English

Compactness theorems for SL(2;C) generalizations of the 4-dimensional anti-self dual equations, Part II

Differential Geometry 2014-07-24 v3 Geometric Topology

Abstract

This is the second of two papers that describe a compactness theorem for sequences of solutions of certain SL(2;C) analogs of the anti-self dual equations on oriented, 4-dimensional Riemannian manifolds. This paper proves theorems that characterize the singular locus of limits of sequences of solutions to the equations.

Keywords

Cite

@article{arxiv.1307.6451,
  title  = {Compactness theorems for SL(2;C) generalizations of the 4-dimensional anti-self dual equations, Part II},
  author = {Clifford Henry Taubes},
  journal= {arXiv preprint arXiv:1307.6451},
  year   = {2014}
}

Comments

This paper is withdrawn because the results for the most part follow as a special case of the theorems in a new arXiv submission titled 'Z/2 harmonic spinors in dimensions 2, 3 and 4'. See also the new posting for Part 1 of this series, arXiv:1307.6447