Abstract
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.
Citation
Kazuhiro Ichihara. In Dae Jong. Hidetoshi Masai. "Cosmetic banding on knots and links." Osaka J. Math. 55 (4) 731 - 745, October 2018.