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arXiv:math/0103217 [math.GT]AbstractReferencesReviewsResources

Classification of alternating knots with tunnel number one

Marc Lackenby

Published 2001-03-30, updated 2002-08-05Version 2

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.

Comments: 38 pages, 26 figures; to appear in Communications in Analysis and Geometry
Categories: math.GT
Subjects: 57M25
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