Wei Gu ; Leonardo C. Mihalcea ; Eric Sharpe ; Weihong Xu ; Hao Zhang et al. - A Nakayama result for the quantum K theory of homogeneous spaces

epiga:17016 - Épijournal de Géométrie Algébrique, December 12, 2025, Volume 9 - https://doi.org/10.46298/epiga.2025.17016
A Nakayama result for the quantum K theory of homogeneous spacesArticle

Authors: Wei Gu ; Leonardo C. Mihalcea ; Eric Sharpe ; Weihong Xu ; Hao Zhang ; Hao Zou

    We prove that the ideal of relations in the (equivariant) quantum K ring of a homogeneous space is generated by quantizations of each of the generators of the ideal in the classical (equivariant) K ring. This extends to quantum K theory a result of Siebert and Tian in quantum cohomology. We illustrate this technique in the case of the quantum K ring of partial flag manifolds, using a set of quantum K Whitney relations conjectured by the authors, and recently proved by Huq-Kuruvilla.

    final version published in EPIGA


    Volume: Volume 9
    Published on: December 12, 2025
    Accepted on: December 2, 2025
    Submitted on: December 2, 2025
    Keywords: Algebraic Geometry, Combinatorics, Primary 14M15, 14N35, Secondary 81T60, 05E05

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