On non almost-fibered knots
Geometric Topology
2024-03-19 v1
Abstract
An almost-fibered knot is a knot whose complement possesses a circular thin position in which there is one and only one weakly incompressible Seifert surface and one incompressible Seifert surface. Infinite examples of almost-fibered knots are known. In this article, we show the existence of infinitely many hyperbolic genus one knots that are not almost-fibered.
Keywords
Cite
@article{arxiv.2104.00039,
title = {On non almost-fibered knots},
author = {Mario Eudave-Muñoz and Araceli Guzmán-Tristán and Enrique Ramírez-Losada},
journal= {arXiv preprint arXiv:2104.00039},
year = {2024}
}
Comments
arXiv admin note: text overlap with arXiv:1812.06930 by other authors