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- W3036722313 abstract "Abstract We show that the product in the quantum K-ring of a generalized flag manifold $G/P$ involves only finitely many powers of the Novikov variables. In contrast to previous approaches to this finiteness question, we exploit the finite difference module structure of quantum K-theory. At the core of the proof is a bound on the asymptotic growth of the $J$-function, which in turn comes from an analysis of the singularities of the zastava spaces studied in geometric representation theory. An appendix by H. Iritani establishes the equivalence between finiteness and a quadratic growth condition on certain shift operators." @default.
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- W3036722313 date "2020-06-17" @default.
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- W3036722313 title "On the Finiteness of Quantum K-Theory of a Homogeneous Space" @default.
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- W3036722313 doi "https://doi.org/10.1093/imrn/rnaa108" @default.
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