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Neguţ, Andrei. 2022. "Hecke correspondences for smooth moduli spaces of sheaves."
Version
Final published version
Abstract
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 commutation relations. These relations allow us to prove that the given functors induce an action of the elliptic Hall algebra on the
K
$K$
-theory of the moduli space ℳ, thus generalizing the action studied by Nakajima, Grojnowski and Baranovsky in cohomology.
