arXiv:0812.0858 Abstract | arXiv Analytics

arXiv:0812.0858 [math.GT]Abstract References Reviews Resources

The length of unknotting tunnels

Daryl Cooper, Marc Lackenby, Jessica S. Purcell

Published 2008-12-04, updated 2009-03-13Version 2

We show there exist tunnel number one hyperbolic 3-manifolds with arbitrarily long unknotting tunnel. This provides a negative answer to an old question of Colin Adams.

Comments: 20 pages, 6 figures. 20 pages, 6 figures. Daryl Cooper added as author. V2 contains two new sections, including a second proof of the main result, and a proof that the result holds for knots in homology spheres

Categories: math.GT

Subjects: 57M50

Keywords: colin adams, old question, arbitrarily long unknotting tunnel, tunnel number

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