Quiver varieties and Beilinson-Drinfeld Grassmannians of type A

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dc.creatorMirković, Ivan
dc.creatorVybornov, Maxim
dc.date2007-12-26
dc.date2008-12-30
dc.date.accessioned2026-07-07T12:22:18Z
dc.date.available2026-07-07T12:22:18Z
dc.descriptionWe construct Nakajima's quiver varieties of type A in terms of conjugacy classes of matrices and (non-Slodowy's) transverse slices naturally arising from affine Grassmannians. In full generality quiver varieties are embedded into Beilinson-Drinfeld Grassmannians of type A. Our construction provides a compactification of Nakajima's quiver varieties and a decomposition of an affine Grassmannian into a disjoint union of quiver varieties. As an application we provide a geometric version of skew and symmetric $(GL(m), GL(n))$ duality.
dc.description36 pages. Minor errors corrected on page 12, references added
dc.identifierhttps://arxiv.org/abs/0712.4160
dc.identifierhttp://arxiv.org/abs/0712.4160
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/213606
dc.subjectAlgebraic Geometry
dc.subjectRepresentation Theory
dc.titleQuiver varieties and Beilinson-Drinfeld Grassmannians of type A
dc.typetext

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