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arXiv · 0707.2949

Decomposability problem on branched coverings

Natalia A. Viana Bedoya·Daciberg Lima Goncalves
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Abstract

Given a branched covering of degree d between closed surfaces, it determines a collection of partitions of d, the branch data. In this work we show that any branch data are realized by an indecomposable primitive branched covering on a connected close surface N with Euler's characteristic less than or equal to 0. This shows that decomposable and indecomposable realizations may coexist. Moreover, we characterize the branch data of a decomposable primitive branched covering.

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Natalia A. Viana Bedoya, Daciberg Lima Goncalves. 2010-05-09. Decomposability problem on branched coverings. https://arxiv.org/abs/0707.2949

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