On one-leg orbifold topological vertex in refined Gromov-Witten theory
Jinghao Yu, Zhengyu Zong
TL;DR
This paper introduces a new one-leg orbifold topological vertex in refined Gromov-Witten theory, computes the effective case, and applies it to calculate invariants of the local football, extending previous work on refined vertices.
Contribution
It defines the orbifold topological vertex in refined Gromov-Witten theory and computes the effective case, connecting it with known results and applications.
Findings
Effective case matches previous refined vertex results
Computed refined Gromov-Witten invariants of the local football
Extended the refined topological vertex framework to orbifolds
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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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Topological and Geometric Data Analysis