|
Wei Gu ; Leonardo C. Mihalcea ; Eric Sharpe ; Weihong Xu ; Hao Zhang ; Hao Zou - 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.2025.17016A Nakayama result for the quantum K theory of homogeneous spacesArticle
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
Source: arXiv.org:2507.15183
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
Funding:
- Source : OpenAIRE Graph
- String Compactifications: From Geometry to Effective Field Theory; Funder: National Science Foundation; Code: 2310588
- Collaborative Research: Calculus beyond Schubert; Funder: National Science Foundation; Code: 2152294
- String Compactifications: From Geometry To Effective Field Theory; Funder: National Science Foundation; Code: 1720321
Classifications
Mathematics Subject Classification 20201
Consultation statistics
This page has been seen 530 times.
This article's PDF has been downloaded 295 times.