Geometric Quantization on Kahler and Symplectic Manifolds

被引：0
|
作者：
Ma, Xiaonan [1 ]
机构：
[1] Univ Paris Diderot Paris 7, UFR Math, Case 7012,Site Chevaleret, F-75205 Paris 13, France
来源：
PROCEEDINGS OF THE INTERNATIONAL CONGRESS OF MATHEMATICIANS, VOL II: INVITED LECTURES | 2010年
关键词：
Bergman kernel; Dirac operator; Geometric quantization; Index theorem; GENERALIZED BERGMAN KERNELS; ASYMPTOTIC-EXPANSION; TOEPLITZ-OPERATORS; MORSE INEQUALITIES; MULTIPLICITIES; FORMULA; CONJECTURE; METRICS; THEOREM; POWERS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We explain various results on the asymptotic expansion of the Bergman kernel on Haler manifolds and also on symplectic manifolds. We also review the "quantization commutes with reduction" phenomenon for a compact Lie group action, and its relation to the Bergman kernel.
引用
收藏
页码：785 / 810
页数：26
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