论文标题

降低准散歧管歧管的符号类别和商

Reduction of symplectic groupoids and quotients of quasi-Poisson manifolds

论文作者

Álvarez, D.

论文摘要

在这项工作中,我们研究了准辉石歧管的商的整合性。我们的方法使我们能够在公共框架中提出几个有关泊松商的整合性的经典结果。通过对降低符号类固醇的一种已知的方法进行分类,我们还描述了双符号类固醇,该类固醇集成了最近引入的poisson groupoid在仪表类固醇上的结构。

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.

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