Quantization Formula for Symplectic Manifolds with Boundary

被引：0
|
作者：
Y. Tian
W. Zhang
机构：
[1] CUNY Graduate Center and NYU Courant Institute,
[2] New York,undefined
[3] USA,undefined
[4] Nankai Inst. of Math.,undefined
[5] Nankai University,undefined
[6] Tianjin 300071,undefined
[7] People's Republic of China,undefined
[8] e-mail: weiping@sun.nankai.edu.cn,undefined
来源：
Geometric & Functional Analysis GAFA | 1999年 / 9卷
关键词：
Analytic Approach; Symplectic Manifold; Analytic Analogue; General Quantization; Simple Application;
D O I：
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学科分类号：
摘要：
We extend our earlier work in [TiZ1], where an analytic approach to the Guillemin-Sternberg geometric quantization conjecture [GuSt] was developed, to the case of manifolds with boundary. We also give a general quantization formula that works for both regular and singular reductions. As simple applications, we prove an analytic analogue of the relative residue formula of Guillemin-Kalkman [GuK] and Martin [M], as well as a Guillemin-Sternberg type formula for singular reductions under circle actions.
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页码：596 / 640
页数：44
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