Monodromy representations of completed coverings
Geometric Topology
2014-06-26 v1
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.
Keywords
Cite
@article{arxiv.1406.6484,
title = {Monodromy representations of completed coverings},
author = {Martina Aaltonen},
journal= {arXiv preprint arXiv:1406.6484},
year = {2014}
}