Poisson geometry of the Grothendieck resolution of a complex semisimple group

Sam Evens, Jiang-Hua Lu

We study a Poisson structure $\pi$ on the Grothendieck resolution $X$ of a complex semi-simple group $G$ and prove that the desingularization map $\mu :(X,\pi )\to (G,{\pi }_0)$ is Poisson, wh…