Tunnel number one, genus one fibered knots

Details Tunnel number one, genus one fibered knots Tunnel number one, genus one fibered knots

2006-06-15

arxiv.org/abs/math/0606379v2

Mathematics

Geometric Topology

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

Scientific paper

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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