The Homotopy Type of hyperbolic Monopole Orbit Spaces
arXiv:math/9901087
Abstract
We prove that the space of gauge equivalence classes of U(1)-invariant connections on some SU(2)-principle bundles over the 4-sphere S^4 is weakly homotopy equivalent to a component of the second loop space of the 2-sphere S^2.
8 pages, AMS-Tex, to appear in Proceedings of the AMS