The regularity of almost-commuting partial Grothendieck--Springer resolutions and parabolic analogs of Calogero--Moser varieties

Mee Seong Im, Travis Scrimshaw

Consider the moment map $\mu :T^{\ast }(\mathfrak{p}\times {\mathbb{C}}^n)\to {\mathfrak{p}}^{\ast }$ for a parabolic subalgebra $\mathfrak{p}$ of ${\mathfrak{gl}}_n(\mathbb{C})$. We prove that…