English

Satellite knots and trivializing bands

Geometric Topology 2020-05-26 v1

Abstract

We show an infinite family of satellite knots that can be unknotted by a single band move, but such that there is no band unknotting the knots which is disjoint from the satellite torus.

Keywords

Cite

@article{arxiv.2005.11893,
  title  = {Satellite knots and trivializing bands},
  author = {Lorena Armas-Sanabria and Mario Eudave-Muñoz},
  journal= {arXiv preprint arXiv:2005.11893},
  year   = {2020}
}

Comments

10 pages, 5 figures

R2 v1 2026-06-23T15:46:47.314Z