Hamilton, Alastair and Lazarev, Andrey (2009) *Cohomology theories for homotopy algebras and noncommutative geometry.* Algebraic and Geometric Topology, 9 (3). pp. 1503-1583. ISSN 1472-2747

Official URL: http://dx.doi.org/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.

Item Type: | Article |
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Journal or Publication Title: | Algebraic and Geometric Topology |

Uncontrolled Keywords: | infinity-algebra ; cyclic cohomology ; Harrison cohomology ; symplectic structure ; Hodge decomposition |

Subjects: | Q Science > QA Mathematics |

Departments: | Faculty of Science and Technology > Mathematics and Statistics |

ID Code: | 60053 |

Deposited By: | ep_importer_pure |

Deposited On: | 16 Nov 2012 15:01 |

Refereed?: | Yes |

Published?: | Published |

Last Modified: | 07 Jan 2015 18:04 |

Identification Number: | |

URI: | http://eprints.lancs.ac.uk/id/eprint/60053 |

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