3 papers
math.DG2026
Homogeneous -Harmonic Forms and Spinors on from Regular 4-Polytopes
Clifford Taubes, Yingying Wu
We describe novel local singularity models for harmonic 1-forms, self-dual 2-forms and spinors in dimension 4. These models are homogeneous versions on …
math.DG2024
Non-convergent sequences of solutions to the massive Vafa-Witten equations with 'interesting' self-dual harmonic 2-form limits
Clifford Henry Taubes
This paper constructs sequences of solutions to the Vafa-Witten equations with non-zero (but small) mass term on the product of a 2-dimensional torus with a Riemann surface of genu…
math.DG2024
Spectral flow calculations for reducible solutions to the massive Vafa-Witten equations
Clifford Henry Taubes
The Vafa-Witten equations (with or without a mass term) constitute a non-linear, first order system of differential equations on a given oriented, compact, Riemannian 4-manifold. B…