Examples of reducible and finite Dehn fillings
Geometric Topology
2009-10-14 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0910.2408,
title = {Examples of reducible and finite Dehn fillings},
author = {Sungmo Kang},
journal= {arXiv preprint arXiv:0910.2408},
year = {2009}
}
Comments
19 pages, 8 figures and to appear in Journal of Knot Theory and Its Ramifications