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2009 Cohomology theories for homotopy algebras and noncommutative geometry
Alastair Hamilton, Andrey Lazarev
Algebr. Geom. Topol. 9(3): 1503-1583 (2009). DOI: 10.2140/agt.2009.9.1503

Abstract

This paper builds a general framework in which to study cohomology theories of strongly homotopy algebras, namely A–, C– and L–algebras. This framework is based on noncommutative geometry as expounded by Connes and Kontsevich. The developed machinery is then used to establish a general form of Hodge decomposition of Hochschild and cyclic cohomology of C–algebras. This generalises and puts in a conceptual framework previous work by Loday and Gerstenhaber–Schack.

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Alastair Hamilton. Andrey Lazarev. "Cohomology theories for homotopy algebras and noncommutative geometry." Algebr. Geom. Topol. 9 (3) 1503 - 1583, 2009. https://doi.org/10.2140/agt.2009.9.1503

Information

Received: 2 December 2008; Revised: 31 May 2009; Accepted: 23 June 2009; Published: 2009
First available in Project Euclid: 20 December 2017

zbMATH: 1179.13010
MathSciNet: MR2530125
Digital Object Identifier: 10.2140/agt.2009.9.1503

Subjects:
Primary: 13D03, 13D10
Secondary: 46L87

Rights: Copyright © 2009 Mathematical Sciences Publishers

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