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 invariants, with leading term governed by hyperbolic complex volume.
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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 invariants, with leading term governed by hyperbolic complex volume.