An action of a Lie algebra on the homology groups of moduli spaces of stable sheaves

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dc.creatorYoshioka, Kota
dc.date2006-05-06
dc.date.accessioned2026-07-07T07:13:58Z
dc.date.available2026-07-07T07:13:58Z
dc.descriptionWe 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 sl_2-action on the homology groups. In particular, for an A,D,E-configulation of (-2)-curves, we shall give a collection of moduli spaces such that the associated Lie algebra acts on their homology groups.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/math/0605163
dc.identifierhttp://arxiv.org/abs/math/0605163
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112682
dc.subjectAlgebraic Geometry
dc.subject14d
dc.titleAn action of a Lie algebra on the homology groups of moduli spaces of stable sheaves
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