Invertible knot concordances and prime knots
Geometric Topology
2007-05-23 v1
Abstract
Kirby and Lickorish showed that every knot in the 3-sphere is concordant to a prime knot, equivalently, every concordance class contains a prime knot. We prove here that their result can be strengthened: Every knot in the 3-sphere is invertibly concordant to a prime knot. A consequence is that every double concordance class contains a prime knot.
Keywords
Cite
@article{arxiv.math/0003034,
title = {Invertible knot concordances and prime knots},
author = {Se-Goo Kim},
journal= {arXiv preprint arXiv:math/0003034},
year = {2007}
}
Comments
6 pages, 3 figures, LaTeX 2e