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| Format: | Preprint |
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2021
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| Online Access: | https://arxiv.org/abs/2107.05914 |
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| _version_ | 1866912505968721920 |
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| author | Guu, Jin-Cheng |
| author_facet | Guu, Jin-Cheng |
| contents | Many quantum invariants of knots and 3-manifolds (e.g. Jones polynomials) are special cases of the Witten-Reshetikhin-Turaev 3D TQFT. The latter is in turn a part of a larger theory - the Crane-Yetter 4D TQFT. In this work, we compute the Crane-Yetter theory for all (smooth and oriented) surfaces with at least one puncture. The results in general are constructed and called the categorical center of higher genera. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2107_05914 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Categorical Center of Higher Genera and 4D Factorization Homology Guu, Jin-Cheng Quantum Algebra Mathematical Physics Many quantum invariants of knots and 3-manifolds (e.g. Jones polynomials) are special cases of the Witten-Reshetikhin-Turaev 3D TQFT. The latter is in turn a part of a larger theory - the Crane-Yetter 4D TQFT. In this work, we compute the Crane-Yetter theory for all (smooth and oriented) surfaces with at least one puncture. The results in general are constructed and called the categorical center of higher genera. |
| title | Categorical Center of Higher Genera and 4D Factorization Homology |
| topic | Quantum Algebra Mathematical Physics |
| url | https://arxiv.org/abs/2107.05914 |