Fendley P, Krushkal V. Topological quantum field theory and polynomial identities for graphs on the torus. Ann. Inst. Henri Poincaré D 10 (2023), 277-298. 2023.
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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.