Affine Laumon spaces and a conjecture of Kuznetsov
Abstract
We prove a conjecture of Kuznetsov stating that the equivariant K-theory of affine Laumon spaces is the universal Verma module for the quantum affine algebra Uq(gln). We do so by reinterpreting the action of the quantum toroidal algebra Uq(gln^) on the K-theory from [14] in terms of the shuffle algebra studied in [12], which constructs an embedding of Uq(gln) into Uq(gln^)
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