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Gerstenhaber algebras and BV-algebras in Poisson geometry

Ping Xu
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Abstract

The purpose of this paper is to establish an explicit correspondence between various geometric structures on a vector bundle with some well-known algebraic structures such as Gerstenhaber algebras and BV-algebras. Some applications are discussed. In particular, we found an explicit connection between the Koszul-Brylinski operator of a Poisson manifold and its modular class. As a consequence, we prove that Poisson homology is isomorphic to Poisson cohomology for unimodular Poisson structures.

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BibTeXRIS

Ping Xu. 1997-03-01. Gerstenhaber algebras and BV-algebras in Poisson geometry. https://arxiv.org/abs/dg-ga/9703001

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