On higher Poisson and Koszul--Schouten brackets

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.

10 pages, based on a talk presented by the author at the first HEP Young Theorists' Forum, University College London, 14-15 May 2009 Corrected typos and improved section 4

References in corpus (2)

• Non-Commutative Batalin-Vilkovisky Algebras, Homotopy Lie Algebras and the Courant Bracket
• Homotopy Batalin-Vilkovisky algebras

Cited by in corpus (1)

• On homotopy Poisson actions and reduction of symplectic Q-manifolds