144 citations · 836 across the 46 of their papers we have counts for
47 papers
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 …
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…
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…
Topological aspects of eigenfunctions for the Laplacian on
Clifford Henry Taubes, Yingying Wu
This paper concerns the behavior of the eigenfunctions and eigenvalues of the round sphere's Laplacian acting on the space of sections of a real line bundle which is defined on the…
The existence of instanton solutions to the -invariant Kapustin-Witten equations on
Clifford Henry Taubes
A non-negative integer labeled set of model solutions to the -invariant Kapustin-Witten equations on plays a central ro…
Lectures on the linearized Kapustin-Witten equations on Y
Clifford Henry Taubes
This is a written version of lectures that I would have given myself about aspects of the differential operator that is obtained from the linearized Kapustin-Witten equations on th…