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

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.

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Veröffentlicht in:Annales de l'Institut Henri Poincaré. D. Combinatorics, physics and their interactions Jg. 10; H. 2; S. 277 - 298
Hauptverfasser: Fendley, Paul, Krushkal, Vyacheslav
Format: Journal Article
Sprache:Englisch
Veröffentlicht: 28.04.2023
ISSN:2308-5827, 2308-5835
Online-Zugang:Volltext
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Zusammenfassung: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.
ISSN:2308-5827
2308-5835
DOI:10.4171/aihpd/130