Abstract
Author(s): Scharlemann, Martin | Abstract: We show that 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 and Sakuma. This confirms a conjecture first made by Goda and Teragaito.
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