Non-integral boundary slopes of alternating knots

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Abstract

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 introducedby Jaco and Rubinstein and further developed by Howie et al.

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europepmc
last seen: 2026-05-19T01:45:01.086888+00:00
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License: CC-BY-4.0