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math.SG2026★ 8 cited
Counting embedded curves in symplectic 6-manifolds
Aleksander Doan, Thomas Walpuski
Based on computations of Pandharipande, Zinger proved that the Gopakumar-Vafa BPS invariants for primitive Calabi-Yau classes and arbitrary Fano classes…
math.SG2025★ 6 cited
The Gopakumar-Vafa finiteness conjecture
Aleksander Doan, Eleny-Nicoleta Ionel, Thomas Walpuski
The Gopakumar-Vafa conjecture predicts that the BPS invariants of a symplectic 6-manifold, defined in terms of the Gromov-Witten invariants, are integers and all but finitely many…