Algebraic & Geometric Topology Volume 13, issue 1 (2013)

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ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

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Derived $A_{\infty}$–algebras in an operadic context

Muriel Livernet, Constanze Roitzheim and Sarah Whitehouse

Algebraic & Geometric Topology 13 (2013) 409–440

DOI: 10.2140/agt.2013.13.409

Bibliography

1	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
2	B Fresse, Operadic cobar constructions, cylinder objects and homotopy morphisms of algebras over operads, from: "Alpine perspectives on algebraic topology" (editors C Ausoni, K Hess, J Scherer), Contemp. Math. 504, Amer. Math. Soc. (2009) 125 MR2581912
3	J E Harper, Homotopy theory of modules over operads and non-Σ operads in monoidal model categories, J. Pure Appl. Algebra 214 (2010) 1407 MR2593672
4	T V Kadeišvili, On the theory of homology of fiber spaces, Uspekhi Mat. Nauk 35 (1980) 183 MR580645
5	M Livernet, Pre-Lie systems and obstruction to A_∞–structures over a ring arXiv:1110.2347
6	J L Loday, B Vallette, Algebraic operads, 346, Springer (2012) MR2954392
7	F Muro, Homotopy theory of nonsymmetric operads, Algebr. Geom. Topol. 11 (2011) 1541 MR2821434
8	C Roitzheim, S Whitehouse, Uniqueness of A_∞–structures and Hochschild cohomology, Algebr. Geom. Topol. 11 (2011) 107 MR2764038
9	S Sagave, DG-algebras and derived A_∞–algebras, J. Reine Angew. Math. 639 (2010) 73 MR2608191