There are no unexpected tunnel number one knots of genus one
Abstract
Description
The only knots that are tunnel number one and genus one are those that are already known: 2-bridge knots obtained by plumbing together two unknotted annuli and the satellite examples classified by Eudave-Munoz and by Morimoto-Sakuma. This confirms a conjecture first made by Goda and Teragaito.
73 pp. including 30 figures
73 pp. including 30 figures