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arXiv · q-alg/9602009

Homotopy Gerstenhaber algebras and topological field theory

Takashi Kimura·Alexander A. Voronov·Gregg J. Zuckerman
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Abstract

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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BibTeXRIS

Takashi Kimura, Alexander A. Voronov, Gregg J. Zuckerman. 1996-03-18. Homotopy Gerstenhaber algebras and topological field theory. https://arxiv.org/abs/q-alg/9602009

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