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Affine Laumon spaces and a conjecture of Kuznetsov

Affine Laumon spaces and a conjecture of Kuznetsov

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( ġl n ).We do so by reinterpreting the action of the quantum toroidal algebra U q,q ( gl n ) on the K-theory from …