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Permutation-equivariant quantum K-theory IX. Quantum Hirzebruch-Riemann-Roch in all genera

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arxiv 1709.03180 v1 pith:YEVZOQUU submitted 2017-09-10 math.AG

Alexander Givental This is my paper · ORCID
classification math.AG
keywords quantumk-theorypermutation-equivariantadelicanalogueapplicationcharacterizationcohomological
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We introduce the most general to date version of the permutation-equivariant quantum K-theory, and express its total descendant potential in terms of cohomological Gromov-Witten invariants. This is the higher-genus analogue of adelic characterization from the paper [7] by Givental-Tonita, and is based on the application of Kawasaki's Riemann-Roch formula to moduli spaces of stable maps.

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  1. Quantum K-theory levels in physics and math

    hep-th 2025-06 conditional novelty 6.0 of 10

    Chern-Simons levels and Ruan-Zhang levels are identified as the same twisting of quantum K-theory, with Coulomb branch equations matching difference operator symbols and geometric windows matching mirror triviality.

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