English

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

dg-ga 2007-05-23 v1 alg-geom High Energy Physics - Theory Algebraic Geometry Differential Geometry

Abstract

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.

Keywords

Cite

@article{arxiv.dg-ga/9710012,
  title  = {Uhlenbeck compactness and transversality for the moduli space of PU(2) monopoles},
  author = {Paul M. N. Feehan and Thomas G. Leness},
  journal= {arXiv preprint arXiv:dg-ga/9710012},
  year   = {2007}
}

Comments

LaTeX 2e, 15 pages