Gerstenhaber algebras and BV-algebras in Poisson geometry

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.
18 pages, LaTeX

Keywords

Differential Geometry, Algebraic Geometry, Quantum Algebra

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/152214

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/dg-ga/9703001
 http://arxiv.org/abs/dg-ga/9703001

Collections

arXiv