Three manifolds as geometric branched coverings of the three sphere
Geometric Topology
2007-10-11 v1
Abstract
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.
Cite
@article{arxiv.0710.1960,
title = {Three manifolds as geometric branched coverings of the three sphere},
author = {G. Brumfiel and H. Hilden and M. T. Lozano and J. M. Montesinos--Amilibia and E. Ramirez--Losada and H. Short and D. Tejada and M. Toro},
journal= {arXiv preprint arXiv:0710.1960},
year = {2007}
}
Comments
18 pages, 24 figures