Chuang, Joseph and Lazarev, Andrey (2009) *Abstract Hodge decomposition and minimal models for cyclic algebras.* Letters in Mathematical Physics, 89 (1). pp. 33-49. ISSN 0377-9017

Official URL: http://dx.doi.org/10.1007/s11005-009-0314-7

## Abstract

We show that an algebra over a cyclic operad supplied with an additional linear algebra datum called Hodge decomposition admits a minimal model whose structure maps are given in terms of summation over trees. This minimal model is unique up to homotopy.

Item Type: | Article |
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Journal or Publication Title: | Letters in Mathematical Physics |

Uncontrolled Keywords: | cyclic operad ; cobar-construction ; Hodge decomposition ; minimal model ; a-infinity algebra |

Subjects: | Q Science > QA Mathematics |

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

ID Code: | 59749 |

Deposited By: | ep_importer_pure |

Deposited On: | 31 Oct 2012 16:50 |

Refereed?: | Yes |

Published?: | Published |

Last Modified: | 07 Jan 2015 18:02 |

Identification Number: | |

URI: | http://eprints.lancs.ac.uk/id/eprint/59749 |

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