Geodesic
A Note on Chirally Cosmetic Surgery on Cable Knots
Canadian mathematical bulletin, Tome 64 (2021) no. 1, pp. 163-173

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DOI

We show that a $(p,q)$-cable of a non-trivial knot K does not admit chirally cosmetic surgeries for $q\neq 2$, or $q=2$ with additional assumptions. In particular, we show that a $(p,q)$-cable of a non-trivial knot K does not admit chirally cosmetic surgeries as long as the set of JSJ pieces of the knot exterior does not contain the $(2,r)$-torus exterior for any r. We also show that an iterated torus knot other than the $(2,p)$-torus knot does not admit chirally cosmetic surgery.
DOI : 10.4153/S0008439520000338
Mots-clés : Chirally cosmetic surgery, cable knots 
Ito, Tetsuya. A Note on Chirally Cosmetic Surgery on Cable Knots. Canadian mathematical bulletin, Tome 64 (2021) no. 1, pp. 163-173. doi: 10.4153/S0008439520000338
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     title = {A {Note} on {Chirally} {Cosmetic} {Surgery} on {Cable} {Knots}},
     journal = {Canadian mathematical bulletin},
     pages = {163--173},
     year = {2021},
     volume = {64},
     number = {1},
     doi = {10.4153/S0008439520000338},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439520000338/}
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