Homotopy Gerstenhaber Structures and Vertex Algebras

Details Homotopy Gerstenhaber Structures and Vertex Algebras Homotopy Gerstenhaber Structures and Vertex Algebras

2006-11-08

arxiv.org/abs/math/0611231v2

Mathematics

Quantum Algebra

Scientific paper

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.

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