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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| Published in: | Annales de l'Institut Henri Poincaré. D. Combinatorics, physics and their interactions Vol. 10; no. 2; pp. 277 - 298 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
| Published: |
28.04.2023
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| ISSN: | 2308-5827, 2308-5835 |
| Online Access: | Get full text |
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| Summary: | 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 |