id	sid	tid	token	lemma	pos
2v23vt17r3q	1	1	we	we	PRON
2v23vt17r3q	1	2	develop	develop	VERB
2v23vt17r3q	1	3	a	a	DET
2v23vt17r3q	1	4	number	number	NOUN
2v23vt17r3q	1	5	of	of	ADP
2v23vt17r3q	1	6	tools	tool	NOUN
2v23vt17r3q	1	7	to	to	PART
2v23vt17r3q	1	8	analyze	analyze	VERB
2v23vt17r3q	1	9	the	the	DET
2v23vt17r3q	1	10	geometry	geometry	NOUN
2v23vt17r3q	1	11	and	and	CCONJ
2v23vt17r3q	1	12	topology	topology	NOUN
2v23vt17r3q	1	13	of	of	ADP
2v23vt17r3q	1	14	leaf	leaf	NOUN
2v23vt17r3q	1	15	spaces	space	NOUN
2v23vt17r3q	1	16	quotients	quotient	NOUN
2v23vt17r3q	1	17	of	of	ADP
2v23vt17r3q	1	18	singular	singular	ADJ
2v23vt17r3q	1	19	riemannian	riemannian	ADJ
2v23vt17r3q	1	20	foliations	foliation	NOUN
2v23vt17r3q	1	21	with	with	ADP
2v23vt17r3q	1	22	closed	closed	ADJ
2v23vt17r3q	1	23	leaves	leave	NOUN
2v23vt17r3q	1	24	.	.	PUNCT
2v23vt17r3q	2	1	this	this	PRON
2v23vt17r3q	2	2	expands	expand	VERB
2v23vt17r3q	2	3	upon	upon	SCONJ
2v23vt17r3q	2	4	and	and	CCONJ
2v23vt17r3q	2	5	gives	give	VERB
2v23vt17r3q	2	6	a	a	DET
2v23vt17r3q	2	7	purely	purely	ADV
2v23vt17r3q	2	8	geometric	geometric	ADJ
2v23vt17r3q	2	9	footing	footing	NOUN
2v23vt17r3q	2	10	to	to	ADP
2v23vt17r3q	2	11	similar	similar	ADJ
2v23vt17r3q	2	12	tools	tool	NOUN
2v23vt17r3q	2	13	used	use	VERB
2v23vt17r3q	2	14	to	to	PART
2v23vt17r3q	2	15	study	study	VERB
2v23vt17r3q	2	16	orbit	orbit	NOUN
2v23vt17r3q	2	17	spaces	space	NOUN
2v23vt17r3q	2	18	of	of	ADP
2v23vt17r3q	2	19	isometric	isometric	ADJ
2v23vt17r3q	2	20	group	group	NOUN
2v23vt17r3q	2	21	actions	action	NOUN
2v23vt17r3q	2	22	.	.	PUNCT
2v23vt17r3q	3	1	when	when	SCONJ
2v23vt17r3q	3	2	applied	apply	VERB
2v23vt17r3q	3	3	to	to	ADP
2v23vt17r3q	3	4	a	a	DET
2v23vt17r3q	3	5	given	give	VERB
2v23vt17r3q	3	6	leaf	leaf	NOUN
2v23vt17r3q	3	7	space	space	NOUN
2v23vt17r3q	3	8	,	,	PUNCT
2v23vt17r3q	3	9	these	these	DET
2v23vt17r3q	3	10	tools	tool	NOUN
2v23vt17r3q	3	11	not	not	PART
2v23vt17r3q	3	12	only	only	ADV
2v23vt17r3q	3	13	help	help	VERB
2v23vt17r3q	3	14	describe	describe	VERB
2v23vt17r3q	3	15	the	the	DET
2v23vt17r3q	3	16	geometry	geometry	NOUN
2v23vt17r3q	3	17	/	/	SYM
2v23vt17r3q	3	18	topology	topology	NOUN
2v23vt17r3q	3	19	of	of	ADP
2v23vt17r3q	3	20	the	the	DET
2v23vt17r3q	3	21	quotient	quotient	NOUN
2v23vt17r3q	3	22	,	,	PUNCT
2v23vt17r3q	3	23	but	but	CCONJ
2v23vt17r3q	3	24	can	can	AUX
2v23vt17r3q	3	25	also	also	ADV
2v23vt17r3q	3	26	reveal	reveal	VERB
2v23vt17r3q	3	27	information	information	NOUN
2v23vt17r3q	3	28	about	about	ADP
2v23vt17r3q	3	29	the	the	DET
2v23vt17r3q	3	30	leaves	leave	NOUN
2v23vt17r3q	3	31	of	of	ADP
2v23vt17r3q	3	32	the	the	DET
2v23vt17r3q	3	33	singular	singular	ADJ
2v23vt17r3q	3	34	riemannian	riemannian	ADJ
2v23vt17r3q	3	35	foliation	foliation	NOUN
2v23vt17r3q	3	36	and	and	CCONJ
2v23vt17r3q	3	37	the	the	DET
2v23vt17r3q	3	38	manifolds	manifold	NOUN
2v23vt17r3q	3	39	which	which	PRON
2v23vt17r3q	3	40	admit	admit	VERB
2v23vt17r3q	3	41	such	such	ADJ
2v23vt17r3q	3	42	foliations	foliation	NOUN
2v23vt17r3q	3	43	.	.	PUNCT
2v23vt17r3q	4	1	the	the	DET
2v23vt17r3q	4	2	majority	majority	NOUN
2v23vt17r3q	4	3	of	of	ADP
2v23vt17r3q	4	4	the	the	DET
2v23vt17r3q	4	5	work	work	NOUN
2v23vt17r3q	4	6	is	be	AUX
2v23vt17r3q	4	7	done	do	VERB
2v23vt17r3q	4	8	for	for	ADP
2v23vt17r3q	4	9	leaf	leaf	NOUN
2v23vt17r3q	4	10	spaces	space	NOUN
2v23vt17r3q	4	11	with	with	ADP
2v23vt17r3q	4	12	positive	positive	ADJ
2v23vt17r3q	4	13	curvature	curvature	NOUN
2v23vt17r3q	4	14	(	(	PUNCT
2v23vt17r3q	4	15	in	in	ADP
2v23vt17r3q	4	16	the	the	DET
2v23vt17r3q	4	17	comparison	comparison	NOUN
2v23vt17r3q	4	18	sense	sense	NOUN
2v23vt17r3q	4	19	)	)	PUNCT
2v23vt17r3q	4	20	,	,	PUNCT
2v23vt17r3q	4	21	as	as	SCONJ
2v23vt17r3q	4	22	the	the	DET
2v23vt17r3q	4	23	original	original	ADJ
2v23vt17r3q	4	24	motivation	motivation	NOUN
2v23vt17r3q	4	25	was	be	AUX
2v23vt17r3q	4	26	to	to	PART
2v23vt17r3q	4	27	systematically	systematically	ADV
2v23vt17r3q	4	28	study	study	VERB
2v23vt17r3q	4	29	singular	singular	ADJ
2v23vt17r3q	4	30	riemannian	riemannian	ADJ
2v23vt17r3q	4	31	foliations	foliation	NOUN
2v23vt17r3q	4	32	as	as	SCONJ
2v23vt17r3q	4	33	was	be	AUX
2v23vt17r3q	4	34	done	do	VERB
2v23vt17r3q	4	35	for	for	ADP
2v23vt17r3q	4	36	positively	positively	ADV
2v23vt17r3q	4	37	curved	curve	VERB
2v23vt17r3q	4	38	manifolds	manifold	NOUN
2v23vt17r3q	4	39	with	with	ADP
2v23vt17r3q	4	40	symmetry	symmetry	NOUN
2v23vt17r3q	4	41	.	.	PUNCT