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Affine Laumon spaces and a conjecture of Kuznetsov

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arxiv 1811.01011 v2 pith:TNRYP34H submitted 2018-11-02 math.AG math.RT

Andrei Neguţ This is my paper · ORCID
classification math.AGmath.RT
keywords affinealgebraconjecturek-theorykuznetsovlaumonquantumspaces
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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 U_q(gl_n^). We do so by reinterpreting the action of the quantum toroidal algebra U_q(gl_n^^) on the K-theory from [14] in terms of the shuffle algebra studied in [12], which constructs an embedding of U_q(gl_n^) into U_q(gl_n^^)

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  1. Classical elliptic integrable systems from the moduli space of instantons

    math-ph 2024-12 conditional novelty 4.0 of 10

    A review that derives Krichever's elliptic Calogero-Moser Lax matrix from qq-characters of instanton moduli spaces, with K-theoretic and elliptic counterparts, plus Lax eigenvectors from folded instantons.

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