Homotopy Gerstenhaber Structures and Vertex Algebras
Abstract
We provide a simple construction of a Gerstenhaberinfinity 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 Gerstenhaberinfinity algebras on a CalabiYau manifold extending the multiplication and bracket of functions and vector fields, and of a Lieinfinity structure related to the bracket of Courant.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 November 2006
 arXiv:
 arXiv:math/0611231
 Bibcode:
 2006math.....11231G
 Keywords:

 Mathematics  Quantum Algebra;
 17B69;
 81T40;
 55S20
 EPrint:
 Applied Categical Structures 18 (2010), no. 1, 115