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arXiv · 1804.03645

Hecke correspondences for smooth moduli spaces of sheaves

Andrei Neguţ
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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.

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Andrei Neguţ. 2018-04-10. Hecke correspondences for smooth moduli spaces of sheaves. https://arxiv.org/abs/1804.03645

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