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arXiv · 1305.5722

Rational connectedness implies finiteness of quantum K-theory

Anders S. Buch·Pierre-Emmanuel Chaput·Leonardo C. Mihalcea·Nicolas Perrin
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Abstract

Let X be any generalized flag variety with Picard group of rank one. Given a degree d, consider the Gromov-Witten variety of rational curves of degree d in X that meet three general points. We prove that, if this Gromov-Witten variety is rationally connected for all large degrees d, then the structure constants of the small quantum K-theory ring of X vanish for large degrees.

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Anders S. Buch, Pierre-Emmanuel Chaput, Leonardo C. Mihalcea, Nicolas Perrin. 2013-05-24. Rational connectedness implies finiteness of quantum K-theory. https://arxiv.org/abs/1305.5722

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