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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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. |
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DOI: | 10.48550/arxiv.1602.01542 |