Etingof conjecture for quantized quiver varieties II: affine quivers

Abstract

We study the representation theory of quantizations of Gieseker moduli spaces. Namely, we prove the localization theorems for these algebras, describe their finite dimensional representations and two-sided ideals as well as their categories O in some special cases. We apply this to prove our conjecture with Bezrukavnikov on the number of finite dimensional irreducible representations of quantized quiver varieties for quivers of affine type.

This preprint is superseded by arXiv:1502.00595, arXiv:1604.06678, arXiv:1611.08470