id	sid	tid	token	lemma	pos
ft848p61w3t	1	1	in	in	ADP
ft848p61w3t	1	2	this	this	DET
ft848p61w3t	1	3	thesis	thesis	NOUN
ft848p61w3t	1	4	,	,	PUNCT
ft848p61w3t	1	5	we	we	PRON
ft848p61w3t	1	6	relate	relate	VERB
ft848p61w3t	1	7	geometric	geometric	ADJ
ft848p61w3t	1	8	field	field	NOUN
ft848p61w3t	1	9	theories	theory	NOUN
ft848p61w3t	1	10	with	with	ADP
ft848p61w3t	1	11	classical	classical	ADJ
ft848p61w3t	1	12	,	,	PUNCT
ft848p61w3t	1	13	homotopical	homotopical	ADJ
ft848p61w3t	1	14	invariants	invariant	NOUN
ft848p61w3t	1	15	of	of	ADP
ft848p61w3t	1	16	algebraic	algebraic	ADJ
ft848p61w3t	1	17	objects	object	NOUN
ft848p61w3t	1	18	.	.	PUNCT
ft848p61w3t	2	1	we	we	PRON
ft848p61w3t	2	2	begin	begin	VERB
ft848p61w3t	2	3	by	by	ADP
ft848p61w3t	2	4	defining	define	VERB
ft848p61w3t	2	5	an	an	DET
ft848p61w3t	2	6	abstract	abstract	ADJ
ft848p61w3t	2	7	setting	setting	NOUN
ft848p61w3t	2	8	in	in	ADP
ft848p61w3t	2	9	which	which	PRON
ft848p61w3t	2	10	to	to	PART
ft848p61w3t	2	11	model	model	VERB
ft848p61w3t	2	12	the	the	DET
ft848p61w3t	2	13	local	local	ADJ
ft848p61w3t	2	14	observables	observable	NOUN
ft848p61w3t	2	15	of	of	ADP
ft848p61w3t	2	16	field	field	NOUN
ft848p61w3t	2	17	theories	theory	NOUN
ft848p61w3t	2	18	depending	depend	VERB
ft848p61w3t	2	19	on	on	ADP
ft848p61w3t	2	20	a	a	DET
ft848p61w3t	2	21	riemannian	riemannian	ADJ
ft848p61w3t	2	22	structure	structure	NOUN
ft848p61w3t	2	23	.	.	PUNCT
ft848p61w3t	3	1	we	we	PRON
ft848p61w3t	3	2	then	then	ADV
ft848p61w3t	3	3	introduce	introduce	VERB
ft848p61w3t	3	4	a	a	DET
ft848p61w3t	3	5	family	family	NOUN
ft848p61w3t	3	6	of	of	ADP
ft848p61w3t	3	7	examples	example	NOUN
ft848p61w3t	3	8	whose	whose	DET
ft848p61w3t	3	9	input	input	NOUN
ft848p61w3t	3	10	is	be	AUX
ft848p61w3t	3	11	implicit	implicit	ADJ
ft848p61w3t	3	12	in	in	ADP
ft848p61w3t	3	13	quantum	quantum	ADJ
ft848p61w3t	3	14	mechanical	mechanical	ADJ
ft848p61w3t	3	15	systems	system	NOUN
ft848p61w3t	3	16	.	.	PUNCT
ft848p61w3t	4	1	following	follow	VERB
ft848p61w3t	4	2	standard	standard	ADJ
ft848p61w3t	4	3	higher	high	ADJ
ft848p61w3t	4	4	categorical	categorical	ADJ
ft848p61w3t	4	5	procedures	procedure	NOUN
ft848p61w3t	4	6	,	,	PUNCT
ft848p61w3t	4	7	we	we	PRON
ft848p61w3t	4	8	produce	produce	VERB
ft848p61w3t	4	9	an	an	DET
ft848p61w3t	4	10	extension	extension	NOUN
ft848p61w3t	4	11	of	of	ADP
ft848p61w3t	4	12	these	these	DET
ft848p61w3t	4	13	local	local	ADJ
ft848p61w3t	4	14	constructions	construction	NOUN
ft848p61w3t	4	15	to	to	ADP
ft848p61w3t	4	16	general	general	ADJ
ft848p61w3t	4	17	riemannian	riemannian	ADJ
ft848p61w3t	4	18	manifolds.using	manifolds.use	VERB
ft848p61w3t	4	19	abstract	abstract	ADJ
ft848p61w3t	4	20	homotopy	homotopy	NOUN
ft848p61w3t	4	21	theory	theory	NOUN
ft848p61w3t	4	22	,	,	PUNCT
ft848p61w3t	4	23	factorization	factorization	NOUN
ft848p61w3t	4	24	algebras	algebra	NOUN
ft848p61w3t	4	25	,	,	PUNCT
ft848p61w3t	4	26	and	and	CCONJ
ft848p61w3t	4	27	factorization	factorization	NOUN
ft848p61w3t	4	28	homology	homology	NOUN
ft848p61w3t	4	29	,	,	PUNCT
ft848p61w3t	4	30	we	we	PRON
ft848p61w3t	4	31	relate	relate	VERB
ft848p61w3t	4	32	the	the	DET
ft848p61w3t	4	33	observables	observable	NOUN
ft848p61w3t	4	34	of	of	ADP
ft848p61w3t	4	35	a	a	DET
ft848p61w3t	4	36	field	field	NOUN
ft848p61w3t	4	37	theory	theory	NOUN
ft848p61w3t	4	38	on	on	ADP
ft848p61w3t	4	39	a	a	DET
ft848p61w3t	4	40	circle	circle	NOUN
ft848p61w3t	4	41	(	(	PUNCT
ft848p61w3t	4	42	of	of	ADP
ft848p61w3t	4	43	fixed	fix	VERB
ft848p61w3t	4	44	size	size	NOUN
ft848p61w3t	4	45	)	)	PUNCT
ft848p61w3t	4	46	to	to	PART
ft848p61w3t	4	47	hochschild	hochschild	VERB
ft848p61w3t	4	48	homology	homology	NOUN
ft848p61w3t	4	49	with	with	ADP
ft848p61w3t	4	50	coefficients	coefficient	NOUN
ft848p61w3t	4	51	in	in	ADP
ft848p61w3t	4	52	a	a	DET
ft848p61w3t	4	53	module	module	NOUN
ft848p61w3t	4	54	.	.	PUNCT
ft848p61w3t	5	1	the	the	DET
ft848p61w3t	5	2	action	action	NOUN
ft848p61w3t	5	3	maps	map	NOUN
ft848p61w3t	5	4	of	of	ADP
ft848p61w3t	5	5	this	this	DET
ft848p61w3t	5	6	module	module	NOUN
ft848p61w3t	5	7	depend	depend	VERB
ft848p61w3t	5	8	explicitly	explicitly	ADV
ft848p61w3t	5	9	on	on	ADP
ft848p61w3t	5	10	the	the	DET
ft848p61w3t	5	11	geometry	geometry	NOUN
ft848p61w3t	5	12	on	on	ADP
ft848p61w3t	5	13	which	which	PRON
ft848p61w3t	5	14	the	the	DET
ft848p61w3t	5	15	field	field	NOUN
ft848p61w3t	5	16	theory	theory	NOUN
ft848p61w3t	5	17	habitates	habitate	NOUN
ft848p61w3t	5	18	.	.	PUNCT
ft848p61w3t	6	1	we	we	PRON
ft848p61w3t	6	2	end	end	VERB
ft848p61w3t	6	3	with	with	ADP
ft848p61w3t	6	4	a	a	DET
ft848p61w3t	6	5	general	general	ADJ
ft848p61w3t	6	6	discussion	discussion	NOUN
ft848p61w3t	6	7	of	of	ADP
ft848p61w3t	6	8	how	how	SCONJ
ft848p61w3t	6	9	these	these	DET
ft848p61w3t	6	10	techniques	technique	NOUN
ft848p61w3t	6	11	may	may	AUX
ft848p61w3t	6	12	be	be	AUX
ft848p61w3t	6	13	used	use	VERB
ft848p61w3t	6	14	in	in	ADP
ft848p61w3t	6	15	more	more	ADJ
ft848p61w3t	6	16	general	general	ADJ
ft848p61w3t	6	17	contexts	context	NOUN
ft848p61w3t	6	18	.	.	PUNCT