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:arXiv.org
Hauptverfasser: Fendley, Paul, Krushkal, Vyacheslav
Format: Paper
Sprache:Englisch
Veröffentlicht: Ithaca Cornell University Library, arXiv.org 27.01.2020
Schlagworte:
Field theory
Graphs
Polynomials
Quantum field theory
Quantum theory
Toruses
ISSN:2331-8422
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.
Bibliographie:SourceType-Working Papers-1
ObjectType-Working Paper/Pre-Print-1
content type line 50
ISSN:2331-8422
DOI:10.48550/arxiv.1902.02760