The skein partition function of the mapping torus
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866909920901726208 |
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| author | Bierent, Julia Jordan, David Vancraeynest, Matthias Vazirani, Monica |
| author_facet | Bierent, Julia Jordan, David Vancraeynest, Matthias Vazirani, Monica |
| contents | We compute the dimensions of $\text{GL}_N$-skein modules of genus-one mapping tori $T^2\times_γS^1$, for an arbitrary diffeomorphism of $T^2$, and for generic quantum parameter. These are most cleanly expressed via a generating function over all $N$, which we dub the skein partition function, and for which we compute an explicit Euler product expansion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_19139 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The skein partition function of the mapping torus Bierent, Julia Jordan, David Vancraeynest, Matthias Vazirani, Monica Quantum Algebra Algebraic Geometry Geometric Topology Representation Theory 57K31, 57K16, 57R56 (Primary), 57R22, 16E40 (Secondary) We compute the dimensions of $\text{GL}_N$-skein modules of genus-one mapping tori $T^2\times_γS^1$, for an arbitrary diffeomorphism of $T^2$, and for generic quantum parameter. These are most cleanly expressed via a generating function over all $N$, which we dub the skein partition function, and for which we compute an explicit Euler product expansion. |
| title | The skein partition function of the mapping torus |
| topic | Quantum Algebra Algebraic Geometry Geometric Topology Representation Theory 57K31, 57K16, 57R56 (Primary), 57R22, 16E40 (Secondary) |
| url | https://arxiv.org/abs/2511.19139 |