XXVII Workshop on Geometric Methods in Physics 29.06-05.07.2008

Theodore Voronov

Higher Poisson brackets and differential forms

I shall show how the relation between Poisson brackets and symplectic forms can be extended to inhomogeneous multivector fields and inhomogeneous differential forms. It gives a generalization of the notion of a symplectic structure and the Koszul bracket. (Based on a work with progress with H. Khudaverdian)