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arXiv · 1307.6447

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

Clifford Henry Taubes
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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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Clifford Henry Taubes. 2013-07-24. Compactness theorems for SL(2;C) generalizations of the 4-dimensional anti-self dual equations. https://arxiv.org/abs/1307.6447

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