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Homotopy Gerstenhaber Structures and Vertex Algebras

Imma Gálvez·Vassily Gorbounov·Andrew Tonks
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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.

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Imma Gálvez, Vassily Gorbounov, Andrew Tonks. 2008-08-06. Homotopy Gerstenhaber Structures and Vertex Algebras. https://doi.org/10.1007/s10485-008-9170-3

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