Intersections numbers on the compact variety of rational ruled surfaces

dc.creatorRamirez, Cristina Martinez
dc.date2006-04-24
dc.date2008-06-02
dc.date.accessioned2026-07-07T12:10:20Z
dc.date.available2026-07-07T12:10:20Z
dc.descriptionWe consider the Quot scheme, R_{d}, compactifying the space of degree d maps from the projective line to the Grassmannian of lines. We give an algorithm for computing the degree of R_{d} under a "generalized Plücker embedding", this is a certain Gromov-Witten invariant. The approach is to apply the Atiyah-Bott localization formula for the natural C^{*}-action on R_{d}. These numbers can be obtained directly from Vafa-Intriligator formula.
dc.description19 pages, change of title, the last conjecture has been removed, to appear in the Proceedings of the Quantum topology conference in Hanoi 2007
dc.identifierhttps://arxiv.org/abs/math/0604503
dc.identifierhttp://arxiv.org/abs/math/0604503
dc.identifierActa Mathematica Vietnamica, Vol 33/ 3, 2008, pp 529-546
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/209907
dc.subjectAlgebraic Geometry
dc.subject14N35, 14N10
dc.titleIntersections numbers on the compact variety of rational ruled surfaces
dc.typetext

Files

Collections