Counting embedded curves in symplectic 6-manifolds (Q6184618)

For the case of symplectic \(6\)-manifolds, the authors find a simpler proof of Zinger's result that the Gopakumar-Vafa BPS invariants of Fano classes and primitive Calabi-Yau classes agree with the signed count of embedded pseudoholomorphic curves. They also prove finiteness, i.e., vanishing in sufficiently high genus, of these invariants on these classes.