The BV-algebra of a Jacobi manifold

1999/04/21 by Izu Vaisman, Vaisman, Izu · 1 citation
Mathematics · #17B66 #58F05 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Differential Geometry (math.DG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG) #math.DG #math.SG #msc:17B66 #msc:58F05

paper · pdf · doi:10.48550/arxiv.math/9904112

LaTex, 20 pages

arxiv created 1999/04/21 · openalex publication_date 1999/04/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the Gerstenhaber algebra of the 1-jet Lie algebroid of a Jacobi manifold has a canonical exact generator, and discuss duality between its homology and the Lie algebroid cohomology. We also discuss a new example of a Lie bialgebroid on Poisson manifolds.

Cited by

• Generalized Lie bialgebroids and Jacobi structures

Related

• BV Algebras with Applications to Lie Bialgebras and Poisson Cohomology
• BV-generators and Lie algebroids
• Gerstenhaber algebras and BV-algebras in Poisson geometry
• Jacobi structures in supergeometric formalism
• Reduction of Jacobi manifolds via Dirac structures theory