id	sid	tid	token	lemma	pos
zs25x636101	1	1	in	in	ADP
zs25x636101	1	2	this	this	DET
zs25x636101	1	3	thesis	thesis	NOUN
zs25x636101	1	4	we	we	PRON
zs25x636101	1	5	study	study	VERB
zs25x636101	1	6	the	the	DET
zs25x636101	1	7	geometry	geometry	NOUN
zs25x636101	1	8	of	of	ADP
zs25x636101	1	9	the	the	DET
zs25x636101	1	10	group	group	NOUN
zs25x636101	1	11	of	of	ADP
zs25x636101	1	12	symplectic	symplectic	ADJ
zs25x636101	1	13	diffeomorphisms	diffeomorphism	NOUN
zs25x636101	1	14	of	of	ADP
zs25x636101	1	15	a	a	DET
zs25x636101	1	16	closed	closed	ADJ
zs25x636101	1	17	symplectic	symplectic	ADJ
zs25x636101	1	18	manifold	manifold	ADJ
zs25x636101	1	19	m	m	PROPN
zs25x636101	1	20	,	,	PUNCT
zs25x636101	1	21	equipped	equip	VERB
zs25x636101	1	22	with	with	ADP
zs25x636101	1	23	the	the	DET
zs25x636101	1	24	l^2	l^2	NOUN
zs25x636101	1	25	weak	weak	ADJ
zs25x636101	1	26	riemannian	riemannian	ADJ
zs25x636101	1	27	metric	metric	NOUN
zs25x636101	1	28	.	.	PUNCT
zs25x636101	2	1	it	it	PRON
zs25x636101	2	2	is	be	AUX
zs25x636101	2	3	known	know	VERB
zs25x636101	2	4	that	that	SCONJ
zs25x636101	2	5	the	the	DET
zs25x636101	2	6	group	group	NOUN
zs25x636101	2	7	of	of	ADP
zs25x636101	2	8	symplectic	symplectic	PROPN
zs25x636101	2	9	diffeomorphisms	diffeomorphism	NOUN
zs25x636101	2	10	is	be	AUX
zs25x636101	2	11	geodesically	geodesically	ADV
zs25x636101	2	12	complete	complete	ADJ
zs25x636101	2	13	with	with	ADP
zs25x636101	2	14	respect	respect	NOUN
zs25x636101	2	15	to	to	ADP
zs25x636101	2	16	this	this	DET
zs25x636101	2	17	l^2	l^2	NOUN
zs25x636101	2	18	metric	metric	ADJ
zs25x636101	2	19	and	and	CCONJ
zs25x636101	2	20	admits	admit	VERB
zs25x636101	2	21	an	an	DET
zs25x636101	2	22	exponential	exponential	ADJ
zs25x636101	2	23	mapping	mapping	NOUN
zs25x636101	2	24	which	which	PRON
zs25x636101	2	25	is	be	AUX
zs25x636101	2	26	defined	define	VERB
zs25x636101	2	27	on	on	ADP
zs25x636101	2	28	the	the	DET
zs25x636101	2	29	whole	whole	ADJ
zs25x636101	2	30	tangent	tangent	ADJ
zs25x636101	2	31	space	space	NOUN
zs25x636101	2	32	.	.	PUNCT
zs25x636101	3	1	our	our	PRON
zs25x636101	3	2	primary	primary	ADJ
zs25x636101	3	3	objective	objective	NOUN
zs25x636101	3	4	is	be	AUX
zs25x636101	3	5	to	to	PART
zs25x636101	3	6	describe	describe	VERB
zs25x636101	3	7	the	the	DET
zs25x636101	3	8	structure	structure	NOUN
zs25x636101	3	9	of	of	ADP
zs25x636101	3	10	the	the	DET
zs25x636101	3	11	set	set	NOUN
zs25x636101	3	12	of	of	ADP
zs25x636101	3	13	singularities	singularity	NOUN
zs25x636101	3	14	of	of	ADP
zs25x636101	3	15	associated	associated	ADJ
zs25x636101	3	16	weak	weak	ADJ
zs25x636101	3	17	riemannian	riemannian	ADJ
zs25x636101	3	18	exponential	exponential	ADJ
zs25x636101	3	19	mapping	mapping	NOUN
zs25x636101	3	20	,	,	PUNCT
zs25x636101	3	21	which	which	PRON
zs25x636101	3	22	are	be	AUX
zs25x636101	3	23	known	know	VERB
zs25x636101	3	24	as	as	ADP
zs25x636101	3	25	conjugate	conjugate	NOUN
zs25x636101	3	26	points	point	NOUN
zs25x636101	3	27	.	.	PUNCT
zs25x636101	4	1	we	we	PRON
zs25x636101	4	2	construct	construct	VERB
zs25x636101	4	3	examples	example	NOUN
zs25x636101	4	4	of	of	ADP
zs25x636101	4	5	conjugate	conjugate	NOUN
zs25x636101	4	6	points	point	NOUN
zs25x636101	4	7	on	on	ADP
zs25x636101	4	8	the	the	DET
zs25x636101	4	9	symplectomorphism	symplectomorphism	NOUN
zs25x636101	4	10	group	group	NOUN
zs25x636101	4	11	and	and	CCONJ
zs25x636101	4	12	solve	solve	VERB
zs25x636101	4	13	the	the	DET
zs25x636101	4	14	jacobi	jacobi	NOUN
zs25x636101	4	15	equation	equation	NOUN
zs25x636101	4	16	explicitly	explicitly	ADV
zs25x636101	4	17	along	along	ADP
zs25x636101	4	18	geodesics	geodesic	NOUN
zs25x636101	4	19	consisting	consist	VERB
zs25x636101	4	20	of	of	ADP
zs25x636101	4	21	isometries	isometry	NOUN
zs25x636101	4	22	of	of	ADP
zs25x636101	4	23	m.	m.	NOUN
zs25x636101	4	24	using	use	VERB
zs25x636101	4	25	the	the	DET
zs25x636101	4	26	functional	functional	ADJ
zs25x636101	4	27	calculus	calculus	NOUN
zs25x636101	4	28	and	and	CCONJ
zs25x636101	4	29	spectral	spectral	ADJ
zs25x636101	4	30	theory	theory	NOUN
zs25x636101	4	31	,	,	PUNCT
zs25x636101	4	32	we	we	PRON
zs25x636101	4	33	show	show	VERB
zs25x636101	4	34	that	that	SCONJ
zs25x636101	4	35	every	every	DET
zs25x636101	4	36	such	such	ADJ
zs25x636101	4	37	geodesic	geodesic	NOUN
zs25x636101	4	38	contains	contain	VERB
zs25x636101	4	39	conjugate	conjugate	NOUN
zs25x636101	4	40	points	point	NOUN
zs25x636101	4	41	,	,	PUNCT
zs25x636101	4	42	all	all	PRON
zs25x636101	4	43	of	of	ADP
zs25x636101	4	44	which	which	PRON
zs25x636101	4	45	have	have	VERB
zs25x636101	4	46	even	even	ADV
zs25x636101	4	47	multiplicity	multiplicity	NOUN
zs25x636101	4	48	.	.	PUNCT
zs25x636101	5	1	a	a	DET
zs25x636101	5	2	macroscopic	macroscopic	ADJ
zs25x636101	5	3	view	view	NOUN
zs25x636101	5	4	of	of	ADP
zs25x636101	5	5	conjugate	conjugate	NOUN
zs25x636101	5	6	points	point	NOUN
zs25x636101	5	7	is	be	AUX
zs25x636101	5	8	then	then	ADV
zs25x636101	5	9	given	give	VERB
zs25x636101	5	10	by	by	ADP
zs25x636101	5	11	showing	show	VERB
zs25x636101	5	12	that	that	SCONJ
zs25x636101	5	13	the	the	DET
zs25x636101	5	14	exponential	exponential	ADJ
zs25x636101	5	15	mapping	mapping	NOUN
zs25x636101	5	16	of	of	ADP
zs25x636101	5	17	the	the	DET
zs25x636101	5	18	l^2	l^2	NOUN
zs25x636101	5	19	metric	metric	NOUN
zs25x636101	5	20	is	be	AUX
zs25x636101	5	21	a	a	DET
zs25x636101	5	22	non	non	ADJ
zs25x636101	5	23	-	-	ADJ
zs25x636101	5	24	linear	linear	ADJ
zs25x636101	5	25	fredholm	fredholm	PROPN
zs25x636101	5	26	map	map	NOUN
zs25x636101	5	27	of	of	ADP
zs25x636101	5	28	index	index	NOUN
zs25x636101	5	29	zero	zero	NUM
zs25x636101	5	30	,	,	PUNCT
zs25x636101	5	31	from	from	ADP
zs25x636101	5	32	which	which	PRON
zs25x636101	5	33	we	we	PRON
zs25x636101	5	34	deduce	deduce	VERB
zs25x636101	5	35	that	that	DET
zs25x636101	5	36	conjugate	conjugate	NOUN
zs25x636101	5	37	points	point	NOUN
zs25x636101	5	38	constitute	constitute	VERB
zs25x636101	5	39	a	a	DET
zs25x636101	5	40	set	set	NOUN
zs25x636101	5	41	of	of	ADP
zs25x636101	5	42	first	first	ADJ
zs25x636101	5	43	baire	baire	NOUN
zs25x636101	5	44	category	category	NOUN
zs25x636101	5	45	in	in	ADP
zs25x636101	5	46	the	the	DET
zs25x636101	5	47	symplectic	symplectic	ADJ
zs25x636101	5	48	diffeomorphism	diffeomorphism	NOUN
zs25x636101	5	49	group	group	NOUN
zs25x636101	5	50	.	.	PUNCT
zs25x636101	6	1	finally	finally	ADV
zs25x636101	6	2	,	,	PUNCT
zs25x636101	6	3	using	use	VERB
zs25x636101	6	4	the	the	DET
zs25x636101	6	5	fredholm	fredholm	ADJ
zs25x636101	6	6	properties	property	NOUN
zs25x636101	6	7	of	of	ADP
zs25x636101	6	8	the	the	DET
zs25x636101	6	9	exponential	exponential	ADJ
zs25x636101	6	10	mapping	mapping	NOUN
zs25x636101	6	11	,	,	PUNCT
zs25x636101	6	12	we	we	PRON
zs25x636101	6	13	give	give	VERB
zs25x636101	6	14	a	a	DET
zs25x636101	6	15	new	new	ADJ
zs25x636101	6	16	characterization	characterization	NOUN
zs25x636101	6	17	of	of	ADP
zs25x636101	6	18	conjugate	conjugate	NOUN
zs25x636101	6	19	points	point	NOUN
zs25x636101	6	20	along	along	ADP
zs25x636101	6	21	stationary	stationary	ADJ
zs25x636101	6	22	geodesics	geodesic	NOUN
zs25x636101	6	23	in	in	ADP
zs25x636101	6	24	terms	term	NOUN
zs25x636101	6	25	of	of	ADP
zs25x636101	6	26	the	the	DET
zs25x636101	6	27	linearized	linearized	ADJ
zs25x636101	6	28	geodesic	geodesic	ADJ
zs25x636101	6	29	equation	equation	NOUN
zs25x636101	6	30	and	and	CCONJ
zs25x636101	6	31	coadjoint	coadjoint	NOUN
zs25x636101	6	32	orbits	orbit	NOUN
zs25x636101	6	33	.	.	PUNCT