Cube number can detect chirality and Legendrian type of knots
Geometric Topology
2010-06-25 v1
Abstract
For a knot K the cube number is a knot invariant defined to be the smallest n for which there is a cube diagram of size n for K. We will show that the cube number detects chirality in all cases computed thus far, and distinguishes certain legendrian knots.
Cite
@article{arxiv.1006.4852,
title = {Cube number can detect chirality and Legendrian type of knots},
author = {Ben McCarty},
journal= {arXiv preprint arXiv:1006.4852},
year = {2010}
}