Classification of alternating knots with tunnel number one
Geometric Topology
2007-05-23 v2
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.
Keywords
Cite
@article{arxiv.math/0103217,
title = {Classification of alternating knots with tunnel number one},
author = {Marc Lackenby},
journal= {arXiv preprint arXiv:math/0103217},
year = {2007}
}
Comments
38 pages, 26 figures; to appear in Communications in Analysis and Geometry