Hyperbolic geometry and Jones polynomial of embedded graphs

Graph Theory Seminar
Thursday, October 9, 2008 - 12:05
1.5 hours (actually 80 minutes)
Skiles 255
University of Amsterdam
The aim of this talk is to introduce techniques from knot theory into the study of graphs embedded in 3-space. The main characters are hyperbolic geometry and the Jones polynomial. Both have proven to be very successful in studying knots and conjecturally they are intimately related. We show how to extend these techniques to graphs and discuss possible applications. No prior knowledge of knot theory or geometry will be assumed.