Abstract
For a connection on a principalSU(2) bundle over a base space with a codimension two singular set, a limit holonomy condition is stated. In dimension four, finite action implies that the condition is satisfied and an a priori estimate holds which classifies the singularity in terms of holonomy. If there is no holonomy, then a codimension two removable singularity theorem is obtained.
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Communicated by A. Jaffe
Research partially supported by NSF Grant DMS-8701813
Research partially supported by NSF Grant INT-8511481
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Sibner, L.M., Sibner, R.J. Classification of singular Sobolev connections by their holonomy. Commun.Math. Phys. 144, 337–350 (1992). https://doi.org/10.1007/BF02101096
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DOI: https://doi.org/10.1007/BF02101096