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This article is available for purchase or by subscription. See below.
The length of
unknotting tunnels
Daryl Cooper, Marc Lackenby and Jessica S Purcell |
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Algebraic & Geometric Topology 10 (2010) 637–661
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Abstract |
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We show there exist tunnel number one hyperbolic –manifolds with arbitrarily long unknotting tunnel. This provides a negative answer to an old question of Colin Adams. |
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Keywords
unknotting tunnel, hyperbolic $3$–manifold, geodesic
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Mathematical Subject Classification 2000
Primary: 57M50
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References |
Publication
Received: 11 August 2009
Accepted: 13 January 2010
Published: 13 March 2010
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Authors |
| Daryl Cooper | |
| Department of Mathematics University of California, Santa Barbara Santa Barbara, CA 93106 USA |
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| Marc Lackenby | |
| Mathematical Institute University of Oxford 24–29 St Giles’ Oxford OX1 3LB United Kingdom |
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| Jessica S Purcell | |
| Department of Mathematics Brigham Young University Provo, UT 84604 USA |
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