The Homotopy Type of hyperbolic Monopole Orbit Spaces

Details The Homotopy Type of hyperbolic Monopole Orbit Spaces The Homotopy Type of hyperbolic Monopole Orbit Spaces

1999-01-21

arxiv.org/abs/math/9901087v1

Mathematics

Algebraic Topology

8 pages, AMS-Tex, to appear in Proceedings of the AMS

Scientific paper

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.

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