Rational connectedness implies finiteness of quantum K-theory
Algebraic Geometry
2013-05-27 v1
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.
Keywords
Cite
@article{arxiv.1305.5722,
title = {Rational connectedness implies finiteness of quantum K-theory},
author = {Anders S. Buch and Pierre-Emmanuel Chaput and Leonardo C. Mihalcea and Nicolas Perrin},
journal= {arXiv preprint arXiv:1305.5722},
year = {2013}
}
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6 pages