A Nakayama result for the quantum K theory of homogeneous spaces
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
Authors
- Eric Sharpe (ORCID: https://orcid.org/0000-0002-9355-5720)
- Hao Zhang (ORCID: https://orcid.org/0000-0003-1734-6051)
- Wei Gu (ORCID: https://orcid.org/0000-0001-6104-6350)
- Leonardo C. Mihalcea (ORCID: https://orcid.org/0000-0002-8437-9163)
- Weihong Xu (ORCID: https://orcid.org/0000-0003-0990-5327)
- Hao Zou
Institutions
- California Institute of Technology (US)
- Fudan University (CN)
- Shanghai Institute for Science of Science (CN)
- Zhejiang Institute of Mechanical and Electrical Engineering (CN)
- Virginia Tech (US)
Publication Details
- Journal
- Épijournal de Géométrie Algébrique
- Published
- 2025-12-12
- DOI
- https://doi.org/10.46298/epiga.2025.17016
- Primary Topic
- Advanced Combinatorial Mathematics
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Science Foundation
- National Natural Science Foundation of China