Using the HOMFLY-PT polynomial to compute knot types
Geometric Topology
2023-11-03 v1
Abstract
The HOMFLY-PT polynomial is a link invariant which is effective in determining chiral knot and link types with small crossing numbers. In this chapter, we concentrate on knots. We provide a guide for computing the knot types of configurations from 3D coordinates via the HOMFLY-PT polynomial using publicly-available Linux freeware. We include data on the efficacy of HOMFLY-PT for knot types through crossing number 16.
Keywords
Cite
@article{arxiv.2311.00817,
title = {Using the HOMFLY-PT polynomial to compute knot types},
author = {Eric J. Rawdon and Robert G. Scharein},
journal= {arXiv preprint arXiv:2311.00817},
year = {2023}
}