Algebraic & Geometric Topology Volume 11, issue 2 (2011)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the journal

Ethics and policies

Peer-review process

Submission guidelines

Submission form

Editorial board

Subscriptions

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Author index

To appear

Other MSP journals

Homotopy algebra structures on twisted tensor products and string topology operations

Micah Miller

Algebraic & Geometric Topology 11 (2011) 1163–1203

DOI: 10.2140/agt.2011.11.1163

Bibliography

1	L Abrams, Two-dimensional topological quantum field theories and Frobenius algebras, J. Knot Theory Ramifications 5 (1996) 569 MR1414088
2	E H Brown Jr., Twisted tensor products. I, Ann. of Math. (2) 69 (1959) 223 MR0105687
3	M Chas, D Sullivan, String topology, to appear in Ann. of Math. (2) arXiv:math.GT/9911159
4	K t Chen, Iterated integrals of differential forms and loop space homology, Ann. of Math. (2) 97 (1973) 217 MR0380859
5	X Chen, F Eshmatov, W Gan, Quantization of the Lie bialgebra of string topology, Comm. Math. Phys. 301 (2011) 877
6	X Z Cheng, E Getzler, Transferring homotopy commutative algebraic structures, J. Pure Appl. Algebra 212 (2008) 2535 MR2440265
7	J Chuang, A Lazarev, L_∞ maps and twistings arXiv:0912.1215
8	C T J Dodson, P E Parker, A user’s guide to algebraic topology, 387, Kluwer (1997) MR1430097
9	W L Gan, Koszul duality for dioperads, Math. Res. Lett. 10 (2003) 109 MR1960128
10	V K A M Gugenheim, L A Lambe, J D Stasheff, Algebraic aspects of Chen’s twisting cochain, Illinois J. Math. 34 (1990) 485 MR1046572
11	R M Hain, Twisting cochains and duality between minimal algebras and minimal Lie algebras, Trans. Amer. Math. Soc. 277 (1983) 397 MR690059
12	R M Hain, Iterated integrals and homotopy periods, Mem. Amer. Math. Soc. 47 (1984) MR727818
13	R A Hepworth, String topology for Lie groups, J. Topol. 3 (2010) 424 MR2651366
14	J Huebschmann, On the construction of A_∞–structures, Georgian Math. J. 17 (2010) 161 MR2640649
15	T V Kadeishvili, On the theory of homology of fiber spaces, Uspekhi Mat. Nauk 35 (1980) 183 MR580645
16	S Kobayashi, K Nomizu, Foundations of differential geometry. Vol I, Interscience, Wiley (1963) MR0152974
17	T Lada, M Markl, Strongly homotopy Lie algebras, Comm. Algebra 23 (1995) 2147 MR1327129
18	A Menichi, A Batalin-Vilkovisky, Algebra morphism from double loop spaces to free loops, to appear in Trans. Amer. Math. Soc. arXiv:0908.1883
19	S A Merkulov, Strong homotopy algebras of a Kähler manifold, Internat. Math. Res. Notices (1999) 153 MR1672242
20	J W Milnor, J D Stasheff, Characteristic classes, 76, Princeton Univ. Press (1974) MR0440554
21	D Quillen, Rational homotopy theory, Ann. of Math. (2) 90 (1969) 205 MR0258031
22	B Vallette, A Koszul duality for PROPs, Trans. Amer. Math. Soc. 359 (2007) 4865 MR2320654