Classification of alternating knots with tunnel number one

Marc Lackenby

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Classification of alternating knots with tunnel number one

Marc Lackenby

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Abstract

This paper gives a complete classification of all alternating knots with tunnel number one, and all their unknotting tunnels. We prove that the only such knots are two-bridge knots and certain Montesinos knots.

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BibTeX RIS

Marc Lackenby. 2002-08-05. Classification of alternating knots with tunnel number one. https://arxiv.org/abs/math/0103217

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