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

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.

This paper is withdrawn because the results for the most part follow as a special case of the theorems in a new arXiv submission titled 'Z/2 harmonic spinors in dimensions 2, 3 and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