Communications in Analysis and Geometry

Volume 30 (2022)

Number 7

Rectifiability and Minkowski bounds for the zero loci of $\mathbb{Z}/2$ harmonic spinors in dimension $4$

Pages: 1633 – 1681

DOI: https://dx.doi.org/10.4310/CAG.2022.v30.n7.a6

Author

Boyu Zhang (University of Maryland, College Park, Md., U.S.A.)

Abstract

This article proves that the zero locus of a $\mathbb{Z}/2$ harmonic spinor on a $4$-dimensional manifold is $2$-rectifiable and has locally finite Minkowski content.

The full text of this article is unavailable through your IP address: 172.17.0.1

Received 28 August 2018

Accepted 12 January 2020

Published 25 May 2023