PSL(2;C) connections on 3-manifolds with L2 bounds on curvature

2012/05/02 by Clifford Henry Taubes, Taubes, Clifford Henry · 7 citations
Mathematics · #53C05 #Advanced Operator Algebra Research #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1205.0514

openalex publication_date 2012/05/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Karen Uhlenbeck's compactness theorem for sequences of connections with L2 bounds on curvature applies only to connections on principal bundles with compact structure group. This article states and proves an extension of Uhlenbecks theorem that describes sequences of connections on principal PSL(2;C) bundles over compact three dimensional manifolds.

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