On Seidel representation in quantum K-theory of Grassmannians
Algebraic Geometry
2024-11-28 v2 Combinatorics
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)).
Keywords
Cite
@article{arxiv.2211.16902,
title = {On Seidel representation in quantum K-theory of Grassmannians},
author = {Changzheng Li and Zhaoyang Liu and Jiayu Song and Mingzhi Yang},
journal= {arXiv preprint arXiv:2211.16902},
year = {2024}
}
Comments
1 figure. 30 pages. To appear in SCIENCE CHINA Mathematics