On the lexicographic degree of two-bridge knots
Geometric Topology
2014-11-25 v2 Algebraic Geometry
Abstract
We study the degree of polynomial representations of knots. We obtain the lexicographic degree for two-bridge torus knots and generalized twist knots. The proof uses the braid theoretical method developed by Orevkov to study real plane curves, combined with previous results from [KP10] and [BKP14]. We also give a sharp lower bound for the lexicographic degree of any knot, using real polynomial curves properties.
Keywords
Cite
@article{arxiv.1411.5793,
title = {On the lexicographic degree of two-bridge knots},
author = {Erwan Brugallé and Pierre-Vincent Koseleff and Daniel Pecker},
journal= {arXiv preprint arXiv:1411.5793},
year = {2014}
}
Comments
14p., 21 figs