Quantization of Compact Symplectic Manifolds

被引：0

作者：

Laurent Charles

机构：

[1] Sorbonne Universités,UMR 7586, Institut de Mathématiques de Jussieu

[2] UPMC Univ Paris 06,Paris Rive Gauche

来源：

The Journal of Geometric Analysis | 2016年 / 26卷

关键词：

Berezin–Toeplitz operators; Geometric quantization; Symplectic compact manifold; Semiclassical limit; Spin-c Dirac operator; 81S10;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We develop the theory of Berezin–Toeplitz operators on any compact symplectic prequantizable manifold from scratch. Our main inspiration is the Boutet de Monvel–Guillemin theory, which we simplify in several ways to obtain a concise exposition. A comparison with the spin-c Dirac quantization is also included.

引用

页码：2664 / 2710

页数：46

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