English

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

Differential Geometry 2018-02-21 v2 Analysis of PDEs Geometric Topology

Abstract

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

Keywords

Cite

@article{arxiv.1712.06254,
  title  = {Rectifiability and Minkowski bounds for the zero loci of $\mathbb{Z}/2$ harmonic spinors in dimension 4},
  author = {Boyu Zhang},
  journal= {arXiv preprint arXiv:1712.06254},
  year   = {2018}
}

Comments

34 pages, corrected typos and inaccuracies in referencing