Orbifold Quot schemes via the Le Bruyn-Procesi theorem

Abstract

This note provides a short proof of the fact that the reduced scheme underlying each orbifold Quot scheme associated to a finite subgroup of SL(2,C) is isomorphic to a Nakajima quiver variety. Our approach uses recent work of the author with Yamagishi, allowing us to bypass the combinatorial arguments and the use of recollement from the original paper with Gammelgaard, Gyenge and Szendroi.