Unramified Gromov-Witten and Gopakumar-Vafa invariants
Algebraic Geometry
2025-01-22 v2 Mathematical Physics
math.MP
Symplectic Geometry
Abstract
Kim, Kresch and Oh defined unramified Gromov-Witten invariants. For a threefold, Pandharipande conjectured that they are equal to Gopakumar-Vafa invariants (BPS invariants) in the case of Fano classes and primitive Calabi-Yau classes. We prove the conjecture using a wall-crossing technique. This provides an algebro-geometric construction of Gopakumar-Vafa invariants in these cases.
Keywords
Cite
@article{arxiv.2405.18398,
title = {Unramified Gromov-Witten and Gopakumar-Vafa invariants},
author = {Denis Nesterov},
journal= {arXiv preprint arXiv:2405.18398},
year = {2025}
}
Comments
Some minor changes, more details are added, 67 pages, 3 figures