Examples of reducible and finite Dehn fillings

Details Examples of reducible and finite Dehn fillings Examples of reducible and finite Dehn fillings

2009-10-13

arxiv.org/abs/0910.2408v1

Mathematics

Geometric Topology

19 pages, 8 figures and to appear in Journal of Knot Theory and Its Ramifications

Scientific paper

If a hyperbolic 3-manifold M admits a reducible and a finite Dehn filling, the distance between the filling slopes is known to be 1. This has been proved recently by Boyer, Gordon and Zhang. The first example of a manifold with two such fillings was given by Boyer and Zhang. In this paper, we give examples of hyperbolic manifolds admitting a reducible Dehn filling and a finite Dehn filling of every type: cyclic, dihedral, tetrahedral, octahedral and icosahedral.

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