Topology Atlas | Conferences

Knots in Washington XL in memory of Sergei Duzhin (1956-2015)
March 9-11, 2015
George Washington University and Georgetown University
Washington, DC, USA

Organizers
Valentina Harizanov (GWU), Paul Kainen (Georgetown U.), Jozef H. Przytycki (GWU), Yongwu Rong (GWU), Radmila Sazdanovic (NCSU), Alexander Shumakovitch (GWU), Hao Wu (GWU)

Conference Homepage


A formula for the Dubrovnik polynomial of rational knots
by
Carmen Caprau
California State University, Fresno
Coauthors: Katherine Urabe

The Dubrovnik polynomial is a version of the two-variable Kauffman polynomial for unoriented knots and links. In this talk, we derive 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.

This work was inspired by a paper of S. Duzhin and M. Shkolnikov, in which they gave an explicit formula for the HOMFLY-PT polynomial of oriented rational knots in terms of a continued fraction for the rational number that represents the given knot.

Date received: February 27, 2015

Copyright © 2015 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cbkp-18.