Ribbon graphs and knots

Geometry Topology Seminar
Monday, October 20, 2008 - 14:00
1 hour (actually 50 minutes)
Skiles 269
University of Southern Alabama
In this talk I will describe some relations between embedded graphs, their polynomials and the Jones polynomial of an associated link. I will explain how relations between graphs, links and their polynomials leads to the definition of the partial dual of a ribbon graph. I will then go on to show that the realizations of the Jones polynomial as the Tutte polynomial of a graph, and as the topological Tutte polynomial of a ribbon graph are related, surprisingly, by the homfly polynomial.