Involutions of knots that fix unknotting tunnels
Geometric Topology
2009-03-06 v1
Abstract
Let K be a knot that has an unknotting tunnel tau. We prove that K admits a strong involution that fixes tau pointwise if and only if K is a two-bridge knot and tau its upper or lower tunnel.
Cite
@article{arxiv.math/0401421,
title = {Involutions of knots that fix unknotting tunnels},
author = {David Futer},
journal= {arXiv preprint arXiv:math/0401421},
year = {2009}
}
Comments
9 pages, 3 figures