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| Format: | Preprint |
| Publié: |
2023
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| Accès en ligne: | https://arxiv.org/abs/2306.07216 |
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| _version_ | 1866916936287256576 |
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| author | Bartulović, Ivan |
| author_facet | Bartulović, Ivan |
| contents | In this paper, we endow the family of all closed genus $g \ge 1$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_07216 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Cyclic Objects from Surfaces Bartulović, Ivan Geometric Topology Quantum Algebra 18N50, 57K16 In this paper, we endow the family of all closed genus $g \ge 1$ 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. |
| title | Cyclic Objects from Surfaces |
| topic | Geometric Topology Quantum Algebra 18N50, 57K16 |
| url | https://arxiv.org/abs/2306.07216 |