Characterizing slopes for the $(-2,3,7)$-pretzel knot

Duncan McCoy

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arXiv · 2209.10598

Characterizing slopes for the $(-2,3,7)$-pretzel knot

Duncan McCoy

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Abstract

In this note we exhibit concrete examples of characterizing slopes for the knot $12n242$, aka the $(-2,3,7)$-pretzel knot. Although it was shown by Lackenby that every knot admits infinitely many characterizing slopes, the non-constructive nature of the proof means that there are very few hyperbolic knots for which explicit examples of characterizing slopes are known.

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Duncan McCoy. 2022-09-21. Characterizing slopes for the $(-2,3,7)$-pretzel knot. https://arxiv.org/abs/2209.10598

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