From topological field theory to deformation quantization and reduction

From topological field theory to deformation quantization and reduction
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从拓扑场论到形变量化与还原

DOI:
10.4171/022-3/18
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发表时间:
2007
期刊:
arXiv: Mathematical Physics
影响因子:
--
通讯作者:
A. Cattaneo
A. Cattaneo
中科院分区:
--
文献类型:
--
作者:
A. Cattaneo

文献摘要

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本文介绍二维拓扑场论的泛函积分量子化及其在泊松流形的形变量子化和某些子流形的约化问题中的应用。简要介绍光滑分次流形和Batalin-Vilkovisky形式主义。
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.