Toward quantum Pieri rule for $F\ell_n$ via Seidel representation
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866908452990746624 |
|---|---|
| author | Li, Changzheng Song, Jiayu |
| author_facet | Li, Changzheng Song, Jiayu |
| contents | By using a ``quantum-to-classical" reduction formula on the Gromov-Witten invariants of flag vaireities $F\ell_n$, we provide a new proof of the Seidel operator on the quantum cohomology ring $QH^*(F\ell_n)$. Further, we reprove a quantum Pieri rule with respect to certain special Schubert class for $QH^*(F\ell_n)$. Finally, we propose a concrete conjecture on the corresponding quantum Pieri rule for the quantum $K$-theory of $F\ell_n$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_12351 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Toward quantum Pieri rule for $F\ell_n$ via Seidel representation Li, Changzheng Song, Jiayu Algebraic Geometry By using a ``quantum-to-classical" reduction formula on the Gromov-Witten invariants of flag vaireities $F\ell_n$, we provide a new proof of the Seidel operator on the quantum cohomology ring $QH^*(F\ell_n)$. Further, we reprove a quantum Pieri rule with respect to certain special Schubert class for $QH^*(F\ell_n)$. Finally, we propose a concrete conjecture on the corresponding quantum Pieri rule for the quantum $K$-theory of $F\ell_n$. |
| title | Toward quantum Pieri rule for $F\ell_n$ via Seidel representation |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2507.12351 |