The Procesi bundle over the $\Gamma$-fixed points of the Hilbert scheme of points in ${\mathbb{C}}^2$

Gwyn Bellamy, Raphaël Paegelow

For $\Gamma$ a finite subgroup of ${\mathrm{SL}}_2(\mathbb{C})$ and $n\ge 1$, we study the fibers of the Procesi bundle over the $\Gamma$-fixed points of the Hilbert scheme of $n$ points in…