2025/07/21 by Wei Gu, Leonardo C. Mihalcea, Eric Sharpe +3 · 3 citations
Mathematics · #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Homogeneous #Homotopy and Cohomology in Algebraic Topology #Ideal (ethics) #Quantum #Quantum algorithm #Quantum operation #Quantum system #Ring (chemistry) #Set (abstract data type) #Space (punctuation) #math.AG #math.CO #msc:05E05 #msc:14M15 #msc:14N35 #msc:81T60
paper · pdf · doi:10.46298/epiga.2025.17016
published in Épijournal de Géométrie Algébrique Volume 9 (Épisciences.org) · final version published in EPIGA
openalex created_date 2025/10/10 · arxiv created 2025/12/11 · openalex publication_date 2025/12/12 · openalex updated_date 2026/08/01 · arxiv updated 2026/08/05
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