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The Homotopy Type of hyperbolic Monopole Orbit Spaces

Ursula Gritsch
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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.

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BibTeXRIS

Ursula Gritsch. 1999-01-21. The Homotopy Type of hyperbolic Monopole Orbit Spaces. https://arxiv.org/abs/math/9901087

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