Reduction of multisymplectic manifolds

被引：14

作者：

Blacker, Casey ^{[1
,2
]}

机构：

[1] St Petersburg State Univ, 14th Line 29B, St Petersburg 199178, Russia

[2] Leonhard Euler Int Math Inst St Petersburg, 14th Line 29B, St Petersburg 199178, Russia

来源：

LETTERS IN MATHEMATICAL PHYSICS | 2021年 / 111卷 / 03期

基金：

中国博士后科学基金;

关键词：

Multisymplectic geometry; Moment maps; Duistermaat-Heckman theorems; 53D05; 53D20; 70S05; 70S10; COURANT ALGEBROIDS; GEOMETRY; QUANTIZATION; CONVEXITY; FORMS;

D O I：

10.1007/s11005-021-01408-y

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We extend the Marsden-Weinstein-Meyer symplectic reduction theorem to the setting of multisymplectic manifolds. In this context, we investigate the dependence of the reduced space on the reduction parameters. With respect to a distinguished class of multisymplectic moment maps, an exact stationary phase approximation and nonabelian localization theorem are also obtained.

引用

页数：30

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