Geometry and Mathematical Physics Seminar 2013/2014

Thursday 14 November 2013. The Frank Adams Room (Room 1.212), the Alan Turing Building. 3.15pm

Higher Poisson and Higher Koszul Brackets Theodore Voronov (University of Manchester)

theodore.voronov@manchester.ac.uk

I will recall how a Poisson structure on a manifold is defined in terms on derived brackets and how the Koszul bracket on differential forms arises for a Poisson manifold. Then I will discuss a generalization of Koszul brackets to the case of "higher" or "homotopy" Poisson structure. The aim is to introduce to the ideas of our paper http://arxiv.org/abs/0808.3406. (There is an interesting open question there.) This is meant to be a mild introduction to various structures arising on the way.