Rationality of some Gromov-Witten varieties and application to quantum K-theory

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dc.creatorChaput, Pierre-Emmanuel
dc.creatorPerrin, Nicolas
dc.date2009-05-27
dc.date.accessioned2026-07-07T13:18:34Z
dc.date.available2026-07-07T13:18:34Z
dc.descriptionWe show that for any minuscule or cominuscule homogeneous space X, the Gromov-Witten varieties of degree d curves passing through three general points of X are rational or empty for any d. Applying techniques of A. Buch and L. Mihalcea to constructions of the authors together with L. Manivel, we deduce that the equivariant K-theoretic three points Gromov-Witten invariants are equal to classical equivariant K-theoretic invariants on auxilliary spaces.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/0905.4394
dc.identifierhttp://arxiv.org/abs/0905.4394
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/231467
dc.subjectAlgebraic Geometry
dc.subjectRepresentation Theory
dc.subject14M15, 14N35
dc.titleRationality of some Gromov-Witten varieties and application to quantum K-theory
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