Uhlenbeck compactness and transversality for the moduli space of PU(2) monopoles

Details Uhlenbeck compactness and transversality for the moduli space of PU(2) monopoles Uhlenbeck compactness and transversality for the moduli space of PU(2) monopoles

1997-10-12

arxiv.org/abs/dg-ga/9710012v1

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX 2e, 15 pages

Scientific paper

This research announcement gives a brief report of the main results in our paper "PU(2) monopoles, I: Regularity, Uhlenbeck compactness, and transversality" (Journal of Differential Geometry, to appear). We describe the existence of perturbations for the PU(2) monopole equations, yielding both useful transversality properties and an Uhlenbeck compactification for this perturbed moduli space.

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