On one-leg orbifold topological vertex in refined Gromov-Witten theory
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.
Fields of Study & Subjects
Algebraic Geometry and Number Theory
Homotopy and Cohomology in Algebraic Topology
Geometry and complex manifolds
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 24 January 2026
- Document type
- Preprint