English

Twisted torus links that are unlinks

Geometric Topology 2026-02-05 v1

Abstract

A twisted torus link T(p,q,r,s)T(p,q,r,s) is obtained by performing ss full twists on rr adjacent strands of the (p,q)(p,q)-torus link. In this paper, we classify twisted torus links that are unlinks. We give a complete characterization of all parameter families (p,q,r,s)(p,q,r,s) for which the associated twisted torus link is an unlink.

Cite

@article{arxiv.2602.04382,
  title  = {Twisted torus links that are unlinks},
  author = {Hong Chang and Thiago de Paiva and Qing Lan},
  journal= {arXiv preprint arXiv:2602.04382},
  year   = {2026}
}
R2 v1 2026-07-01T09:35:39.748Z