Graph cohomology classes in the Batalin-Vilkovisky formalism

Abstract

We give 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.

24 pages

References in corpus (3)

• On a theorem of Kontsevich
• Homotopy algebras and noncommutative geometry
• A super-analogue of Kontsevich's theorem on graph homology

Cited by in corpus (6)

• Knot Invariants and New Weight Systems from General 3D TFTs
• Unimodular homotopy algebras and Chern-Simons theory
• Minimal models of quantum homotopy Lie algebras via the BV-formalism
• Odd Chern-Simons Theory, Lie Algebra Cohomology and Characteristic Classes
• Introduction to Graded Geometry, Batalin-Vilkovisky Formalism and their Applications
• A symmetric version of Kontsevich graph complex and Leibniz homology