Compactness theorems for SL(2;C) generalizations of the 4-dimensional anti-self dual equations
arXiv:1307.6447
Abstract
Uhlenbeck's compactness theorem can be used to analyze sequences of connections with anti-self dual curvature on principal SU(2) bundles over oriented 4-dimensional manifolds. The theorems in this paper give an extension of Uhlenbeck's theorem for sequences of solutions of certain SL(2,C) analogs of the anti-self dual equations.
The statements of the theorems in the second version about the detailed structure of the singular set are modified to account for an error found by Thomas Walpuski. Typos corrected in this newer version
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