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Pré-Publication, Document De Travail Année : 2018

A one-variable bracket polynomial for some Turk's head knots

Franck Ramaharo

Résumé

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.
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hal-01842108 , version 1 (17-07-2018)

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Franck Ramaharo. A one-variable bracket polynomial for some Turk's head knots. 2018. ⟨hal-01842108⟩

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