Ribbon concordance of knots is a partial order
Geometric Topology
2022-01-12 v1
Abstract
In this note we show that ribbon concordance forms a partial ordering on the set of knots, answering a question of Gordon. The proof makes use of representation varieties of the knot groups to and relations between them induced by a ribbon concordance.
Cite
@article{arxiv.2201.03626,
title = {Ribbon concordance of knots is a partial order},
author = {Ian Agol},
journal= {arXiv preprint arXiv:2201.03626},
year = {2022}
}
Comments
6 pages, 2 figures