Affine Laumon space and contragredient dual Verma module of $U_q(\widehat{{\mathfrak{gl}}_n})$

Che Shen

We study the action of the quantum group $U_q(\widehat{{\mathfrak{gl}}_n})$ on the equivariant K-theory of affine Laumon spaces. We show that, at any highest weight away from the cri…