I think the momentum map is $J(z)=-\mbox{Im}<\xi z,w>$? is all right? to verify this I have to do that: $$i_{\xi_{M}}\omega=dH_{\xi}$$ where with $\xi_{M}z=\xi z$ I noted infin …

Let $\mathcal{B}$ be the flag variety and $\mathcal{N} \subset \mathfrak{g}$ is the nilpotent cone. We know that the Springer resolution $$ \mu: T^*\mathcal{B}\rightarrow \mathcal{ …

Given a symplectic manifold $(X, \omega)$ and a group $G$ acting on $X$ preserving the symplectic form, we define the moment map $\mu : X \to \mathfrak{g}^*$ so that $$ \langle d\m …

This is a follow-up to some earlier questions about flatness of schematic fixed points of certain deformations. Since I could never come up with good enough hypotheses in those ex …