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

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

Indexed on: 12 May '05Published on: 12 May '05Published in: Mathematics - Algebraic Geometry

#### Abstract

We develop a theory of perverse sheaves on the semi-infinite flag manifold $G((t))/N((t))\cdot T[[t]]$, 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.