Dimension of monopoles on asymptotically conic 3-manifolds

@article{Kottke2013DimensionOM,
  title={Dimension of monopoles on asymptotically conic 3-manifolds},
  author={C. Kottke},
  journal={arXiv: Differential Geometry},
  year={2013}
}
  • C. Kottke
  • Published 2013
  • Mathematics
  • arXiv: Differential Geometry
The virtual dimensions of both framed and unframed SU(2) magnetic monopoles on asymptotically conic 3-manifolds are obtained by computing the index of a Fredholm extension of the associated deformation complex. The unframed dimension coincides with the one obtained by Braam for conformally compact 3-manifolds. The computation follows from the application of a Callias-type index theorem. 
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