Unramified Gromov-Witten and Gopakumar-Vafa invariants

Journal of the American Mathematical Society 2026 Open access

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Authors: Denis Nesterov
DOI: 10.1090/jams/1088
Cited by: 0

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.

Fields of Study & Subjects

Advanced Algebra and Geometry Geometric and Algebraic Topology

Publication details

Journal / source
Journal of the American Mathematical Society
Publication date
15 August 2026
Language
EN