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On the Volume Conjecture for hyperbolic Dehn-filled $3$-manifolds along the figure-eight knot
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abstract
Using Ohtsuki's method, we prove the Asymptotic Expansion Conjecture and the Volume Conjecture of the Reshetikhin-Turaev and the Turev-Viro invariants for all hyperbolic $3$-manifolds obtained by doing a Dehn-surgery along the figure-$8$ knot.
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Cited by 3 Pith papers
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Augmented links, shadow links, and the TV volume conjecture: a geometric perspective
Octahedral fully augmented link complements are isometric to fundamental shadow link complements, and the Turaev-Viro volume conjecture for these links is re-proved via a skein-theoretic coloured Jones formula.
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On the asymptotic expansion of quantum invariants related to surgeries of Whitehead link I: Relative Reshetikhin-Turaev invariants and the Turaev-Viro invariants at $e^{\frac{2\pi\sqrt{-1}}{N+\frac{1}{2}}}$
For rational surgeries on one component of the Whitehead link, the paper proves asymptotic expansions of the relative Reshetikhin-Turaev invariants and, under a large surgery coefficient condition, of the Turaev-Viro ...
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A Scalable System for Visual Analysis of Ocean Data
pyParaOcean is a ParaView-based visualization system with modules for eddy identification, salinity front tracking, depth profiles, and Cinema database overviews, validated by scaling studies on Bay of Bengal data.
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