Abelianization for hyperkahler quotients

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dc.creatorHausel, Tamas
dc.creatorProudfoot, Nicholas
dc.date2003-10-09
dc.date.accessioned2026-07-07T05:01:46Z
dc.date.available2026-07-07T05:01:46Z
dc.descriptionWe study an integration theory in circle equivariant cohomology in order to prove a theorem relating the cohomology ring of a hyperkahler quotient to the cohomology ring of the quotient by a maximal abelian subgroup, analogous to a theorem of Martin for symplectic quotients. We discuss applications of this theorem to quiver varieties, and compute as an example the ordinary and equivariant cohomology rings of a hyperpolygon space.
dc.description18 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0310141
dc.identifierhttp://arxiv.org/abs/math/0310141
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68803
dc.subjectSymplectic Geometry
dc.subjectAlgebraic Geometry
dc.subjectDifferential Geometry
dc.subject53D20; 53C26
dc.titleAbelianization for hyperkahler quotients
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