QUANTIZATION COMMUTES WITH REDUCTION, A SURVEY

doi:10.1007/s10473-021-0604-4

数学物理学报(英文版) ›› 2021, Vol. 41 ›› Issue (6): 1859-1872.doi: 10.1007/s10473-021-0604-4

QUANTIZATION COMMUTES WITH REDUCTION, A SURVEY

Xiaonan MA

Institut de Mathématiques de Jussieu-Paris Rive Gauche, Université de Paris, UFR de Mathématiques, Case 7012, 75205 Paris Cedex 13, France

收稿日期:2021-03-08 修回日期:2021-07-09 出版日期:2021-12-25 发布日期:2021-12-27
作者简介:Xiaonan MA,E-mail:xiaonan.ma@imj-prg.fr

QUANTIZATION COMMUTES WITH REDUCTION, A SURVEY

Xiaonan MA

Institut de Mathématiques de Jussieu-Paris Rive Gauche, Université de Paris, UFR de Mathématiques, Case 7012, 75205 Paris Cedex 13, France

Received:2021-03-08 Revised:2021-07-09 Online:2021-12-25 Published:2021-12-27

摘要/Abstract

摘要： We review the themes relating to the proposition that "quantization commutes with reduction" ([Q, R]=0), from symplectic manifolds to Cauchy-Riemann manifolds.

关键词: index theory, Dirac operator, geometric quantization

Abstract: We review the themes relating to the proposition that "quantization commutes with reduction" ([Q, R]=0), from symplectic manifolds to Cauchy-Riemann manifolds.

Key words: index theory, Dirac operator, geometric quantization

中图分类号:

58J20

Xiaonan MA. QUANTIZATION COMMUTES WITH REDUCTION, A SURVEY[J]. 数学物理学报(英文版), 2021, 41(6): 1859-1872.

Xiaonan MA. QUANTIZATION COMMUTES WITH REDUCTION, A SURVEY[J]. Acta mathematica scientia,Series B, 2021, 41(6): 1859-1872.

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QUANTIZATION COMMUTES WITH REDUCTION, A SURVEY

QUANTIZATION COMMUTES WITH REDUCTION, A SURVEY

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