id	sid	tid	token	lemma	pos
d791sf29f6p	1	1	we	we	PRON
d791sf29f6p	1	2	construct	construct	VERB
d791sf29f6p	1	3	a	a	DET
d791sf29f6p	1	4	geometric	geometric	ADJ
d791sf29f6p	1	5	analogue	analogue	NOUN
d791sf29f6p	1	6	to	to	ADP
d791sf29f6p	1	7	the	the	DET
d791sf29f6p	1	8	sphere	sphere	NOUN
d791sf29f6p	1	9	with	with	ADP
d791sf29f6p	1	10	tubes	tube	NOUN
d791sf29f6p	1	11	model	model	NOUN
d791sf29f6p	1	12	where	where	SCONJ
d791sf29f6p	1	13	there	there	PRON
d791sf29f6p	1	14	is	be	VERB
d791sf29f6p	1	15	one	one	NUM
d791sf29f6p	1	16	incoming	incoming	NOUN
d791sf29f6p	1	17	and	and	CCONJ
d791sf29f6p	1	18	one	one	NUM
d791sf29f6p	1	19	outgoing	outgoing	ADJ
d791sf29f6p	1	20	tube	tube	NOUN
d791sf29f6p	1	21	in	in	ADP
d791sf29f6p	1	22	yi	yi	PROPN
d791sf29f6p	1	23	-	-	PUNCT
d791sf29f6p	1	24	zhi	zhi	PROPN
d791sf29f6p	1	25	huang	huang	PROPN
d791sf29f6p	1	26	's	's	PART
d791sf29f6p	1	27	notion	notion	NOUN
d791sf29f6p	1	28	of	of	ADP
d791sf29f6p	1	29	a	a	DET
d791sf29f6p	1	30	geometric	geometric	ADJ
d791sf29f6p	1	31	vertex	vertex	NOUN
d791sf29f6p	1	32	operator	operator	NOUN
d791sf29f6p	1	33	algebra	algebra	NOUN
d791sf29f6p	1	34	(	(	PUNCT
d791sf29f6p	1	35	gvoa	gvoa	PROPN
d791sf29f6p	1	36	)	)	PUNCT
d791sf29f6p	1	37	in	in	ADP
d791sf29f6p	1	38	a	a	DET
d791sf29f6p	1	39	generalized	generalized	ADJ
d791sf29f6p	1	40	setting	setting	NOUN
d791sf29f6p	1	41	that	that	PRON
d791sf29f6p	1	42	resolves	resolve	VERB
d791sf29f6p	1	43	the	the	DET
d791sf29f6p	1	44	multivaluedness	multivaluedness	NOUN
d791sf29f6p	1	45	resulting	result	VERB
d791sf29f6p	1	46	from	from	ADP
d791sf29f6p	1	47	a	a	DET
d791sf29f6p	1	48	generalization	generalization	NOUN
d791sf29f6p	1	49	of	of	ADP
d791sf29f6p	1	50	the	the	DET
d791sf29f6p	1	51	grading	grading	ADJ
d791sf29f6p	1	52	axiom	axiom	NOUN
d791sf29f6p	1	53	in	in	ADP
d791sf29f6p	1	54	a	a	DET
d791sf29f6p	1	55	gvoa	gvoa	NOUN
d791sf29f6p	1	56	such	such	ADJ
d791sf29f6p	1	57	that	that	SCONJ
d791sf29f6p	1	58	it	it	PRON
d791sf29f6p	1	59	is	be	AUX
d791sf29f6p	1	60	no	no	ADV
d791sf29f6p	1	61	longer	long	ADV
d791sf29f6p	1	62	semisimple	semisimple	ADJ
d791sf29f6p	1	63	;	;	PUNCT
d791sf29f6p	1	64	we	we	PRON
d791sf29f6p	1	65	call	call	VERB
d791sf29f6p	1	66	the	the	DET
d791sf29f6p	1	67	objects	object	NOUN
d791sf29f6p	1	68	in	in	ADP
d791sf29f6p	1	69	our	our	PRON
d791sf29f6p	1	70	geometric	geometric	ADJ
d791sf29f6p	1	71	structure	structure	NOUN
d791sf29f6p	1	72	the	the	DET
d791sf29f6p	1	73	unfurled	unfurled	ADJ
d791sf29f6p	1	74	worldsheets	worldsheet	NOUN
d791sf29f6p	1	75	.	.	PUNCT
d791sf29f6p	2	1	we	we	PRON
d791sf29f6p	2	2	establish	establish	VERB
d791sf29f6p	2	3	a	a	DET
d791sf29f6p	2	4	partial	partial	ADJ
d791sf29f6p	2	5	semi	semi	ADJ
d791sf29f6p	2	6	-	-	ADJ
d791sf29f6p	2	7	group	group	ADJ
d791sf29f6p	2	8	structure	structure	NOUN
d791sf29f6p	2	9	on	on	ADP
d791sf29f6p	2	10	the	the	DET
d791sf29f6p	2	11	unfurled	unfurled	ADJ
d791sf29f6p	2	12	worldsheets	worldsheet	NOUN
d791sf29f6p	2	13	,	,	PUNCT
d791sf29f6p	2	14	and	and	CCONJ
d791sf29f6p	2	15	show	show	VERB
d791sf29f6p	2	16	that	that	SCONJ
d791sf29f6p	2	17	a	a	DET
d791sf29f6p	2	18	certain	certain	ADJ
d791sf29f6p	2	19	associated	associated	ADJ
d791sf29f6p	2	20	tangent	tangent	NOUN
d791sf29f6p	2	21	space	space	NOUN
d791sf29f6p	2	22	forms	form	VERB
d791sf29f6p	2	23	an	an	DET
d791sf29f6p	2	24	algebra	algebra	NOUN
d791sf29f6p	2	25	that	that	PRON
d791sf29f6p	2	26	is	be	AUX
d791sf29f6p	2	27	not	not	PART
d791sf29f6p	2	28	leibniz	leibniz	NOUN
d791sf29f6p	2	29	.	.	PUNCT
d791sf29f6p	3	1	then	then	ADV
d791sf29f6p	3	2	,	,	PUNCT
d791sf29f6p	3	3	we	we	PRON
d791sf29f6p	3	4	introduce	introduce	VERB
d791sf29f6p	3	5	a	a	DET
d791sf29f6p	3	6	new	new	ADJ
d791sf29f6p	3	7	piece	piece	NOUN
d791sf29f6p	3	8	of	of	ADP
d791sf29f6p	3	9	data	datum	NOUN
d791sf29f6p	3	10	to	to	ADP
d791sf29f6p	3	11	our	our	PRON
d791sf29f6p	3	12	notion	notion	NOUN
d791sf29f6p	3	13	of	of	ADP
d791sf29f6p	3	14	unfurled	unfurled	ADJ
d791sf29f6p	3	15	worldsheet	worldsheet	NOUN
d791sf29f6p	3	16	,	,	PUNCT
d791sf29f6p	3	17	which	which	PRON
d791sf29f6p	3	18	results	result	VERB
d791sf29f6p	3	19	in	in	ADP
d791sf29f6p	3	20	a	a	DET
d791sf29f6p	3	21	new	new	ADJ
d791sf29f6p	3	22	collection	collection	NOUN
d791sf29f6p	3	23	of	of	ADP
d791sf29f6p	3	24	objects	object	NOUN
d791sf29f6p	3	25	,	,	PUNCT
d791sf29f6p	3	26	called	call	VERB
d791sf29f6p	3	27	the	the	DET
d791sf29f6p	3	28	unfurled	unfurled	ADJ
d791sf29f6p	3	29	worldsheets	worldsheet	NOUN
d791sf29f6p	3	30	with	with	ADP
d791sf29f6p	3	31	dilation	dilation	NOUN
d791sf29f6p	3	32	.	.	PUNCT
d791sf29f6p	4	1	we	we	PRON
d791sf29f6p	4	2	find	find	VERB
d791sf29f6p	4	3	that	that	SCONJ
d791sf29f6p	4	4	the	the	DET
d791sf29f6p	4	5	unfurled	unfurled	ADJ
d791sf29f6p	4	6	worldsheets	worldsheet	NOUN
d791sf29f6p	4	7	with	with	ADP
d791sf29f6p	4	8	dilation	dilation	NOUN
d791sf29f6p	4	9	are	be	AUX
d791sf29f6p	4	10	not	not	PART
d791sf29f6p	4	11	closed	close	VERB
d791sf29f6p	4	12	under	under	ADP
d791sf29f6p	4	13	our	our	PRON
d791sf29f6p	4	14	analogue	analogue	NOUN
d791sf29f6p	4	15	of	of	ADP
d791sf29f6p	4	16	sewing	sewing	NOUN
d791sf29f6p	4	17	.	.	PUNCT
d791sf29f6p	5	1	however	however	ADV
d791sf29f6p	5	2	,	,	PUNCT
d791sf29f6p	5	3	we	we	PRON
d791sf29f6p	5	4	can	can	AUX
d791sf29f6p	5	5	close	close	VERB
d791sf29f6p	5	6	the	the	DET
d791sf29f6p	5	7	sewing	sewing	NOUN
d791sf29f6p	5	8	by	by	ADP
d791sf29f6p	5	9	creating	create	VERB
d791sf29f6p	5	10	an	an	DET
d791sf29f6p	5	11	extension	extension	NOUN
d791sf29f6p	5	12	of	of	ADP
d791sf29f6p	5	13	the	the	DET
d791sf29f6p	5	14	virasoro	virasoro	ADJ
d791sf29f6p	5	15	algebra	algebra	NOUN
d791sf29f6p	5	16	.	.	PUNCT
d791sf29f6p	6	1	this	this	DET
d791sf29f6p	6	2	extension	extension	NOUN
d791sf29f6p	6	3	scaffolds	scaffold	VERB
d791sf29f6p	6	4	our	our	PRON
d791sf29f6p	6	5	formal	formal	ADJ
d791sf29f6p	6	6	identification	identification	NOUN
d791sf29f6p	6	7	of	of	ADP
d791sf29f6p	6	8	the	the	DET
d791sf29f6p	6	9	moduli	modulus	NOUN
d791sf29f6p	6	10	space	space	NOUN
d791sf29f6p	6	11	of	of	ADP
d791sf29f6p	6	12	the	the	DET
d791sf29f6p	6	13	unfurled	unfurled	ADJ
d791sf29f6p	6	14	worldsheets	worldsheet	NOUN
d791sf29f6p	6	15	with	with	ADP
d791sf29f6p	6	16	dilation	dilation	NOUN
d791sf29f6p	6	17	.	.	PUNCT