Hecke correspondences for smooth moduli spaces of sheaves
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10240_2022_Article_131.pdf
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1.27 MB
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Author(s)
Neguţ, Andrei
Date Issued
May 2022
Journal
Publications mathématiques de l'IHÉS
Publisher
Springer Science and Business Media LLC
Citation
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1007/s10240-022-00131-1
