Geodesic
Characterizing slopes for the $(-2,3,7)$-pretzel knot
Canadian mathematical bulletin, Tome 66 (2023) no. 3, pp. 937-950

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DOI

In this note, we exhibit concrete examples of characterizing slopes for the knot $12n242$, also known as the $(-2,3,7)$-pretzel knot. Although it was shown by Lackenby that every knot admits infinitely many characterizing slopes, the nonconstructive nature of the proof means that there are very few hyperbolic knots for which explicit examples of characterizing slopes are known.
DOI : 10.4153/S0008439523000073
Mots-clés : Dehn surgery, characterizing slopes, hyperbolic knots 
McCoy, Duncan. Characterizing slopes for the $(-2,3,7)$-pretzel knot. Canadian mathematical bulletin, Tome 66 (2023) no. 3, pp. 937-950. doi: 10.4153/S0008439523000073
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     author = {McCoy, Duncan},
     title = {Characterizing slopes for the $(-2,3,7)$-pretzel knot},
     journal = {Canadian mathematical bulletin},
     pages = {937--950},
     year = {2023},
     volume = {66},
     number = {3},
     doi = {10.4153/S0008439523000073},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439523000073/}
}
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