Poisson Geometry Related to Atiyah Sequences

Kirill Mackenzie,Anatol Odzijewicz,Aneta Slizewska

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS（2018）

引用 3|浏览3

暂无评分

摘要

We construct and investigate a short exact sequence of Poisson VB-groupoids which is canonically related to the Atiyah sequence of a G-principal bundle P. Our results include a description of the structure of the symplectic leaves of the Poisson groupoid T*P x T*P/G paired right arrows T*P/G. The semidirect product case, which is important for applications in Hamiltonian mechanics, is also discussed.

查看译文

关键词

Atiyah sequence,VB-groupoid,Poisson groupoid,dualization of VB-groupoid

AI 理解论文

溯源树

样例

生成溯源树，研究论文发展脉络

Chat Paper

正在生成论文摘要