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)

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 (There is an interesting open question there.) This is meant to be a mild introduction to various structures arising on the way.