Unknotting number for Lorenz knots
Geometric Topology
2015-03-04 v2
Abstract
The unknotting number of a positive braid with n strands and k intersections is known to be equal to (k-n+1)/2. We consider Lorenz knots (which are positive braids) and, using a different method, find their unknotting numbers in terms of their positions on the Lorenz attractor.
Keywords
Cite
@article{arxiv.1502.01327,
title = {Unknotting number for Lorenz knots},
author = {Lilya Lyubich},
journal= {arXiv preprint arXiv:1502.01327},
year = {2015}
}
Comments
11 pages, 8 figures