Monodromy representations of completed coverings

2014/06/25 by Martina Aaltonen, Aaltonen, Martina
Mathematics · #57M12 (30C65) #FOS: Mathematics #Geometric Topology (math.GT) #math.GT #msc:57M12

paper · pdf · doi:10.48550/arxiv.1406.6484

arxiv created 2014/06/25 · arxiv updated 2014/06/26

Abstract

In this paper we consider completed coverings that are branched coverings in the sense of Fox. For completed coverings between PL manifolds we give a characterization of the existence of a monodromy representation and the existence of a locally compact monodromy representation. These results stem from a characterization for the discreteness of a completed normal covering. We also show that completed coverings admitting a monodromy representations are discrete and that the image of the branch set is closed.

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