JournalsaihpdVol. 10, No. 2pp. 277–298

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

  • Paul Fendley

    All Souls College and Peierls Centre for Theoretical Physics, Oxford, UK

  • Vyacheslav Krushkal

    University of Virginia, Charlottesville, USA
Topological quantum field theory and polynomial identities for graphs on the torus cover
Download PDF

This article is published open access under our Subscribe to Open model.

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.

Cite this article

Paul Fendley, Vyacheslav Krushkal, Topological quantum field theory and polynomial identities for graphs on the torus. Ann. Inst. Henri Poincaré Comb. Phys. Interact. 10 (2023), no. 2, pp. 277–298

DOI 10.4171/AIHPD/130