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

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.
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https://hal.archives-ouvertes.fr/hal-01842108
Contributor : Franck Ramaharo <>
Submitted on : Tuesday, July 17, 2018 - 8:06:13 PM
Last modification on : Sunday, April 7, 2019 - 7:58:02 PM
Long-term archiving on : Thursday, October 18, 2018 - 4:36:05 PM

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  • HAL Id : hal-01842108, version 1
  • ARXIV : 1807.05256

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

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