Classification of unknotting tunnels for two bridge knots
Geometric Topology
2007-05-23 v1
Abstract
In this paper, we show that any unknotting tunnel for a two bridge knot is isotopic to either one of known ones. This together with Morimoto-Sakuma's result gives the complete classification of unknotting tunnels for two bridge knots up to isotopies and homeomorphisms.
Keywords
Cite
@article{arxiv.math/9911254,
title = {Classification of unknotting tunnels for two bridge knots},
author = {Tsuyoshi Kobayashi},
journal= {arXiv preprint arXiv:math/9911254},
year = {2007}
}
Comments
32 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTMon2/paper14.abs.html