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：

暂无

中图分类号：

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.

引用

页码：596 / 640

页数：44

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