Algebraic & Geometric Topology Volume 13, issue 4 (2013)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Editorial Interests

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Other MSP Journals

On the spectral sequence of the Swiss-cheese operad

Eduardo Hoefel and Muriel Livernet

Algebraic & Geometric Topology 13 (2013) 2039–2060

DOI: 10.2140/agt.2013.13.2039

Bibliography

1	J Alm, Two-colored noncommutative Gerstenhaber formality and infinity Duflo isomorphism arXiv:1104.2194
2	V Dolgushev, Formality theorem for Hochschild cochains via transfer, Lett. Math. Phys. 97 (2011) 109 MR2821234
3	M Flato, M Gerstenhaber, A A Voronov, Cohomology and deformation of Leibniz pairs, Lett. Math. Phys. 34 (1995) 77 MR1334037
4	B Fresse, Koszul duality of operads and homology of partition posets, from: "Homotopy theory: Relations with algebraic geometry, group cohomology, and algebraic $K$–theory" (editors P Goerss, S Priddy), Contemp. Math. 346, Amer. Math. Soc. (2004) 115 MR2066499
5	I Gálvez-Carrillo, A Tonks, B Vallette, Homotopy Batalin–Vilkovisky algebras, J. Noncommut. Geom. 6 (2012) 539 MR2956319
6	E Getzler, J D S Jones, Operads, homotopy algebra and iterated integrals for double loop spaces arXiv:hep-th/9403055
7	V Ginzburg, M Kapranov, Koszul duality for operads, Duke Math. J. 76 (1994) 203 MR1301191
8	E Hoefel, OCHA and the swiss-cheese operad, J. Homotopy Relat. Struct. 4 (2009) 123 arXiv:0710.3546v5 MR2520990
9	E Hoefel, M Livernet, Open-closed homotopy algebras and strong homotopy Leibniz pairs through Koszul operad theory, Lett. Math. Phys. 101 (2012) 195 MR2947961
10	H Kajiura, J Stasheff, Homotopy algebras inspired by classical open-closed string field theory, Comm. Math. Phys. 263 (2006) 553 MR2211816
11	H Kajiura, J Stasheff, Open-closed homotopy algebra in mathematical physics, J. Math. Phys. 47 (2006) 023506, 28 MR2208168
12	H Kajiura, J Stasheff, Homotopy algebras of open-closed strings, from: "Groups, homotopy and configuration spaces" (editors N Iwase, T Kohno, R Levi, D Tamaki, J Wu), Geom. Topol. Monogr. 13 (2008) 229 MR2508208
13	M Kontsevich, Operads and motives in deformation quantization, Lett. Math. Phys. 48 (1999) 35 MR1718044
14	M Kontsevich, Deformation quantization of Poisson manifolds, Lett. Math. Phys. 66 (2003) 157 MR2062626
15	J L Loday, B Vallette, Algebraic operads, Grundlehren der Mathematischen Wissenschaften 346, Springer (2012) MR2954392
16	P Salvatore, Configuration spaces with summable labels, from: "Cohomological methods in homotopy theory" (editors J Aguadé, C Broto, C Casacuberta), Progr. Math. 196, Birkhäuser (2001) 375 MR1851264
17	A A Voronov, The Swiss-cheese operad, from: "Homotopy invariant algebraic structures" (editors J P Meyer, J Morava, W S Wilson), Contemp. Math. 239, Amer. Math. Soc. (1999) 365 MR1718089