Quantization of Compact Symplectic Manifolds

被引：25

作者：

Charles, Laurent ^{[1
]}

机构：

[1] Univ Paris 06, Sorbonne Univ, Inst Math Jussieu Paris Rive Gauche, UMR 7586, F-75005 Paris, France

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2016年 / 26卷 / 04期

关键词：

Berezin-Toeplitz operators; Geometric quantization; Symplectic compact manifold; Semiclassical limit; Spin-c Dirac operator; SOMMERFELD-LAGRANGIAN SUBMANIFOLDS; TOEPLITZ-OPERATORS; KAHLER-MANIFOLDS; BERGMAN-KERNEL; LINE BUNDLES; ASYMPTOTICS;

D O I：

10.1007/s12220-015-9644-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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：47

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