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

By Clifford H. Taubes. 2013

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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.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Control and Systems Engineering

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