Gerstenhaber algebras and BV-algebras in Poisson geometry

Simple item page
dc.creatorXu, Ping
dc.date1997-03-01
dc.date.accessioned2026-07-07T09:12:59Z
dc.date.available2026-07-07T09:12:59Z
dc.descriptionThe 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.
dc.description18 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/dg-ga/9703001
dc.identifierhttp://arxiv.org/abs/dg-ga/9703001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152214
dc.subjectDifferential Geometry
dc.subjectAlgebraic Geometry
dc.subjectQuantum Algebra
dc.titleGerstenhaber algebras and BV-algebras in Poisson geometry
dc.typetext

Files

Collections

arXiv