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.
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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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.