Cosmetic banding on knots and links
Geometric Topology
2017-02-14 v2
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.
Keywords
Cite
@article{arxiv.1602.01542,
title = {Cosmetic banding on knots and links},
author = {Kazuhiro Ichihara and In Dae Jong and Hidetoshi Masai},
journal= {arXiv preprint arXiv:1602.01542},
year = {2017}
}
Comments
17 pages, 15 figures, with an appendix by Hidetoshi Masai