Turaev-Viro invariant from the modular double of $\mathrm {U}_{q}\mathfrak{sl}(2;\mathbb R)$
Fuente:
arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866917104585801728 |
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| author | Liu, Tianyue Ming, Shuang Sun, Xin Wu, Baojun Yang, Tian |
| author_facet | Liu, Tianyue Ming, Shuang Sun, Xin Wu, Baojun Yang, Tian |
| contents | We define a family of Turaev-Viro type invariants of hyperbolic $3$-manifolds with totally geodesic boundary from the $6j$-symbols of the modular double of $\mathrm U_{q}\mathfrak{sl}(2;\mathbb R)$, and prove that these invariants decay exponentially with the rate the hyperbolic volume of the manifolds and with the $1$-loop term the adjoint twisted Reidemeister torsion of the double of the manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_05120 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Turaev-Viro invariant from the modular double of $\mathrm {U}_{q}\mathfrak{sl}(2;\mathbb R)$ Liu, Tianyue Ming, Shuang Sun, Xin Wu, Baojun Yang, Tian Geometric Topology Mathematical Physics Probability Quantum Algebra We define a family of Turaev-Viro type invariants of hyperbolic $3$-manifolds with totally geodesic boundary from the $6j$-symbols of the modular double of $\mathrm U_{q}\mathfrak{sl}(2;\mathbb R)$, and prove that these invariants decay exponentially with the rate the hyperbolic volume of the manifolds and with the $1$-loop term the adjoint twisted Reidemeister torsion of the double of the manifolds. |
| title | Turaev-Viro invariant from the modular double of $\mathrm {U}_{q}\mathfrak{sl}(2;\mathbb R)$ |
| topic | Geometric Topology Mathematical Physics Probability Quantum Algebra |
| url | https://arxiv.org/abs/2508.05120 |