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Corpus ID: 232478705

On non almost-fibered knots

@inproceedings{Eudavemuoz2021OnNA,
title={On non almost-fibered knots},
author={Mario Eudave-mu{\~n}oz and Araceli Guzm'an-Trist'an and Enrique Ram'irez-Losada},
year={2021}
}

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.

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