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

Fendley P, Krushkal V. Topological quantum field theory and polynomial identities for graphs on the torus. To appear in Annales de l'Institut Henri Poincaré D. arXiv:1902.02760 . 2019.
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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.

Last updated on 10/30/2021