The length of unknotting tunnels

Details The length of unknotting tunnels The length of unknotting tunnels

2008-12-04

arxiv.org/abs/0812.0858v2

Mathematics

Geometric Topology

20 pages, 6 figures. 20 pages, 6 figures. Daryl Cooper added as author. V2 contains two new sections, including a second proof

Scientific paper

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.

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