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

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We 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.
19 pages

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Algebraic Geometry, Representation Theory, 14M15, 14N35

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http://salesiana.dossiersoluciones.com/handle/123456789/231467

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0905.4394
 http://arxiv.org/abs/0905.4394

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arXiv