Chromatic maps for finite tensor categories
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866914755853156352 |
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| author | Costantino, Francesco Geer, Nathan Patureau-Mirand, Bertrand Virelizier, Alexis |
| author_facet | Costantino, Francesco Geer, Nathan Patureau-Mirand, Bertrand Virelizier, Alexis |
| contents | Chromatic maps for spherical tensor categories are instrumental tools to construct (non semisimple) invariants of 3-manifolds and their extension to (non compact) (2+1)-TQFTs. In this paper, we introduce left and right chromatic maps for finite tensor categories and prove that such maps always exist. As a corollary, we obtain that any spherical finite tensor category has a chromatic map. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_14626 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Chromatic maps for finite tensor categories Costantino, Francesco Geer, Nathan Patureau-Mirand, Bertrand Virelizier, Alexis Quantum Algebra 18M05, 57K31, 57K16 Chromatic maps for spherical tensor categories are instrumental tools to construct (non semisimple) invariants of 3-manifolds and their extension to (non compact) (2+1)-TQFTs. In this paper, we introduce left and right chromatic maps for finite tensor categories and prove that such maps always exist. As a corollary, we obtain that any spherical finite tensor category has a chromatic map. |
| title | Chromatic maps for finite tensor categories |
| topic | Quantum Algebra 18M05, 57K31, 57K16 |
| url | https://arxiv.org/abs/2305.14626 |