On higher Poisson and Koszul--Schouten brackets

2009/10/11 by Andrew James Bruce, Bruce, Andrew James
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Physical sciences #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph)

paper · pdf · doi:10.48550/arxiv.0910.1992

openalex publication_date 2009/10/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note we show how to construct a homotopy BV-algebra on the algebra of differential forms over a higher Poisson manifold. The Lie derivative along the higher Poisson structure provides the generating operator.

Citations

• Delta-Operator on Semidensities and Integral Invariants in the Batalin-Vilkovisky Geometry
• Homotopy Batalin-Vilkovisky algebras
• Koszul duality for operads

Related

• Thick morphisms, higher Koszul brackets, and L_∞-algebroids
• Higher derived brackets
• Lifting a Weak Poisson Bracket to the Algebra of Forms
• The Canonical Differential Complex of Poisson Manifold and Distributions
• Double bracket structures on Poisson manifolds