Knot concordances and alternating knots
Geometric Topology
2017-07-21 v1
Abstract
There is an infinitely generated free subgroup of the smooth knot concordance group with the property that no nontrivial element in this subgroup can be represented by an alternating knot. This subgroup has the further property that every element is represented by a topologically slice knot.
Cite
@article{arxiv.1512.08414,
title = {Knot concordances and alternating knots},
author = {Stefan Friedl and Charles Livingston and Raphael Zentner},
journal= {arXiv preprint arXiv:1512.08414},
year = {2017}
}
Comments
10 pages, 3 figures