Monodromy representations of completed coverings

Martina Aaltonen

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arXiv · 1406.6484

Monodromy representations of completed coverings

Martina Aaltonen

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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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Martina Aaltonen. 2014-06-25. Monodromy representations of completed coverings. https://arxiv.org/abs/1406.6484

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