Homotopy Gerstenhaber algebras and topological field theory
q-alg
2008-02-03 v2 High Energy Physics - Theory
Quantum Algebra
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.
Keywords
Cite
@article{arxiv.q-alg/9602009,
title = {Homotopy Gerstenhaber algebras and topological field theory},
author = {Takashi Kimura and Alexander A. Voronov and Gregg J. Zuckerman},
journal= {arXiv preprint arXiv:q-alg/9602009},
year = {2008}
}
Comments
29 pages, to appear in "Operads: Proceedings of Renaissance Conferences", J.-L. Loday, J. Stasheff, and A.A. Voronov, eds., Contemp. Math., AMS, Providence, RI (1996). In the resubmitted version, a few inaccuracies corrected