Affine Laumon spaces and a conjecture of Kuznetsov

2018/11/02 by Neguţ, Andrei · 2 citations
#Algebraic Geometry (math.AG) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1811.01011

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 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^^)

Cited by

• Relative Quasimaps and Tilting Module of U(\mathfrakgl_n)
• Shuffle algebras, lattice paths and quantum toroidal \mathfrakgl_n|m

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