Cosmetic banding on knots and links

We present various examples of cosmetic bandings on knots and links, that is, bandings on knots and links leaving their types unchanged. As a byproduct, we give a hyperbolic knot which admits exotic chirally cosmetic surgeries yielding hyperbolic manifolds. This gives a counterexample to a conjectur...

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Hauptverfasser: Ichihara, Kazuhiro, Jong, In Dae, Masai, Hidetoshi
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Sprache:eng
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Zusammenfassung:We present various examples of cosmetic bandings on knots and links, that is, bandings on knots and links leaving their types unchanged. As a byproduct, we give a hyperbolic knot which admits exotic chirally cosmetic surgeries yielding hyperbolic manifolds. This gives a counterexample to a conjecture raised by Bleiler, Hodgson and Weeks.
DOI:10.48550/arxiv.1602.01542