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arXiv · 0905.4394

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

Pierre-Emmanuel Chaput·Nicolas Perrin
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Abstract

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.

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Pierre-Emmanuel Chaput, Nicolas Perrin. 2009-05-27. Rationality of some Gromov-Witten varieties and application to quantum K-theory. https://arxiv.org/abs/0905.4394

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