Communications in Mathematical Physics

, Volume 164, Issue 1, pp 105–144 | Cite as

Operadic formulation of topological vertex algebras and Gerstenhaber or Batalin-Vilkovisky algebras

  • Yi-Zhi Huang


We give the operadic formulation of (weak, strong) topological vertex algebras, which are variants of topological vertex operator algebras studied recently by Lian and Zuckerman. As an application, we obtain a conceptual and geometric construction of the Batalin-Vilkovisky algebraic structure (or the Gerstenhaber algebra structure) on the cohomology of a topological vertex algebra (or of a weak topological vertex algebra) by combining this operadic formulation with a theorem of Getzler (or of Cohen) which formulates Batalin-Vilkovisky algebras (or Gerstenhaber algebras) in terms of the homology of the framed little disk operad (or of the little disk operad).


Neural Network Statistical Physic Complex System Nonlinear Dynamics Quantum Computing 
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© Springer-Verlag 1994

Authors and Affiliations

  • Yi-Zhi Huang
    • 1
  1. 1.Department of MathematicsUniversity of PennsylvaniaPhiladelphiaUSA

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