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

Published 24 Jul 2013 in math.DG and math.GT | (1307.6447v5)

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.

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