Homotopy Gerstenhaber algebras and topological field theory

Details Homotopy Gerstenhaber algebras and topological field theory Homotopy Gerstenhaber algebras and topological field theory

1996-02-02

arxiv.org/abs/q-alg/9602009v2

Physics

High Energy Physics

High Energy Physics - Theory

29 pages, to appear in "Operads: Proceedings of Renaissance Conferences", J.-L. Loday, J. Stasheff, and A.A. Voronov, eds., Co

Scientific paper

We prove that the BRST complex of a topological conformal field theory is a homotopy Gerstenhaber algebra, as conjectured by Lian and Zuckerman in 1992. We also suggest a refinement of the original conjecture for topological vertex operator algebras. We illustrate the usefulness of our main tools, operads and "string vertices" by obtaining new results on Vassiliev invariants of knots and double loop spaces.

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