Cable knots are not thin

Subhankar Dey

Cable knots are not thin

Geometric Topology 2025-09-11 v2

Authors: Subhankar Dey

Abstract

Using the Bordered Floer theory of Lipshitz-Ozsv\'ath-Thurston we prove that the $(p,q)$ -cables of any non-trivial knots are not Heegaard Floer homologically thin. Using the proof and a theorem of Zemke, we find a larger set of satellite knots which is a proper superset of the set of all cable knots, having the same property.

Keywords

knot theory

Cite

@article{arxiv.1904.11591,
  title  = {Cable knots are not thin},
  author = {Subhankar Dey},
  journal= {arXiv preprint arXiv:1904.11591},
  year   = {2025}
}

Comments

Revised version, accepted to be published in Algebraic and Geometric Topology

Related papers

View all related →