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arXiv · 2309.02370

Non-integral boundary slopes of alternating knots

Masaharu Ishikawa·Thomas W. Mattman·Koya Shimokawa
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Abstract

We show, for every positive integer $n$, there is an alternating knot having a boundary slope with denominator $n$. We make use of Kabaya's method for boundary slopes and the layered solid torus construction introduced by Jaco and Rubinstein and further developed by Howie et al.

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Masaharu Ishikawa, Thomas W. Mattman, Koya Shimokawa. 2023-09-05. Non-integral boundary slopes of alternating knots. https://arxiv.org/abs/2309.02370

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