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arXiv · 2211.16902

On Seidel representation in quantum K-theory of Grassmannians

Changzheng Li·Zhaoyang Liu·Jiayu Song·Mingzhi Yang
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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)).

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Changzheng Li, Zhaoyang Liu, Jiayu Song, Mingzhi Yang. 2022-11-30. On Seidel representation in quantum K-theory of Grassmannians. https://arxiv.org/abs/2211.16902

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