3 papers
math.SG2026
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
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…
math.DG2025
Chambered invariants of real Cauchy-Riemann operators
Aleksander Doan, Thomas Walpuski
Motivated by counting pseudo-holomorphic curves in symplectic Calabi-Yau -folds, this article studies a chamber structure in the space of real Cauchy-Riemann operators on a Riem…