Alexander A. Voronov
University of Minnesota
BV Quantization, I: Berezin Integration and Mathai-Quillen's Trick
Abstract: This talk will start an overview of recent, unpublished
papers by Losev and Hamilton-Lazarev explaining to the math world a
very popular among theoretical physicists procedure of BV
quantization. It is basically a certain formalism allowing to reduce
integration to fewer variables, namely to the orbit space of a Lie
group acting on a manifold.
In the first talk, I will introduce integration over supermanifolds
(Berezin integration) and discuss a formalism, due to Mathai and
Quillen, of integrating over a submanifold. No super integration
skills required.