Manchester Geometry Seminar 2012/2013

Thursday 28 February 2013. The Frank Adams Room (Room 1.212), the Alan Turing Building. 4.15pm

Classifying Lifts of Poisson Structures on the Algebra of Densities

Adam Biggs (University of Manchester)

The odd cotangent bundle of the algebra of densities inherits a canonical odd Laplacian and this operator allows us to naturally lift arbitrary functions on $\Pi T^* M$ in a way that preserves the odd Poisson bracket. Using this we can classify all multivector fields on the algebra of densities that obey the master equation and lie above a fixed multivector field on $M$.