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Graph cohomology classes in the Batalin-Vilkovisky formalism

Research output: Contribution to journalJournal article

<mark>Journal publication date</mark>05/2009
<mark>Journal</mark>Journal of Geometry and Physics
Issue number5
Number of pages21
Pages (from-to)555-575
<mark>Original language</mark>English


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.