paper

Tunnel number one, genus one fibered knots

arXiv:math/0606379

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.

12 pages, 4 figures; incorporated referee comments; accepted by CAG

Tunnel number one, genus one fibered knots · wovepaper