Communications in Analysis and Geometry

Volume 17 (2009)

Number 1

Tunnel number one, genus-one fibered knots

Pages: 1 – 16



Kenneth L. Baker (Department of Mathematics, University of Miami)

Jesse E. Johnson (Department of Mathematics, Yale University)

Elizabeth A. Klodginski (Department of Mathematics, University of Pennsylvania)


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.

Published 1 January 2009