The characteristic classes of Morita equivalent star products on symplectic manifolds

被引：31

作者：

Bursztyn, H ^{[1
]}

Waldmann, S

机构：

[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA

[2] Univ Freiburg, Fak Phys, D-79104 Freiburg, Germany

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2002年 / 228卷 / 01期

关键词：

D O I：

10.1007/s002200200657

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper we give a complete characterization of Morita equivalent star products on symplectic manifolds in terms of their characteristic classes: two star products star and star' on (M,omega) are Morita equivalent if and only if there exists a symplectomorphism psi : M --> M such that the relative class t(star, psi*(star')) is 2pi i-integral. For star products on cotangent bundles, we show that this integrality condition is related to Dirac's quantization condition for magnetic charges.

引用

页码：103 / 121

页数：19