Quantcast

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

Research paper by S. Arkhipov, R. Bezrukavnikov, A. Braverman, D. Gaitsgory, I. Mirkovic

Indexed on: 01 Dec '05Published on: 01 Dec '05Published in: Transformation Groups



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.