Shuffle algebras associated to surfaces
Algebraic Geometry
2021-12-13 v5 Representation Theory
Abstract
We consider the algebra of Hecke correspondences (elementary transformations at a single point) acting on the algebraic K-theory groups of the moduli spaces of stable sheaves on a smooth projective surface S. We derive quadratic relations between the Hecke correspondences, and compare the algebra they generate with the Ding-Iohara-Miki algebra (at a suitable specialization of parameters), as well as with a generalized shuffle algebra.
Cite
@article{arxiv.1703.02027,
title = {Shuffle algebras associated to surfaces},
author = {Andrei Neguţ},
journal= {arXiv preprint arXiv:1703.02027},
year = {2021}
}