Publicacions Matemàtiques

A formula for the Dubrovnik polynomial of rational knots

Carmen and Caprau and Katherine Urabe

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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.

Article information

Publ. Mat., Volume 61, Number 1 (2017), 105-134.

Received: 14 April 2015
Revised: 25 February 2016
First available in Project Euclid: 22 December 2016

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 57M27: Invariants of knots and 3-manifolds 57M25: Knots and links in $S^3$ {For higher dimensions, see 57Q45}

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


Caprau, Carmen; and Urabe, Katherine. A formula for the Dubrovnik polynomial of rational knots. Publ. Mat. 61 (2017), no. 1, 105--134. doi:10.5565/PUBLMAT_61117_04.

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