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.
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
| Published: |
European Mathematical Society Publishing House
2022
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| _version_ | 1797110256165191680 |
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| author | Fendley, PR Krushkal, V |
| author_facet | Fendley, PR Krushkal, V |
| author_sort | Fendley, PR |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-07T07:52:27Z |
| format | Journal article |
| id | oxford-uuid:166588b5-cd40-4621-9b96-cc0c37095916 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T07:52:27Z |
| publishDate | 2022 |
| publisher | European Mathematical Society Publishing House |
| record_format | dspace |
| spelling | oxford-uuid:166588b5-cd40-4621-9b96-cc0c370959162023-07-26T07:58:15ZTopological quantum field theory and polynomial identities for graphs on the torusJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:166588b5-cd40-4621-9b96-cc0c37095916EnglishSymplectic ElementsEuropean Mathematical Society Publishing House2022Fendley, PRKrushkal, VWe 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. |
| spellingShingle | Fendley, PR Krushkal, V Topological quantum field theory and polynomial identities for graphs on the torus |
| title | Topological quantum field theory and polynomial identities for graphs on the torus |
| title_full | Topological quantum field theory and polynomial identities for graphs on the torus |
| title_fullStr | Topological quantum field theory and polynomial identities for graphs on the torus |
| title_full_unstemmed | Topological quantum field theory and polynomial identities for graphs on the torus |
| title_short | Topological quantum field theory and polynomial identities for graphs on the torus |
| title_sort | topological quantum field theory and polynomial identities for graphs on the torus |
| work_keys_str_mv | AT fendleypr topologicalquantumfieldtheoryandpolynomialidentitiesforgraphsonthetorus AT krushkalv topologicalquantumfieldtheoryandpolynomialidentitiesforgraphsonthetorus |