论文标题
在乘法Grothendieck-Springer分辨率上的准辉煌结构
A quasi-Poisson structure on the multiplicative Grothendieck-Springer resolution
论文作者
论文摘要
在本说明中，我们表明，乘型Grothendieck-Springer空间具有天然的准散森结构。相关的群体值矩图是分辨率的态度，准哈米尔顿叶是Steinberg纤维前图的连接组成部分。这是标准泊松结构在添加剂Grothendieck-Springer分辨率上的乘法类似物，也是对沿DIRAC实现的更一般过程的明确说明，这是在作者和Mayrand的最新工作中开发的。
In this note we show that the multiplicative Grothendieck-Springer space has a natural quasi-Poisson structure. The associated group-valued moment map is the resolution morphism, and the quasi-Hamiltonian leaves are the connected components of the preimages of Steinberg fibers. This is a multiplicative analogue of the standard Poisson structure on the additive Grothendieck-Springer resolution, and an explicit illustration of a more general procedure of reduction along Dirac realizations which is developed in recent work of the author and Mayrand.
