Hyperbolic Twisted Torus Links

Thiago de Paiva

Hyperbolic Twisted Torus Links

Geometric Topology 2026-05-08 v2

Authors: Thiago de Paiva

Abstract

The twisted torus link $T(p, q; r, s)$ is obtained by twisting $r$ parallel strands of the $(p, q)$ -torus link a total of $s$ full times. In this paper we find all twisted torus links which are hyperbolic for $\vert s\vert >3$ .

Cite

@article{arxiv.2202.10975,
  title  = {Hyperbolic Twisted Torus Links},
  author = {Thiago de Paiva},
  journal= {arXiv preprint arXiv:2202.10975},
  year   = {2026}
}

Comments

19 pages, 3 figures. Revised version: minor corrections. Lemma 3.1 has been corrected; the main results are unchanged. Published in Geometriae Dedicata

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