id	sid	tid	token	lemma	pos
tm70ms3885s	1	1	the	the	DET
tm70ms3885s	1	2	notion	notion	NOUN
tm70ms3885s	1	3	of	of	ADP
tm70ms3885s	1	4	vertex	vertex	NOUN
tm70ms3885s	1	5	operator	operator	NOUN
tm70ms3885s	1	6	coalgebra	coalgebra	NOUN
tm70ms3885s	1	7	is	be	AUX
tm70ms3885s	1	8	presented	present	VERB
tm70ms3885s	1	9	,	,	PUNCT
tm70ms3885s	1	10	which	which	PRON
tm70ms3885s	1	11	corresponds	correspond	VERB
tm70ms3885s	1	12	to	to	ADP
tm70ms3885s	1	13	the	the	DET
tm70ms3885s	1	14	family	family	NOUN
tm70ms3885s	1	15	of	of	ADP
tm70ms3885s	1	16	correlation	correlation	NOUN
tm70ms3885s	1	17	functions	function	NOUN
tm70ms3885s	1	18	modeling	model	VERB
tm70ms3885s	1	19	one	one	NUM
tm70ms3885s	1	20	string	string	NOUN
tm70ms3885s	1	21	propagating	propagate	VERB
tm70ms3885s	1	22	in	in	ADP
tm70ms3885s	1	23	space	space	NOUN
tm70ms3885s	1	24	-	-	PUNCT
tm70ms3885s	1	25	time	time	NOUN
tm70ms3885s	1	26	splitting	splitting	NOUN
tm70ms3885s	1	27	into	into	ADP
tm70ms3885s	1	28	n	n	NOUN
tm70ms3885s	1	29	strings	string	NOUN
tm70ms3885s	1	30	in	in	ADP
tm70ms3885s	1	31	conformal	conformal	ADJ
tm70ms3885s	1	32	field	field	NOUN
tm70ms3885s	1	33	theory	theory	NOUN
tm70ms3885s	1	34	.	.	PUNCT
tm70ms3885s	2	1	specifically	specifically	ADV
tm70ms3885s	2	2	,	,	PUNCT
tm70ms3885s	2	3	we	we	PRON
tm70ms3885s	2	4	describe	describe	VERB
tm70ms3885s	2	5	the	the	DET
tm70ms3885s	2	6	category	category	NOUN
tm70ms3885s	2	7	of	of	ADP
tm70ms3885s	2	8	geometric	geometric	ADJ
tm70ms3885s	2	9	vertex	vertex	NOUN
tm70ms3885s	2	10	operator	operator	NOUN
tm70ms3885s	2	11	coalgebras	coalgebra	NOUN
tm70ms3885s	2	12	,	,	PUNCT
tm70ms3885s	2	13	whose	whose	DET
tm70ms3885s	2	14	objects	object	NOUN
tm70ms3885s	2	15	have	have	AUX
tm70ms3885s	2	16	comultiplicative	comultiplicative	ADJ
tm70ms3885s	2	17	structures	structure	NOUN
tm70ms3885s	2	18	meromorphically	meromorphically	ADV
tm70ms3885s	2	19	induced	induce	VERB
tm70ms3885s	2	20	by	by	ADP
tm70ms3885s	2	21	conformal	conformal	ADJ
tm70ms3885s	2	22	equivalence	equivalence	NOUN
tm70ms3885s	2	23	classes	class	NOUN
tm70ms3885s	2	24	of	of	ADP
tm70ms3885s	2	25	the	the	DET
tm70ms3885s	2	26	worldsheets	worldsheet	NOUN
tm70ms3885s	2	27	swept	sweep	VERB
tm70ms3885s	2	28	out	out	ADP
tm70ms3885s	2	29	by	by	ADP
tm70ms3885s	2	30	propagating	propagate	VERB
tm70ms3885s	2	31	strings	string	NOUN
tm70ms3885s	2	32	.	.	PUNCT
tm70ms3885s	3	1	we	we	PRON
tm70ms3885s	3	2	then	then	ADV
tm70ms3885s	3	3	show	show	VERB
tm70ms3885s	3	4	that	that	SCONJ
tm70ms3885s	3	5	this	this	DET
tm70ms3885s	3	6	category	category	NOUN
tm70ms3885s	3	7	is	be	AUX
tm70ms3885s	3	8	isomorphic	isomorphic	ADJ
tm70ms3885s	3	9	to	to	ADP
tm70ms3885s	3	10	the	the	DET
tm70ms3885s	3	11	category	category	NOUN
tm70ms3885s	3	12	of	of	ADP
tm70ms3885s	3	13	vertex	vertex	NOUN
tm70ms3885s	3	14	operator	operator	NOUN
tm70ms3885s	3	15	coalgebras	coalgebra	NOUN
tm70ms3885s	3	16	,	,	PUNCT
tm70ms3885s	3	17	which	which	PRON
tm70ms3885s	3	18	is	be	AUX
tm70ms3885s	3	19	defined	define	VERB
tm70ms3885s	3	20	in	in	ADP
tm70ms3885s	3	21	the	the	DET
tm70ms3885s	3	22	language	language	NOUN
tm70ms3885s	3	23	of	of	ADP
tm70ms3885s	3	24	formal	formal	ADJ
tm70ms3885s	3	25	algebra	algebra	NOUN
tm70ms3885s	3	26	with	with	ADP
tm70ms3885s	3	27	a	a	DET
tm70ms3885s	3	28	generalized	generalized	ADJ
tm70ms3885s	3	29	jacobi	jacobi	NOUN
tm70ms3885s	3	30	-	-	PUNCT
tm70ms3885s	3	31	like	like	ADJ
tm70ms3885s	3	32	identity	identity	NOUN
tm70ms3885s	3	33	.	.	PUNCT
tm70ms3885s	4	1	this	this	DET
tm70ms3885s	4	2	notion	notion	NOUN
tm70ms3885s	4	3	is	be	AUX
tm70ms3885s	4	4	in	in	ADP
tm70ms3885s	4	5	some	some	DET
tm70ms3885s	4	6	sense	sense	NOUN
tm70ms3885s	4	7	dual	dual	ADJ
tm70ms3885s	4	8	to	to	ADP
tm70ms3885s	4	9	the	the	DET
tm70ms3885s	4	10	notion	notion	NOUN
tm70ms3885s	4	11	of	of	ADP
tm70ms3885s	4	12	vertex	vertex	NOUN
tm70ms3885s	4	13	operator	operator	NOUN
tm70ms3885s	4	14	algebra	algebra	NOUN
tm70ms3885s	4	15	.	.	PUNCT
tm70ms3885s	5	1	we	we	PRON
tm70ms3885s	5	2	also	also	ADV
tm70ms3885s	5	3	prove	prove	VERB
tm70ms3885s	5	4	that	that	SCONJ
tm70ms3885s	5	5	any	any	DET
tm70ms3885s	5	6	vertex	vertex	NOUN
tm70ms3885s	5	7	operator	operator	NOUN
tm70ms3885s	5	8	algebra	algebra	NOUN
tm70ms3885s	5	9	equipped	equip	VERB
tm70ms3885s	5	10	with	with	ADP
tm70ms3885s	5	11	a	a	DET
tm70ms3885s	5	12	non	non	ADJ
tm70ms3885s	5	13	-	-	ADJ
tm70ms3885s	5	14	degenerate	degenerate	ADJ
tm70ms3885s	5	15	,	,	PUNCT
tm70ms3885s	5	16	virasoro	virasoro	ADJ
tm70ms3885s	5	17	preserving	preserving	NOUN
tm70ms3885s	5	18	,	,	PUNCT
tm70ms3885s	5	19	bilinear	bilinear	ADJ
tm70ms3885s	5	20	form	form	NOUN
tm70ms3885s	5	21	gives	give	VERB
tm70ms3885s	5	22	rise	rise	NOUN
tm70ms3885s	5	23	to	to	ADP
tm70ms3885s	5	24	a	a	DET
tm70ms3885s	5	25	corresponding	corresponding	ADJ
tm70ms3885s	5	26	vertex	vertex	NOUN
tm70ms3885s	5	27	operator	operator	NOUN
tm70ms3885s	5	28	coalgebra	coalgebra	NOUN
tm70ms3885s	5	29	.	.	PUNCT
tm70ms3885s	6	1	finally	finally	ADV
tm70ms3885s	6	2	,	,	PUNCT
tm70ms3885s	6	3	we	we	PRON
tm70ms3885s	6	4	explicitly	explicitly	ADV
tm70ms3885s	6	5	calculate	calculate	VERB
tm70ms3885s	6	6	the	the	DET
tm70ms3885s	6	7	vertex	vertex	NOUN
tm70ms3885s	6	8	operator	operator	NOUN
tm70ms3885s	6	9	coalgebra	coalgebra	NOUN
tm70ms3885s	6	10	structure	structure	NOUN
tm70ms3885s	6	11	and	and	CCONJ
tm70ms3885s	6	12	unique	unique	ADJ
tm70ms3885s	6	13	bilinear	bilinear	ADJ
tm70ms3885s	6	14	form	form	NOUN
tm70ms3885s	6	15	for	for	ADP
tm70ms3885s	6	16	the	the	DET
tm70ms3885s	6	17	heisenberg	heisenberg	PROPN
tm70ms3885s	6	18	algebra	algebra	PROPN
tm70ms3885s	6	19	case	case	NOUN
tm70ms3885s	6	20	,	,	PUNCT
tm70ms3885s	6	21	which	which	PRON
tm70ms3885s	6	22	corresponds	correspond	VERB
tm70ms3885s	6	23	to	to	ADP
tm70ms3885s	6	24	considering	consider	VERB
tm70ms3885s	6	25	free	free	ADJ
tm70ms3885s	6	26	bosons	boson	NOUN
tm70ms3885s	6	27	in	in	ADP
tm70ms3885s	6	28	conformal	conformal	ADJ
tm70ms3885s	6	29	field	field	NOUN
tm70ms3885s	6	30	theory	theory	NOUN
tm70ms3885s	6	31	.	.	PUNCT