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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2211.13700 |
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| _version_ | 1866915279650422784 |
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| author | Karuo, Hiroaki Korinman, Julien |
| author_facet | Karuo, Hiroaki Korinman, Julien |
| contents | We compute the Azumaya loci of Kauffman-bracket skein algebras of closed surfaces at odd roots of unity and provide partial results for open surfaces as well. As applications, we give an alternative definition of the projective representations of the Torelli groups derived from non-semisimple TQFTs and we strengthen a result by Frohman-Kania Bartoszynska-Lê about the dimensions of some quotients of the skein modules of closed 3-manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_13700 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Azumaya loci of skein algebras Karuo, Hiroaki Korinman, Julien Quantum Algebra We compute the Azumaya loci of Kauffman-bracket skein algebras of closed surfaces at odd roots of unity and provide partial results for open surfaces as well. As applications, we give an alternative definition of the projective representations of the Torelli groups derived from non-semisimple TQFTs and we strengthen a result by Frohman-Kania Bartoszynska-Lê about the dimensions of some quotients of the skein modules of closed 3-manifolds. |
| title | Azumaya loci of skein algebras |
| topic | Quantum Algebra |
| url | https://arxiv.org/abs/2211.13700 |