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The Homotopy Type of hyperbolic Monopole Orbit Spaces

Ursula Gritsch

math.ATarXiv: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 S4 is weakly homotopy equivalent to a component of the second loop space of the 2-sphere S2.

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