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VOL. 58 | 2010 An action of a Lie algebra on the homology groups of moduli spaces of stable sheaves

Abstract

We construct an action of a Lie algebra on the homology groups of moduli spaces of stable sheaves on $K3$ surfaces under some technical conditions. This is a generalization of Nakajima's construction of $\mathfrak{sl}_2$-action on the homology groups [N6]. In particular, for an $A$, $D$, $E$-type configulation of $(-2)$-curves, we shall give a collection of moduli spaces such that the associated Lie algebra acts on their homology groups.

Information

Published: 1 January 2010
First available in Project Euclid: 24 November 2018

zbMATH: 1219.14013
MathSciNet: MR2676164

Digital Object Identifier: 10.2969/aspm/05810403

Subjects:
Primary: 14D20

Rights: Copyright © 2010 Mathematical Society of Japan

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