论文标题
沿着强的狄拉克地图减少
Reduction along strong Dirac maps
论文作者
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.