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
收藏
页码：103 / 121
页数：19
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