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arxiv: 1602.01542 · v2 · pith:26N3PFTEnew · submitted 2016-02-04 · 🧮 math.GT

Cosmetic banding on knots and links

classification 🧮 math.GT
keywords cosmeticknotslinksbandingshyperbolicadmitsbandingbleiler
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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.

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