paper

Characterizing slopes for the -pretzel knot

arXiv:2209.10598

Abstract

In this note we exhibit concrete examples of characterizing slopes for the knot , aka the -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.

9 pages

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