Topological quantum field theory and polynomial identities for graphs on the torus

Abstract

We establish a relation between the trace evaluation in SO(3) topological quantum field theory and evaluations of a topological Tutte polynomial. As an application, a generalization of the Tutte golden identity is proved for graphs on the torus.

15 pages. V2: minor changes in exposition; updated references

References in corpus (3)

• Topological Defects on the Lattice I: The Ising model
• The Jones polynomial and graphs on surfaces
• Planar diagrams for local invariants of graphs in surfaces