Minimal Degree Parameterizations of the Trefoil and Figure-Eight Knots
Geometric Topology
2011-11-15 v1
Abstract
This paper determines the minimal degree sequence for two compact rational knots, namely the trefoil and figure-eight knots. We find explicit projections with the minimal degree sequence of each knot. This is done by modifying a non-compact rational minimal-degree parameterization of the trefoil and figure-eight knots to make it compact. This research was conducted at Ramapo College of New Jersey during the summer of 2011 with Dr. Donovan McFeron.
Keywords
Cite
@article{arxiv.1111.3333,
title = {Minimal Degree Parameterizations of the Trefoil and Figure-Eight Knots},
author = {Samantha Pezzimenti},
journal= {arXiv preprint arXiv:1111.3333},
year = {2011}
}