Hamilton, Alastair and Lazarev, Andrey (2009) *Graph cohomology classes in the Batalin-Vilkovisky formalism.* Journal of Geometry and Physics, 59 (5). pp. 555-575. ISSN 0393-0440

Official URL: http://dx.doi.org/10.1016/j.geomphys.2009.01.007

## Abstract

This paper gives a conceptual formulation of Kontsevich’s ‘dual construction’ producing graph cohomology classes from a differential graded Frobenius algebra with an odd scalar product. Our construction–whilst equivalent to the original one–is combinatorics-free and is based on the Batalin–Vilkovisky formalism, from which its gauge independence is immediate.

Item Type: | Article |
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Journal or Publication Title: | Journal of Geometry and Physics |

Uncontrolled Keywords: | Graph cohomology ; Feynman diagrams ; Odd symplectic geometry ; Frobenius algebra |

Subjects: | Q Science > QA Mathematics |

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

ID Code: | 59747 |

Deposited By: | ep_importer_pure |

Deposited On: | 02 Nov 2012 16:10 |

Refereed?: | Yes |

Published?: | Published |

Last Modified: | 16 Oct 2017 05:30 |

Identification Number: | |

URI: | http://eprints.lancs.ac.uk/id/eprint/59747 |

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