PSL(2;C) connections on 3-manifolds with L2 bounds on curvature
Differential Geometry
2015-08-05 v4 Analysis of PDEs
Geometric Topology
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.
Keywords
Cite
@article{arxiv.1205.0514,
title = {PSL(2;C) connections on 3-manifolds with L2 bounds on curvature},
author = {Clifford Henry Taubes},
journal= {arXiv preprint arXiv:1205.0514},
year = {2015}
}
Comments
This version is a substantial revision of the published version of the article in the Cambridge Journal of Mathematics. This revision fixes some ultimately inconsequential errors and one serious error found by Thomas Walpuski. (Only very minor changes from v3.)