Riemannian foliations and geometric quantization

被引：0

作者：

Lin, Yi ^{[1
]}

Loizides, Yiannis ^{[2
]}

Sjamaar, Reyer ^{[3
]}

Song, Yanli ^{[4
]}

机构：

[1] Georgia Southern Univ, Statesboro, GA USA

[2] George Mason Univ, Fairfax, VA 22030 USA

[3] Cornell Univ, Ithaca, NY USA

[4] Washington Univ St Louis, St Louis, MO USA

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2024年 / 198卷

关键词：

Symplectic geometry; Geometric quantization; Riemannian foliations; DIRAC OPERATORS; PROPER ACTIONS; LOCALIZATION; CONJECTURE;

D O I：

10.1016/j.geomphys.2024.105133

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce geometric quantization for constant rank presymplectic structures with Riemannian null foliation and compact leaf closure space. We prove a quantizationcommutes -with -reduction theorem in this context. Examples related to symplectic toric quasi -folds, suspensions of isometric actions of discrete groups, and K -contact manifolds are discussed. (c) 2024 Elsevier B.V. All rights reserved.

引用

页数：35

共 45 条

[1] PARALLELIZABILITY OF PROPER ACTIONS, GLOBAL K-SLICES AND MAXIMAL COMPACT SUBGROUPS [J].