A one-variable bracket polynomial for some Turk's head knots
Combinatorics
2018-07-17 v1 Geometric Topology
Abstract
We compute the Kauffman bracket polynomial of the three-lead Turk's head, the chain sinnet and the figure-eight chain shadow diagrams. Each of these knots can in fact be constructed by repeatedly concatenating the same 3-tangle, respectively, then taking the closure. The bracket is then evaluated by expressing the state diagrams of the concerned 3-tangle by means of the Kauffman monoid diagram's elements.
Cite
@article{arxiv.1807.05256,
title = {A one-variable bracket polynomial for some Turk's head knots},
author = {Franck Ramaharo},
journal= {arXiv preprint arXiv:1807.05256},
year = {2018}
}
Comments
9 pages, 2 figures, 4 tables