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

共 34 条

[1] The geometry of the master equation and topological quantum field theory [J].

Alexandrov, M ;

Schwarz, A ;

Zaboronsky, O ;

Kontsevich, M .

INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1997, 12 (07) :1405-1429

[2]

[Anonymous], 2002, Quantization, Poisson brackets and beyond (Manchester, 2001)

[3]

Baez John, 2004, Theory and Applications of Categories electronic only, V12, P423

[4]

Baez John Carlos, 1998, Contemporary Mathematics, V230, P1, DOI 10.1090/conm/230/03336

[5] DETERMINATION OF A DOUBLE LIE GROUPOID BY ITS CORE DIAGRAM [J].

BROWN, R ;

MACKENZIE, KCH .

JOURNAL OF PURE AND APPLIED ALGEBRA, 1992, 80 (03) :237-272

[6]

BURSZTYN H, GEN REDUCTION UNPUB

[7] Poisson reduction and branes in Poisson-Sigma models [J].

Calvo, I ;

Falceto, F .

LETTERS IN MATHEMATICAL PHYSICS, 2004, 70 (03) :231-247

[8]

Cattaneo AS, 2009, AIP CONF PROC, V1093, P48

[9] COISOTROPIC EMBEDDINGS IN POISSON MANIFOLDS [J].

Cattaneo, A. S. ;

Zambon, M. .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2009, 361 (07) :3721-3746

[10]

Coste A., 1987, Publ Dp Math Nouvelle Sr A, V2, P1

← 1 2 3 4 →