Homogeneous $\mathbb Z/2$-Harmonic Forms and Spinors on $\mathbb{R}^4$ from Regular 4-Polytopes
Differential Geometry
2026-04-23 v1 Analysis of PDEs
Abstract
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 whose singular sets are cones on the 1-skeletal of certain regular 4-dimensional polytopes.
Keywords
Cite
@article{arxiv.2604.20840,
title = {Homogeneous $\mathbb Z/2$-Harmonic Forms and Spinors on $\mathbb{R}^4$ from Regular 4-Polytopes},
author = {Clifford Taubes and Yingying Wu},
journal= {arXiv preprint arXiv:2604.20840},
year = {2026}
}