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arXiv · 2601.17321

On one-leg orbifold topological vertex in refined Gromov-Witten theory

Jinghao Yu·Zhengyu Zong
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Abstract

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.

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Jinghao Yu, Zhengyu Zong. 2026-01-24. On one-leg orbifold topological vertex in refined Gromov-Witten theory. https://arxiv.org/abs/2601.17321

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