A SIMPLE GEOMETRICAL CONSTRUCTION OF DEFORMATION QUANTIZATION

被引：526

作者：

FEDOSOV, BV ^{[1
]}

机构：

[1] MOSCOW INST PHYS & TECHNOL,MOSCOW,RUSSIA

来源：

JOURNAL OF DIFFERENTIAL GEOMETRY | 1994年 / 40卷 / 02期

关键词：

D O I：

10.4310/jdg/1214455536

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A construction, providing a canonical star-product associated with any symplectic connection on symplectic manifold, is considered. An action of symplectomorphisms by automorphisms of star-algebra is introduced, as well as a trace construction. Generalizations for regular Poisson manifolds and for coefficients in the bundle Hom(E, E) are given.

引用

页码：213 / 238

页数：26

共 8 条

[1] DEFORMATION THEORY AND QUANTIZATION .1. DEFORMATIONS OF SYMPLECTIC STRUCTURES [J].