Topology Atlas | Conferences

Knots in Washington XVIII; Khovanov homology
May 28-30, 2004
George Washington University
Washington, DC, USA

Organizers
Jozef H. Przytycki (GWU), Yongwu Rong (GWU)

Conference Homepage


The Kauffman bracket and the Bollobas-Riordan polynomial of ribbon graph
by
Sergei Chmutov
The Ohio State University, Mansfield
Coauthors: Igor Pak

For a ribbon graph G we consider an alternating link LG in the 3-manifold G×I represented as the product of the oriented surface G and the unit interval I. We show that the Kauffman bracket [LG] is an evaluation of the recently introduced Bollobas-Riordan polynomial RG. This results generalizes the celebrated relation between Kauffman bracket and Tutte polynomial of planar graphs. Joint work with Igor Pak.

Paper reference: arXiv:math.GT/0404475

Date received: April 30, 2004

Copyright © 2004 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 # canv-11.