A one-variable bracket polynomial for some Turk’s head knots
Published in arXiv e-Print archive, 2018
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.
Recommended citation: Franck Ramaharo (2018), "A one-variable bracket polynomial for some Turk's head knots", arXiv e-Print archive, arXiv:1807.05256 [math.CO].
Download Paper