Cosmetic banding on knots and links
arXiv:1602.01542
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.
17 pages, 15 figures, with an appendix by Hidetoshi Masai