Topological quantum field theory and polynomial identities for graphs on the torus
Annales de l’Institut Henri Poincaré D, Tome 10 (2023) no. 2, pp. 277-298.
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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.

Accepté le :
Publié le :
DOI : 10.4171/aihpd/130
Classification : 57-XX, 05-XX, 82-XX
Mots-clés : topological quantum field theory, graphs on surfaces, topological Tutte polynomial, the Tutte golden identity 
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     author = {Fendley, Paul and Krushkal, Vyacheslav},
     title = {Topological quantum field theory and polynomial identities for graphs on the torus},
     journal = {Annales de l{\textquoteright}Institut Henri Poincar\'e D},
     pages = {277--298},
     volume = {10},
     number = {2},
     year = {2023},
     doi = {10.4171/aihpd/130},
     mrnumber = {4581444},
     zbl = {1530.57009},
     language = {en},
     url = {http://www.numdam.org/articles/10.4171/aihpd/130/}
}
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Fendley, Paul; Krushkal, Vyacheslav. Topological quantum field theory and polynomial identities for graphs on the torus. Annales de l’Institut Henri Poincaré D, Tome 10 (2023) no. 2, pp. 277-298. doi : 10.4171/aihpd/130. http://www.numdam.org/articles/10.4171/aihpd/130/

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