Alexander A. Voronov
University of Minnesota
BV Quantization, II: Mathai-Quillen's Trick and BV Master Equation
Abstract: This is the second talk in a series whose goal is to
overview recent, unpublished papers by Losev and Hamilton-Lazarev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 this talk, I will discuss a formalism, due to Mathai and Quillen,
of integrating over a submanifold. Then I will look at the question of
integrating along the fibers of a quotient manifold (AKA pushforward
of differential forms) and its translation to the BV language.