From topological field theory to deformation quantization and reduction
Mathematical Physics
2016-08-24 v1 High Energy Physics - Theory
math.MP
Quantum Algebra
Symplectic Geometry
Abstract
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.
Cite
@article{arxiv.1608.06576,
title = {From topological field theory to deformation quantization and reduction},
author = {Alberto S. Cattaneo},
journal= {arXiv preprint arXiv:1608.06576},
year = {2016}
}
Comments
26 pages. This is my contribution to ICM 2006 which I never uploaded on the arXiv