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arXiv · 2405.18398

Unramified Gromov-Witten and Gopakumar-Vafa invariants

Denis Nesterov
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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.

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Denis Nesterov. 2024-05-28. Unramified Gromov-Witten and Gopakumar-Vafa invariants. https://arxiv.org/abs/2405.18398

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