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arXiv:math/0606379 [math.GT]AbstractReferencesReviewsResources

Tunnel number one, genus one fibered knots

Kenneth L. Baker, Jesse E. Johnson, Elizabeth A. Klodginski

Published 2006-06-15, updated 2007-02-02Version 2

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.

Comments: 12 pages, 4 figures; incorporated referee comments; accepted by CAG
Categories: math.GT
Subjects: 57M50, 57M12, 57M25
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