Extension Theory and Fermionic Strongly Fusion 2-Categories (with an Appendix by Thibault Didier Décoppet and Theo Johnson-Freyd)
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909352222261248 |
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| author | Décoppet, Thibault Didier |
| author_facet | Décoppet, Thibault Didier |
| contents | We study group graded extensions of fusion 2-categories. As an application, we obtain a homotopy theoretic classification of fermionic strongly fusion 2-categories. We examine various examples in detail. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_03211 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Extension Theory and Fermionic Strongly Fusion 2-Categories (with an Appendix by Thibault Didier Décoppet and Theo Johnson-Freyd) Décoppet, Thibault Didier Category Theory Quantum Algebra 18M20, 18N25 We study group graded extensions of fusion 2-categories. As an application, we obtain a homotopy theoretic classification of fermionic strongly fusion 2-categories. We examine various examples in detail. |
| title | Extension Theory and Fermionic Strongly Fusion 2-Categories (with an Appendix by Thibault Didier Décoppet and Theo Johnson-Freyd) |
| topic | Category Theory Quantum Algebra 18M20, 18N25 |
| url | https://arxiv.org/abs/2403.03211 |