Quantum Topology / Hopf Algebra Seminar
Sergei Chmutov
Ohio State University
Generalized duality for graphs on surfaces and its application to links.
Abstract: The natural duality of graphs embedded into a surface can be generalized
to a duality with respect to a subset of edges. The dual graph might be
embedded into a different surface. For graphs on surfaces there is a
generalization of the classical Tutte polynomial called the
Bollobas-Riordan polynomial. In this talk I will explain a relation
between the signed Bollobas-Riordan polynomials of dual graphs. This
relation unifies various recent Thistlethwaite's type results of
expressing the Jones polynomial of (virtual) links as specializations of
the Bollobas-Riordan polynomials.
Tuesday January 15, 2008 at 2:00 PM in SEO 512