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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goldentorus.pdf1.76 MB
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.