Strongly invertible knots, rational-fold branched coverings and hyperbolic spatial graphs

Details Strongly invertible knots, rational-fold branched coverings and hyperbolic spatial graphs Strongly invertible knots, rational-fold branched coverings and hyperbolic spatial graphs

2006-03-30

arxiv.org/abs/math/0603707v2

Mathematics

General Topology

18 pages, 3 figures; proofs of several results, including Proposition 2 and Lemma 6 has been improved. Mail theorem is also im

Scientific paper

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.

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