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arxiv: math/0606379 · v2 · submitted 2006-06-15 · 🧮 math.GT

Tunnel number one, genus one fibered knots

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keywords numbertunnelfiberedgenusknotsbundlecomponentdehn
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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.

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