Unknotting number for Lorenz knots
arXiv:1502.01327
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.
11 pages, 8 figures