Strongly invertible knots, rational-fold branched coverings and hyperbolic spatial graphs
General Topology
2007-11-05 v2 Geometric Topology
Abstract
A construction of a spatial graph from a strongly invertible knot was developed by the second author, and a necessary and sufficient condition for the given spatial graph to be hyperbolic was provided as well. The condition is improved in this paper. This enable us to show that certain classes of knots can yield hyperbolic spatial graphs via the construction.
Cite
@article{arxiv.math/0603707,
title = {Strongly invertible knots, rational-fold branched coverings and hyperbolic spatial graphs},
author = {Kazuhiro Ichihara and Akira Ushijima},
journal= {arXiv preprint arXiv:math/0603707},
year = {2007}
}
Comments
18 pages, 3 figures; proofs of several results, including Proposition 2 and Lemma 6 has been improved. Mail theorem is also improved