Cosmetic crossings of twisted knots
Geometric Topology
2014-06-09 v5
Abstract
We prove that the property of admitting no cosmetic crossing changes is preserved under the operation of forming certain satellites of winding number zero. We also define strongly cosmetic crossing changes and we discuss their behavior under the operation of inserting full twists in the strings of closed braids.
Keywords
Cite
@article{arxiv.1301.6369,
title = {Cosmetic crossings of twisted knots},
author = {Cheryl Balm and Efstratia Kalfagianni},
journal= {arXiv preprint arXiv:1301.6369},
year = {2014}
}
Comments
13 pages, Extensive revision --prepared for journal submission