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

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

1993-06-03

arxiv.org/abs/hep-th/9306021v1

Commun.Math.Phys. 164 (1994) 105-144

Physics

High Energy Physics

High Energy Physics - Theory

42 pages

Scientific paper

10.1007/BF02108808

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).

Affiliated with

Also associated with

No associations

Rating

Operadic formulation of topological vertex algebras and Gerstenhaber or Batalin-Vilkovisky algebras does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Operadic formulation of topological vertex algebras and Gerstenhaber or Batalin-Vilkovisky algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Operadic formulation of topological vertex algebras and Gerstenhaber or Batalin-Vilkovisky algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-438669