English

On higher Poisson and Koszul--Schouten brackets

Mathematical Physics 2010-02-24 v2 math.MP

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.

Cite

@article{arxiv.0910.1992,
  title  = {On higher Poisson and Koszul--Schouten brackets},
  author = {Andrew James Bruce},
  journal= {arXiv preprint arXiv:0910.1992},
  year   = {2010}
}

Comments

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

R2 v1 2026-06-21T13:56:53.282Z