From topological field theory to deformation quantization and reduction

Alberto S. Cattaneo

Published 2016-08-23Version 1

This note describes the functional-integral quantization of two-dimensional topological field theories together with applications to problems in deformation quantization of Poisson manifolds and reduction of certain submanifolds. A brief introduction to smooth graded manifolds and to the Batalin-Vilkovisky formalism is included.