Virtual intersections on the Quot-scheme and Vafa-Intriligator formulas

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dc.creatorMarian, Alina
dc.creatorOprea, Dragos
dc.date2005-05-31
dc.date2006-09-09
dc.date.accessioned2026-07-07T06:40:08Z
dc.date.available2026-07-07T06:40:08Z
dc.descriptionWe construct a virtual fundamental class on the Quot scheme parametrizing quotients of a trivial bundle on a curve. We use the virtual localization formula to calculate virtual intersection numbers on Quot. As a consequence, we reprove the Vafa-Intriligator formula; our answer is valid even when the Quot scheme is badly behaved. More intersections are computed by the same method. Finally, we present an application to the non-vanishing of the Pontrjagin ring of the moduli space of bundles.
dc.identifierhttps://arxiv.org/abs/math/0505685
dc.identifierhttp://arxiv.org/abs/math/0505685
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101321
dc.subjectAlgebraic Geometry
dc.titleVirtual intersections on the Quot-scheme and Vafa-Intriligator formulas
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