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 find an explicit connection between the Koszul-Brylinski operator and the modular class of a Poisson manifold. As a consequence, we prove that Poisson homology is isomorphic to Poisson cohomology for unimodular Poisson structures.
Original language | English (US) |
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Pages (from-to) | 545-560 |
Number of pages | 16 |
Journal | Communications In Mathematical Physics |
Volume | 200 |
Issue number | 3 |
DOIs | |
State | Published - 1999 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics