The Conway knot has infinite concordance order

Chiara Donatone; Marc Kegel; Lukas Lewark; Paula Truöl

The Conway knot has infinite concordance order

Geometric Topology 2026-06-29 v1

Authors: Chiara Donatone , Marc Kegel , Lukas Lewark , Paula Truöl

Abstract

We examine how the Rasmussen invariant, satellite operations, and null-homologous twists can be used to establish infinite order of knots in the smooth concordance group. As an application, we show that the Conway knot has infinite concordance order.

Cite

@article{arxiv.2606.30422,
  title  = {The Conway knot has infinite concordance order},
  author = {Chiara Donatone and Marc Kegel and Lukas Lewark and Paula Truöl},
  journal= {arXiv preprint arXiv:2606.30422},
  year   = {2026}
}

Comments

14 pages, 4 figures, comments welcome