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On Chen-Yang's volume conjecture for various quantum invariants - MaRDI portal

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On Chen-Yang's volume conjecture for various quantum invariants (Q2055079)

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scientific article; zbMATH DE number 7438863
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English
On Chen-Yang's volume conjecture for various quantum invariants
scientific article; zbMATH DE number 7438863

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    On Chen-Yang's volume conjecture for various quantum invariants (English)
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    3 December 2021
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    Summary: \textit{Q. Chen} and \textit{T. Yang} [Quantum Topol. 9, No. 3, 419--460 (2018; Zbl 1405.57020)] extended the volume conjecture of quantum \(\mathcal{U}_q(sl_2)\) invariants by putting \(q=\mathrm{exp}(4\pi i/r)\) instead of \(\mathrm{exp}(2\pi i/r)\) for odd \(r\) and they found that the conjecture holds not only for complements of knots but also for various hyperbolic three-manifolds. Here we show numerical verifications of several variations of their conjecture. For the entire collection see [Zbl 1466.57001].
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    volume conjecture
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    knot complement
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    hyperbolic 3-manifold
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    numerical verification
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