Prime Decomposition of Knots in Lorenz-like Templates
Dynamical Systems
2007-05-23 v1
Abstract
R. F. Williams showed that all knots in the Lorenz template are prime. His proof included the cases where any number of positive twists were added to one of the template's branches. However, Williams does give an example of a composite knot in a template with a single negative twist. Below we will show that in all the negative cases composite knots do exist, and give a mechanism for producing many examples.
Cite
@article{arxiv.math/0308085,
title = {Prime Decomposition of Knots in Lorenz-like Templates},
author = {Mike Sullivan},
journal= {arXiv preprint arXiv:math/0308085},
year = {2007}
}
Comments
10 pages; 9 figures, many with multiple parts