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

2013/07/24 by Taubes, Clifford Henry · 2 citations
#53C07 #57R57 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/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.

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