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Graph cohomology classes in the Batalin-Vilkovisky formalism

Research output: Contribution to journalJournal article


Journal publication date05/2009
JournalJournal of Geometry and Physics
Journal number5
Number of pages21
Original languageEnglish


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.