Topology Atlas | Conferences

Knots in Washington XXXI; Categorification, Quandles, Quantum knots and Quantum computing
December 3-5, 2010
George Washington University
Washington, DC, USA

Organizers
Valentina Harizanov (GWU), Jozef H. Przytycki (GWU), Yongwu Rong (GWU, NSF), Radmila Sazdanovic (U.Penn), Alexander Shumakovitch (GWU), Hao Wu (GWU)

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Two approaches to virtual Thistlethwaite's theorem
by
Sergei Chmutov
The Ohio State University, Mansfield
Coauthors: Clark Butler

There are two different generalizations of Thistlethwaite's theorem to virtual links. One is based on ribbon graphs and a topological version of the Tutte polynomial due to B.Bollobas and O.Riordan. Another involves a relative version of the Tutte polynomial of plane graphs found by Y.Diao and G.Hetyei. I explain a direct relation between the Bollobas-Riordan of ribbon graphs and relative Tutte polynomials plane graphs. This is a joint work with Clark Butler.

Paper reference: arXiv:1011.0072

Date received: November 23, 2010

Copyright © 2010 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 # cbbr-18.