The Homotopy Type of hyperbolic Monopole Orbit Spaces

1999/01/21 by Ursula Gritsch, Gritsch, Ursula
Engineering · Mathematics · Medicine · Physics and Astronomy · #55P91 #58B05 #Advanced Differential Geometry Research #Algebraic Topology (math.AT) #Differential Geometry (math.DG) #FOS: Mathematics #Soft tissue tumor case studies #Structural Analysis and Optimization #math.AT #math.DG #msc:55P91 #msc:58B05

paper · pdf · doi:10.48550/arxiv.math/9901087

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

arxiv created 1999/01/21 · openalex publication_date 1999/01/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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