Graded spherical skein 2+1-G-HQFT and modified Turaev-Viro invariants
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
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| _version_ | 1866917360104898560 |
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| author | Costantino, Francesco Geer, Nathan Haïoun, Benjamin Patureau-Mirand, Bertrand |
| author_facet | Costantino, Francesco Geer, Nathan Haïoun, Benjamin Patureau-Mirand, Bertrand |
| contents | For G a group, we present a G-graded version of chromatic maps and skein modules and use them to define a 2+1-G-HQFT out of a G-chromatic category. The construction applies to the representations of unrestricted quantum groups at root of unity and recovers the modified Turaev-Viro 3-dimensional invariants. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_23440 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Graded spherical skein 2+1-G-HQFT and modified Turaev-Viro invariants Costantino, Francesco Geer, Nathan Haïoun, Benjamin Patureau-Mirand, Bertrand Quantum Algebra Geometric Topology For G a group, we present a G-graded version of chromatic maps and skein modules and use them to define a 2+1-G-HQFT out of a G-chromatic category. The construction applies to the representations of unrestricted quantum groups at root of unity and recovers the modified Turaev-Viro 3-dimensional invariants. |
| title | Graded spherical skein 2+1-G-HQFT and modified Turaev-Viro invariants |
| topic | Quantum Algebra Geometric Topology |
| url | https://arxiv.org/abs/2603.23440 |