Torus Lorenz Links obtained by Full Twists along Torus Links
Geometric Topology
2023-01-04 v2
Abstract
All knots are known to be hyperbolic, satellite, or torus knots, and one important family is Lorenz links, or T-links, which arise from dynamics. However, it remains difficult to determine the geometric type of a Lorenz link from a description via dynamics or as a T-link. In this paper, we consider those T-links that are torus links. We show that T-links obtained by full twists along torus links can never be torus links, aside from a family of cases. This addresses a question of Birman and Kofman.
Cite
@article{arxiv.2203.10935,
title = {Torus Lorenz Links obtained by Full Twists along Torus Links},
author = {Thiago de Paiva},
journal= {arXiv preprint arXiv:2203.10935},
year = {2023}
}
Comments
8 pages, 1 figure. V2 contains minor changes. To appear in Proceedings of the AMS