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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| Jazyk: | English |
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Cornell University Library, arXiv.org
27.01.2020
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| ISSN: | 2331-8422 |
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| Abstract | 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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| AbstractList | 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. |
| Author | Krushkal, Vyacheslav Fendley, Paul |
| Author_xml | – sequence: 1 givenname: Paul surname: Fendley fullname: Fendley, Paul – sequence: 2 givenname: Vyacheslav surname: Krushkal fullname: Krushkal, Vyacheslav |
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| Copyright | 2020. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. |
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| DOI | 10.48550/arxiv.1902.02760 |
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| Snippet | We establish a relation between the trace evaluation in SO(3) topological quantum field theory and evaluations of a topological Tutte polynomial. As an... |
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| SubjectTerms | Field theory Graphs Polynomials Quantum field theory Quantum theory Toruses |
| Title | Topological quantum field theory and polynomial identities for graphs on the torus |
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