Modules over the small quantum group and semi-infinite flag manifold

S Arkhipov
R Bezrukavnikov
A Braverman
D Gaitsgory
I Mirkovic, University of Massachusetts - Amherst

Article comments

This is the pre-published version harvested from ArXiv. The published version is located at http://www.springerlink.com/content/6kt25115084248t0/

Abstract

We develop a theory of perverse sheaves on the semi-infinite flag manifold G((t))/N((t)) · T[[t]], and show that the subcategory of Iwahori-monodromy perverse sheaves is equivalent to the regular block of the category of representations of the small quantum group at an even root of unity.