The reviewed record of science sign in
Pith

arxiv: 2211.16902 · v2 · pith:5ISW6ZI7 · submitted 2022-11-30 · math.AG · math.CO

On Seidel representation in quantum K-theory of Grassmannians

Changzheng Li , Zhaoyang Liu , Jiayu Song , Mingzhi Yang This is my paper

Reviewed by Pith T0 review T1 audit T2 compute T3 formal T4 kernel pith:5ISW6ZI7record.jsonopen to challenge →

classification math.AG math.CO
keywords quantumk-theorylittlewood-richardsonproofrepresentationruleseidelalternative
0
0 comments X
read the original abstract

We provide a direct proof of Seidel representation in the quantum K-theory QK(Gr(k, n)) by studying projected Gromov-Witten varieties concretely. As applications, we give an alternative proof of the K-theoretic quantum Pieri rule by Buch and Mihalcea, reduce certain quantum Schubert structure constants of higher degree to classical Littlewood-Richardson coefficients for K(Gr(k, n)), and provide a quantum Littlewood-Richardson rule for QK(Gr(3, n)).

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Seidel and Pieri products in cominuscule quantum K-theory

    math.AG 2023-08 unverdicted novelty 7.0

    Proves Seidel and Pieri product formulas for Schubert classes in quantum K-theory of cominuscule flag varieties, expressed via quantum shapes.