WDVV-based recursion for open Gromov-Witten invariants
Symplectic Geometry
2026-01-14 v4 High Energy Physics - Theory
Algebraic Geometry
Abstract
We give a computability result for open Gromov-Witten invariants based on open WDVV equations. This is analogous to the result of Kontsevich-Manin for closed Gromov-Witten invariants. For greater generality, we base the argument on a formal object, the Frobenius superpotential, that generalizes several different definitions of open Gromov-Witten invariants. As an application, we prove vanishing properties for open Gromov-Witten invariants on products of projective spaces.
Keywords
Cite
@article{arxiv.2402.10542,
title = {WDVV-based recursion for open Gromov-Witten invariants},
author = {Roi Blumberg and Sara B. Tukachinsky},
journal= {arXiv preprint arXiv:2402.10542},
year = {2026}
}
Comments
48 pages; minor corrections, minor modifications in Section 4; to appear in the Journal of Topology