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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| Vydáno v: | Annales de l'Institut Henri Poincaré. D. Combinatorics, physics and their interactions Ročník 10; číslo 2; s. 277 - 298 |
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| Hlavní autoři: | , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
28.04.2023
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| ISSN: | 2308-5827, 2308-5835 |
| On-line přístup: | Získat plný text |
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| Shrnutí: | 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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| ISSN: | 2308-5827 2308-5835 |
| DOI: | 10.4171/aihpd/130 |