Affine Laumon spaces and a conjecture of Kuznetsov
Algebraic Geometry
2020-08-25 v2 Representation Theory
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^^)
Keywords
Cite
@article{arxiv.1811.01011,
title = {Affine Laumon spaces and a conjecture of Kuznetsov},
author = {Andrei Neguţ},
journal= {arXiv preprint arXiv:1811.01011},
year = {2020}
}
Comments
This paper started by breaking up arXiv:1302.6202 into two parts, one geometric and one representation theoretic. The present paper consists of the geometric half, to which we added a number of additional results