Characterizing slopes for the $(-2,3,7)$-pretzel knot
Geometric Topology
2022-09-23 v1
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.
Keywords
Cite
@article{arxiv.2209.10598,
title = {Characterizing slopes for the $(-2,3,7)$-pretzel knot},
author = {Duncan McCoy},
journal= {arXiv preprint arXiv:2209.10598},
year = {2022}
}
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9 pages