On one-leg orbifold topological vertex in refined Gromov-Witten theory
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866911396199923712 |
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| author | Yu, Jinghao Zong, Zhengyu |
| author_facet | Yu, Jinghao Zong, Zhengyu |
| contents | We define the one-leg orbifold topological vertex in refined Gromov-Witten theory \cite{BS24}. There are two cases where the leg is effective or gerby. The main result of this paper is the computation of the effective case. In the smooth case, this result matches the one-leg refined vertex in \cite{IKV09}. As an application, we compute the refined Gromov-Witten invariants of the local football. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_17321 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On one-leg orbifold topological vertex in refined Gromov-Witten theory Yu, Jinghao Zong, Zhengyu Algebraic Geometry Mathematical Physics We define the one-leg orbifold topological vertex in refined Gromov-Witten theory \cite{BS24}. There are two cases where the leg is effective or gerby. The main result of this paper is the computation of the effective case. In the smooth case, this result matches the one-leg refined vertex in \cite{IKV09}. As an application, we compute the refined Gromov-Witten invariants of the local football. |
| title | On one-leg orbifold topological vertex in refined Gromov-Witten theory |
| topic | Algebraic Geometry Mathematical Physics |
| url | https://arxiv.org/abs/2601.17321 |