Constructing real rational knots by gluing
Geometric Topology
2016-08-16 v1
Abstract
We show that the problem of constructing a real rational knot of a reasonably low degree can be reduced to an algebraic problem involving the pure braid group: expressing an associated element of the pure braid group in terms of the standard generators of the pure braid group. We also predict the existence of a real rational knot in a degree that is expressed in terms of the edge number of its polygonal representation.
Cite
@article{arxiv.1608.03975,
title = {Constructing real rational knots by gluing},
author = {Shane D'Mello and Rama Mishra},
journal= {arXiv preprint arXiv:1608.03975},
year = {2016}
}
Comments
17 pages, 13 figures