Toeplitz quantization and symplectic reduction

被引：3

作者：

Ma, Xiaonan ^{[1
]}

Zhang, Weiping ^{[2
,3
]}

机构：

[1] Ecole Polytech, CNRS, UMR 7640, Ctr Math Laurent Schwartz, F-91128 Palaiseau, France

[2] Nankai Univ, Chern Inst Math, Tianjin 300071, Peoples R China

[3] Nankai Univ, LPMC, Tianjin 300071, Peoples R China

来源：

DIFFERENTIAL GEOMETRY AND PHYSICS | 2006年 / 10卷

关键词：

D O I：

10.1142/9789812772527_0029

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In 9, we announced the asymptotic expansion of the G-invariant Bergman kernel of the spin(c) Dirac operator associated with high tensor powers of a positive line bundle on a symplectic manifold. In this note, we describe several consequences of our asymptotic expansion of the G-invariant Bergman kernel in the Kdhler case, especially, we study the Toeplitz quantization in the framework of the symplectic reduction. The full details can be found in (10).

引用

页码：343 / +

页数：3

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