Revista Matemática Iberoamericana

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Volume 32, Issue 2, 2016, pp. 533–570
DOI: 10.4171/RMI/894

Published online: 2016-06-08

Monodromy representations of completed coverings

Martina Aaltonen[1]

(1) University of Helsinki, Finland

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 of the discreteness of a completed normal covering. We also show that a completed covering admitting a monodromy representation is discrete and that the image of the branch set is closed.

Keywords: Branched covering, spread, monodromy

Aaltonen Martina: Monodromy representations of completed coverings. Rev. Mat. Iberoam. 32 (2016), 533-570. doi: 10.4171/RMI/894