The Homotopy Type of hyperbolic Monopole Orbit Spaces

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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

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Algebraic Topology, Differential Geometry, 58B05, 55P91

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http://salesiana.dossiersoluciones.com/handle/123456789/77979

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9901087
 http://arxiv.org/abs/math/9901087

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arXiv