Work

A Nakayama result for the quantum K theory of homogeneous spaces

Year: 2025

Type: article

Abstract: 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: Épijournal de Géométrie Algébrique

DOI: 10.46298/epiga.2025.17016

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

Institution: Zhejiang University

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: National Science Foundation, National Natural Science Foundation of China

Awards: String Compactifications: From Geometry to Effective Field Theory, String Compactifications: From Geometry To Effective Field Theory, Collaborative Research: Calculus beyond Schubert