REDUCTION OF SYMPLECTIC GROUPOIDS AND QUOTIENTS OF QUASI-POISSON MANIFOLDS

被引：0

作者：

Alvarez, Daniel ^{[1
]}

机构：

[1] Univ Nacl Autonoma Mexico, Dept Matemat, Fac Ciencias, Mexico City 04510, DF, Mexico

来源：

TRANSFORMATION GROUPS | 2023年 / 28卷 / 04期

关键词：

DOUBLE LIE ALGEBROIDS; INTEGRABILITY; INTEGRATION;

D O I：

10.1007/s00031-022-09700-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, we study the integrability of quotients of quasi-Poisson manifolds. Our approach allows us to put several classical results about the integrability of Poisson quotients in a common framework. By categorifying one of the already known methods of reducing symplectic groupoids we also describe double symplectic groupoids, which integrate the recently introduced Poisson groupoid structures on gauge groupoids.

引用

页码：1357 / 1374

页数：18

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