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Graph cohomology classes in the Batalin-Vilkovisky formalism

Quantum Algebra 2010-05-12 v1 High Energy Physics - Theory Geometric Topology

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.

Cite

@article{arxiv.math/0701825,
  title  = {Graph cohomology classes in the Batalin-Vilkovisky formalism},
  author = {Alastair Hamilton and Andrey Lazarev},
  journal= {arXiv preprint arXiv:math/0701825},
  year   = {2010}
}

Comments

24 pages

R2 v1 2026-07-22T17:50:04.651Z