论文标题

沿着强的狄拉克地图减少

Reduction along strong Dirac maps

论文作者

Balibanu, Ana, Mayrand, Maxence

论文摘要

我们开发了一种沿强dirac地图减少的一般程序,这是Poisson动量图的广泛概括。我们在Poisson和Quasi-Poisson几何形状中恢复了大量熟悉的结构,并介绍了Poisson,Quasi-Poisson和Dirac降低结构的新示例。特别是,我们获得了几何表示理论研究的几类空间的准辉石类似物。

We develop a general procedure for reduction along strong Dirac maps, which are a broad generalization of Poisson momentum maps. We recover a large number of familiar constructions in Poisson and quasi-Poisson geometry, and we introduce new examples of Poisson, quasi-Poisson, and Dirac reduced structures. In particular, we obtain quasi-Poisson analogues of several classes of spaces that are studied in geometric representation theory.

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