Cyclic Objects from Surfaces
In this paper, we endow the family of all closed genus ≥ 1 surfaces with a structure of a (co)cyclic object in the category of 3-dimensional cobordisms. As a corollary, any 3-dimensional TQFT induces a (co)cyclic module, which we compute algebraically for the Reshetikhin-Turaev TQFT.
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2025 |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут математики НАН України
2025
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/214172 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Cyclic Objects from Surfaces. Ivan Bartulović. SIGMA 21 (2025), 074, 44 pages |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | In this paper, we endow the family of all closed genus ≥ 1 surfaces with a structure of a (co)cyclic object in the category of 3-dimensional cobordisms. As a corollary, any 3-dimensional TQFT induces a (co)cyclic module, which we compute algebraically for the Reshetikhin-Turaev TQFT.
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| ISSN: | 1815-0659 |