Homotopy Gerstenhaber algebras and topological field theory
arXiv:q-alg/9602009
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.
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
References in corpus (6)
- Operads, homotopy algebra and iterated integrals for double loop spaces
- Batalin-Vilkovisky algebras and two-dimensional topological field theories
- Algebraic Structures and Differential Geometry in 2D String Theory
- On operad structures of moduli spaces and string theory
- Operadic formulation of topological vertex algebras and Gerstenhaber or Batalin-Vilkovisky algebras
- Topological field theories, string backgrounds and homotopy algebras