4 papers
Dirac operators twisted by ramified Euclidean line bundles
Gorapada Bera, Thomas Walpuski
This article is concerned with the analysis of Dirac operators twisted by ramified Euclidean line bundles -motivated by their relation with harmonic $\mathbf{…
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…
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…
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…