On Seidel representation in quantum K-theory of Grassmannians
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866916496860512256 |
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| author | Li, Changzheng Liu, Zhaoyang Song, Jiayu Yang, Mingzhi |
| author_facet | Li, Changzheng Liu, Zhaoyang Song, Jiayu Yang, Mingzhi |
| contents | 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)). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_16902 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On Seidel representation in quantum K-theory of Grassmannians Li, Changzheng Liu, Zhaoyang Song, Jiayu Yang, Mingzhi Algebraic Geometry Combinatorics 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)). |
| title | On Seidel representation in quantum K-theory of Grassmannians |
| topic | Algebraic Geometry Combinatorics |
| url | https://arxiv.org/abs/2211.16902 |