1996/02/02 by Takashi Kimura, Kimura, Takashi, Alexander A. Voronov +3 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #hep-th #math.QA #q-alg
paper · pdf · doi:10.48550/arxiv.q-alg/9602009
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
openalex publication_date 1996/02/02 · arxiv created 1996/03/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.