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

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

Download Citation

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

Information

Published: October 2018
First available in Project Euclid: 10 October 2018

zbMATH: 06985309
MathSciNet: MR3862782

Subjects:
Primary: 57M25
Secondary: 57M50 , 57N10

Rights: Copyright © 2018 Osaka University and Osaka City University, Departments of Mathematics

Vol.55 • No. 4 • October 2018
Back to Top