Motivic classes of Nakajima quiver varieties
arXiv:1603.03200 · doi:10.1093/imrn/rnw217
Abstract
We prove, that Hausel's formula for the number of rational points of a Nakajima quiver variety over a finite field also holds in a suitable localization of the Grothendieck ring of varieties. In order to generalize the arithmetic harmonic analysis in his proof we use Grothendieck rings with exponentials as introduced by Cluckers-Loeser and Hrushovski-Kazhdan.
13 pages