Unknotting sequences for torus knots
Geometric Topology
2015-05-13 v1
Abstract
The unknotting number of a knot is bounded from below by its slice genus. It is a well-known fact that the genera and unknotting numbers of torus knots coincide. In this note we characterize quasipositive knots for which the genus bound is sharp: the slice genus of a quasipositive knot equals its unknotting number, if and only if the given knot appears in an unknotting sequence of a torus knot.
Keywords
Cite
@article{arxiv.0809.0183,
title = {Unknotting sequences for torus knots},
author = {Sebastian Baader},
journal= {arXiv preprint arXiv:0809.0183},
year = {2015}
}
Comments
7 pages, 5 figures