Three manifolds as geometric branched coverings of the three sphere

Details Three manifolds as geometric branched coverings of the three sphere Three manifolds as geometric branched coverings of the three sphere

2007-10-10

arxiv.org/abs/0710.1960v1

Mathematics

Geometric Topology

18 pages, 24 figures

Scientific paper

One method for obtaining every closed orientable 3-manifold is as branched
covering of the 3-sphere over a link. There is a classical topological result
showing that the minimun possible number of sheets in the covering is three. In
this paper we obtain a geometric version of this result. The interest is given
by the growing importance of geometry in 3-manifolds theory.

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