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Homogeneous $\mathbb Z/2$-Harmonic Forms and Spinors on $\R^4$ from Regular 4-Polytopes

Published 22 Apr 2026 in math.DG and math.AP | (2604.20840v1)

Abstract: We describe novel local singularity models for $\mathbb Z/2$ harmonic 1-forms, self-dual 2-forms and spinors in dimension 4. These models are homogeneous versions on $\R4$ whose singular sets are cones on the 1-skeletal of certain regular 4-dimensional polytopes.

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