Skein modules of closed 3 manifolds define line bundles over character varieties
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866910773597437952 |
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| author | Korinman, Julien |
| author_facet | Korinman, Julien |
| contents | Let M be a closed 3-manifold and S(M) the skein module of M at some odd root of unity. Using the Frobenius morphism, we can see S(M) as the space of global sections of a coherent sheaf over the SL2 character scheme of M. We prove that when the character scheme is reduced, this sheaf is a line bundle. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_02617 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Skein modules of closed 3 manifolds define line bundles over character varieties Korinman, Julien Quantum Algebra Geometric Topology Let M be a closed 3-manifold and S(M) the skein module of M at some odd root of unity. Using the Frobenius morphism, we can see S(M) as the space of global sections of a coherent sheaf over the SL2 character scheme of M. We prove that when the character scheme is reduced, this sheaf is a line bundle. |
| title | Skein modules of closed 3 manifolds define line bundles over character varieties |
| topic | Quantum Algebra Geometric Topology |
| url | https://arxiv.org/abs/2501.02617 |