A Supergeometric Approach to Poisson Reduction

被引：10

作者：

Cattaneo, A. S. ^{[1
]}

Zambon, M. ^{[2
]}

机构：

[1] Univ Zurich Irchel, Inst Math, CH-8057 Zurich, Switzerland

[2] Univ Porto, Dept Matemat Pura, P-4169007 Oporto, Portugal

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2013年 / 318卷 / 03期

关键词：

GEOMETRY;

D O I：

10.1007/s00220-013-1664-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This work introduces a unified approach to the reduction of Poisson manifolds using their description by graded symplectic manifolds. This yields a generalization of the classical Poisson reduction by distributions and allows one to construct actions of strict Lie 2-groups and to describe the corresponding reductions.

引用

页码：675 / 716

页数：42

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