Tunnel number one, genus one fibered knots
Geometric Topology
2007-05-23 v2
Abstract
We determine the genus one fibered knots in lens spaces that have tunnel number one. We also show that every tunnel number one, once-punctured torus bundle is the result of Dehn filling a component of the Whitehead link in the 3-sphere.
Keywords
Cite
@article{arxiv.math/0606379,
title = {Tunnel number one, genus one fibered knots},
author = {Kenneth L. Baker and Jesse E. Johnson and Elizabeth A. Klodginski},
journal= {arXiv preprint arXiv:math/0606379},
year = {2007}
}
Comments
12 pages, 4 figures; incorporated referee comments; accepted by CAG