A formula for the Dubrovnik polynomial of rational knots

Carmen and  Caprau; Katherine Urabe

doi:10.5565/PUBLMAT_61117_04

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Home > Journals > Publ. Mat. > Volume 61 > Issue 1 > Article

2017 A formula for the Dubrovnik polynomial of rational knots

Carmen and Caprau, Katherine Urabe

Publ. Mat. 61(1): 105-134 (2017). DOI: 10.5565/PUBLMAT_61117_04

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Abstract

We provide a formula for the Dubrovnik polynomial of a rational knot in terms of the entries of the tuple associated with a braid-form diagram of the knot. Our calculations can be easily carried out using a computer algebra system.

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Carmen and Caprau. Katherine Urabe. "A formula for the Dubrovnik polynomial of rational knots." Publ. Mat. 61 (1) 105 - 134, 2017. https://doi.org/10.5565/PUBLMAT_61117_04

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Received: 14 April 2015; Revised: 25 February 2016; Published: 2017

First available in Project Euclid: 22 December 2016

zbMATH: 1365.57012

MathSciNet: MR3590116

Digital Object Identifier: 10.5565/PUBLMAT_61117_04

Subjects:

Primary: 57M25 , 57M27

Keywords: Kauffman two-variable polynomial of knots and links , knot invariants , rational knots and links

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Publ. Mat.

Vol.61 • No. 1 • 2017

Universitat Autònoma de Barcelona, Departament de Matemàtiques

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Carmen and Caprau, Katherine Urabe "A formula for the Dubrovnik polynomial of rational knots," Publicacions Matemàtiques, Publ. Mat. 61(1), 105-134, (2017)

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