Twisted torus links that are unlinks

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Hong Chang, Thiago de Paiva, Qing Lan
DOI: 10.48550/arxiv.2602.04382
Cited by: 0

Abstract

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

Fields of Study & Subjects

Geometric and Algebraic Topology Algebraic Geometry and Number Theory Advanced Graph Theory Research

Publication details

Journal / source
arXiv (Cornell University)
Publication date
4 February 2026
Document type
Preprint