Homotopy Gerstenhaber Structures and Vertex Algebras
Quantum Algebra
2014-05-01 v2
Abstract
We provide a simple construction of a Gerstenhaber-infinity algebra structure on a class of vertex algebras V, which lifts the strict Gerstenhaber algebra structure on BRST cohomology of V introduced by Lian and Zuckerman. We outline two applications: the construction of a sheaf of Gerstenhaber-infinity algebras on a Calabi-Yau manifold extending the multiplication and bracket of functions and vector fields, and of a Lie-infinity structure related to the bracket of Courant.
Cite
@article{arxiv.math/0611231,
title = {Homotopy Gerstenhaber Structures and Vertex Algebras},
author = {Imma Gálvez and Vassily Gorbounov and Andrew Tonks},
journal= {arXiv preprint arXiv:math/0611231},
year = {2014}
}