	japan	PROPN
ap-1370	97	2	,	,	PUNCT
ap-1370	97	3	2010	2010	NUM
ap-1370	97	4	)	)	PUNCT
ap-1370	97	5	,	,	PUNCT
ap-1370	97	6	pp	pp	ADJ
ap-1370	97	7	.	.	PUNCT
ap-1370	98	1	201–223	201–223	NUM
ap-1370	98	2	.	.	PUNCT
ap-1370	99	1	[	[	X
ap-1370	99	2	3	3	NUM
ap-1370	99	3	]	]	X
ap-1370	99	4	okounkov	okounkov	NOUN
ap-1370	99	5	,	,	PUNCT
ap-1370	99	6	a.	a.	PROPN
ap-1370	99	7	,	,	PUNCT
ap-1370	99	8	reshetikhin	reshetikhin	PROPN
ap-1370	99	9	,	,	PUNCT
ap-1370	99	10	n.	n.	NOUN
ap-1370	99	11	,	,	PUNCT
ap-1370	99	12	vafa	vafa	PROPN
ap-1370	99	13	,	,	PUNCT
ap-1370	99	14	c.	c.	NOUN
ap-1370	99	15	:	:	PUNCT
ap-1370	99	16	quantum	quantum	ADJ
ap-1370	99	17	calabi	calabi	NOUN
ap-1370	99	18	-	-	PUNCT
ap-1370	99	19	yau	yau	NOUN
ap-1370	99	20	and	and	CCONJ
ap-1370	99	21	classical	classical	ADJ
ap-1370	99	22	crystals	crystal	NOUN
ap-1370	99	23	,	,	PUNCT
ap-1370	99	24	in	in	ADP
ap-1370	99	25	:	:	PUNCT
ap-1370	99	26	p.	p.	NOUN
ap-1370	99	27	etingof	etingof	PROPN
ap-1370	99	28	,	,	PUNCT
ap-1370	99	29	v.	v.	ADP
ap-1370	99	30	retakh	retakh	PROPN
ap-1370	99	31	,	,	PUNCT
ap-1370	99	32	i.	i.	PROPN
ap-1370	99	33	m.	m.	NOUN
ap-1370	99	34	singer	singer	NOUN
ap-1370	99	35	(	(	PUNCT
ap-1370	99	36	eds	ed	NOUN
ap-1370	99	37	.	.	PUNCT
ap-1370	99	38	)	)	PUNCT
ap-1370	99	39	,	,	PUNCT
ap-1370	99	40	the	the	DET
ap-1370	99	41	unity	unity	NOUN
ap-1370	99	42	of	of	ADP
ap-1370	99	43	mathematics	mathematic	NOUN
ap-1370	99	44	,	,	PUNCT
ap-1370	99	45	progr	progr	NOUN
ap-1370	99	46	.	.	PUNCT
ap-1370	100	1	math	math	NOUN
ap-1370	100	2	.	.	PUNCT
ap-1370	101	1	244	244	NUM
ap-1370	101	2	,	,	PUNCT
ap-1370	101	3	birkhäuser	birkhäuser	NOUN
ap-1370	101	4	,	,	PUNCT
ap-1370	101	5	2006	2006	NUM
ap-1370	101	6	,	,	PUNCT
ap-1370	101	7	pp	pp	ADV
ap-1370	101	8	.	.	PUNCT
ap-1370	102	1	597–618	597–618	NUM
ap-1370	102	2	.	.	PUNCT
ap-1370	103	1	[	[	X
ap-1370	103	2	4	4	NUM
ap-1370	103	3	]	]	X
ap-1370	103	4	maeda	maeda	PROPN
ap-1370	103	5	,	,	PUNCT
ap-1370	103	6	t.	t.	NOUN
ap-1370	103	7	,	,	PUNCT
ap-1370	103	8	nakatsu	nakatsu	NOUN
ap-1370	103	9	,	,	PUNCT
ap-1370	103	10	t.	t.	NOUN
ap-1370	103	11	,	,	PUNCT
ap-1370	103	12	takasaki	takasaki	ADJ
ap-1370	103	13	,	,	PUNCT
ap-1370	103	14	k.	k.	PROPN
ap-1370	103	15	,	,	PUNCT
ap-1370	103	16	tamakoshi	tamakoshi	ADV
ap-1370	103	17	,	,	PUNCT
ap-1370	103	18	t.	t.	PROPN
ap-1370	103	19	:	:	PUNCT
ap-1370	103	20	five	five	NUM
ap-1370	103	21	-	-	PUNCT
ap-1370	103	22	dimensional	dimensional	ADJ
ap-1370	103	23	supersymmetric	supersymmetric	ADJ
ap-1370	103	24	yangmills	yangmill	NOUN
ap-1370	103	25	theories	theory	NOUN
ap-1370	103	26	and	and	CCONJ
ap-1370	103	27	random	random	ADJ
ap-1370	103	28	plane	plane	NOUN
ap-1370	103	29	partitions	partition	NOUN
ap-1370	103	30	,	,	PUNCT
ap-1370	103	31	jhep	jhep	ADJ
ap-1370	103	32	0503	0503	NUM
ap-1370	103	33	(	(	PUNCT
ap-1370	103	34	2005	2005	NUM
ap-1370	103	35	)	)	PUNCT
ap-1370	103	36	,	,	PUNCT
ap-1370	103	37	056	056	NUM
ap-1370	103	38	.	.	PUNCT
ap-1370	104	1	[	[	X
ap-1370	104	2	5	5	NUM
ap-1370	104	3	]	]	SYM
ap-1370	104	4	takasaki	takasaki	ADJ
ap-1370	104	5	,	,	PUNCT
ap-1370	104	6	k.	k.	PROPN
ap-1370	104	7	,	,	PUNCT
ap-1370	104	8	takebe	takebe	NOUN
ap-1370	104	9	,	,	PUNCT
ap-1370	104	10	t.	t.	PROPN
ap-1370	104	11	:	:	PUNCT
ap-1370	104	12	integrable	integrable	ADJ
ap-1370	104	13	hierarchies	hierarchy	NOUN
ap-1370	104	14	and	and	CCONJ
ap-1370	104	15	dispersionless	dispersionless	NOUN
ap-1370	104	16	limit	limit	NOUN
ap-1370	104	17	,	,	PUNCT
ap-1370	104	18	rev	rev	PROPN
ap-1370	104	19	.	.	PROPN
ap-1370	104	20	math	math	NOUN
ap-1370	104	21	.	.	PUNCT
ap-1370	105	1	phys	phy	NOUN
ap-1370	105	2	.	.	PUNCT
ap-1370	106	1	7	7	NUM
ap-1370	106	2	(	(	PUNCT
ap-1370	106	3	1995	1995	NUM
ap-1370	106	4	)	)	PUNCT
ap-1370	106	5	,	,	PUNCT
ap-1370	106	6	743–808	743–808	NUM
ap-1370	106	7	.	.	PUNCT
ap-1370	107	1	[	[	X
ap-1370	107	2	6	6	NUM
ap-1370	107	3	]	]	X
ap-1370	107	4	zhou	zhou	PROPN
ap-1370	107	5	,	,	PUNCT
ap-1370	107	6	j.	j.	PROPN
ap-1370	107	7	:	:	PUNCT
ap-1370	107	8	hodge	hodge	PROPN
ap-1370	107	9	integrals	integral	NOUN
ap-1370	107	10	and	and	CCONJ
ap-1370	107	11	integrable	integrable	ADJ
ap-1370	107	12	hierarchies	hierarchy	NOUN
ap-1370	107	13	,	,	PUNCT
ap-1370	107	14	arxiv	arxiv	NOUN
ap-1370	107	15	:	:	PUNCT
ap-1370	107	16	math.ag/0310408	math.ag/0310408	X
ap-1370	107	17	.	.	PUNCT
ap-1370	108	1	[	[	X
ap-1370	108	2	7	7	NUM
ap-1370	108	3	]	]	X
ap-1370	108	4	okounkov	okounkov	NOUN
ap-1370	108	5	,	,	PUNCT
ap-1370	108	6	a.	a.	NOUN
ap-1370	108	7	:	:	PUNCT
ap-1370	108	8	toda	toda	PROPN
ap-1370	108	9	equations	equation	NOUN
ap-1370	108	10	for	for	ADP
ap-1370	108	11	hurwitz	hurwitz	PROPN
ap-1370	108	12	numbers	number	NOUN
ap-1370	108	13	,	,	PUNCT
ap-1370	108	14	math	math	NOUN
ap-1370	108	15	.	.	PUNCT
ap-1370	109	1	res	re	NOUN
ap-1370	109	2	.	.	PUNCT
ap-1370	110	1	lett	lett	PROPN
ap-1370	110	2	.	.	PROPN
ap-1370	111	1	7	7	NUM
ap-1370	111	2	(	(	PUNCT
ap-1370	111	3	2000	2000	NUM
ap-1370	111	4	)	)	PUNCT
ap-1370	111	5	,	,	PUNCT
ap-1370	111	6	447–453	447–453	NUM
ap-1370	111	7	.	.	PUNCT
ap-1370	112	1	[	[	X
ap-1370	112	2	8	8	NUM
ap-1370	112	3	]	]	SYM
ap-1370	112	4	kazarian	kazarian	ADJ
ap-1370	112	5	,	,	PUNCT
ap-1370	112	6	m.	m.	NOUN
ap-1370	112	7	:	:	PUNCT
ap-1370	112	8	kp	kp	PROPN
ap-1370	112	9	hierarchy	hierarchy	VERB
ap-1370	112	10	for	for	ADP
ap-1370	112	11	hodge	hodge	PROPN
ap-1370	112	12	integrals	integral	NOUN
ap-1370	112	13	,	,	PUNCT
ap-1370	112	14	adv	adv	PROPN
ap-1370	112	15	.	.	PUNCT
ap-1370	112	16	math	math	PROPN
ap-1370	112	17	.	.	PUNCT
ap-1370	113	1	221	221	NUM
ap-1370	113	2	(	(	PUNCT
ap-1370	113	3	2009	2009	NUM
ap-1370	113	4	)	)	PUNCT
ap-1370	113	5	,	,	PUNCT
ap-1370	113	6	1–21	1–21	PROPN
ap-1370	113	7	.	.	PUNCT
ap-1370	114	1	kanehisa	kanehisa	VERB
ap-1370	114	2	takasaki	takasaki	ADJ
ap-1370	114	3	e	e	NOUN
ap-1370	114	4	-	-	NOUN
ap-1370	114	5	mail	mail	NOUN
ap-1370	114	6	:	:	PUNCT
ap-1370	114	7	takasaki@math.h.kyoto-u.ac.jp	takasaki@math.h.kyoto-u.ac.jp	NOUN
ap-1370	114	8	graduate	graduate	NOUN
ap-1370	114	9	school	school	NOUN
ap-1370	114	10	of	of	ADP
ap-1370	114	11	human	human	ADJ
ap-1370	114	12	and	and	CCONJ
ap-1370	114	13	environmental	environmental	ADJ
ap-1370	114	14	studies	studies	PROPN
ap-1370	114	15	kyoto	kyoto	PROPN
ap-1370	114	16	university	university	PROPN
ap-1370	114	17	yoshida	yoshida	PROPN
ap-1370	114	18	,	,	PUNCT
ap-1370	114	19	sakyo	sakyo	PROPN
ap-1370	114	20	,	,	PUNCT
ap-1370	114	21	kyoto	kyoto	PROPN
ap-1370	114	22	,	,	PUNCT
ap-1370	114	23	606	606	NUM
ap-1370	114	24	-	-	SYM
ap-1370	114	25	8501	8501	NUM
ap-1370	114	26	,	,	PUNCT
ap-1370	114	27	japan	japan	PROPN
ap-1370	114	28	76	76	NUM