# 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)

adam.biggs-2@postgrad.manchester.ac.uk

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 $M$.