Graph cohomology classes in the Batalin-Vilkovisky formalism

Alastair Hamilton, Andrey Lazarev

Research output: Contribution to journalReview articlepeer-review

10 Scopus citations


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.

Original languageEnglish
Pages (from-to)555-575
Number of pages21
JournalJournal of Geometry and Physics
Issue number5
StatePublished - May 2009


  • Feynman diagrams
  • Frobenius algebra
  • Graph cohomology
  • Odd symplectic geometry


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