Hecke correspondences for smooth moduli spaces of sheaves
Algebraic Geometry
2022-01-25 v2 Quantum Algebra
Abstract
We define functors on the derived category of the moduli space M of stable sheaves on a smooth projective surface (under Assumptions A and S below), and prove that these functors satisfy certain relations. These relations allow us to prove that the given functors induce an action of the elliptic Hall algebra on the K-theory of the moduli space M, thus generalizing the action studied by Nakajima, Grojnowski and Baranovsky in cohomology.
Keywords
Cite
@article{arxiv.1804.03645,
title = {Hecke correspondences for smooth moduli spaces of sheaves},
author = {Andrei Neguţ},
journal= {arXiv preprint arXiv:1804.03645},
year = {2022}
}