Mirror symmetry and open/closed correspondence for the projective line
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866910080582025216 |
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| author | Yu, Jinghao Zong, Zhengyu |
| author_facet | Yu, Jinghao Zong, Zhengyu |
| contents | We study the open/closed correspondence for the projective line via mirror symmetry. More explicitly, we establish a correspondence between the generating function of disk Gromov-Witten invariants of the complex projective line $\mathbb{P}^1$ with boundary condition specified by an $S^1$-invariant Lagrangian sub-manifold $L$ and the asymptotic expansion of the $I$-function of a toric surface $\mathcal{S}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_24727 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Mirror symmetry and open/closed correspondence for the projective line Yu, Jinghao Zong, Zhengyu Algebraic Geometry 14N35, 53D45, 14J33 We study the open/closed correspondence for the projective line via mirror symmetry. More explicitly, we establish a correspondence between the generating function of disk Gromov-Witten invariants of the complex projective line $\mathbb{P}^1$ with boundary condition specified by an $S^1$-invariant Lagrangian sub-manifold $L$ and the asymptotic expansion of the $I$-function of a toric surface $\mathcal{S}$. |
| title | Mirror symmetry and open/closed correspondence for the projective line |
| topic | Algebraic Geometry 14N35, 53D45, 14J33 |
| url | https://arxiv.org/abs/2509.24727 |