On the asymptotic expansion of the quantum SU(2) invariant at \(q =exp(4{\pi}\sqrt{-1}/N\)) for closed hyperbolic 3-manifolds obtained by integral surgery along the figure-eight knot

DOI10.2140/agt.2018.18.4187zbMath1490.57021OpenAlexW2904918811MaRDI QIDQ1713059

Tomotada Ohtsuki

Publication date: 24 January 2019

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/agt.2018.18.4187

zbMATH Keywords

knot3-manifoldquantum invariantvolume conjecture

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Finite-type and quantum invariants, topological quantum field theories (TQFT) (57K16) Invariants of 3-manifolds (including skein modules, character varieties) (57K31) Hyperbolic 3-manifolds (57K32)

Related Items (14)

Growth of quantum \(6j\)-symbols and applications to the volume conjecture ⋮ Cosets of monodromies and quantum representations ⋮ Relative Reshetikhin-Turaev invariants, hyperbolic cone metrics and discrete Fourier transforms. I ⋮ A relative version of the Turaev–Viro invariants and the volume of hyperbolic polyhedral 3‐manifolds ⋮ Geometric triangulations and the Teichmüller TQFT volume conjecture for twist knots ⋮ A quantum invariant of links in \(T^2\times I\) with volume conjecture behavior ⋮ The volume conjecture for polyhedra implies the Stoker conjecture ⋮ Asymptotics of quantum \(6j\) symbols ⋮ Reciprocity of the Chern-Simons invariants of 3-manifolds ⋮ Quantum invariants of three-manifolds obtained by surgeries along torus knots ⋮ All-order volume conjecture for closed 3-manifolds from complex Chern-Simons theory ⋮ Recent progresses on the volume conjectures for Reshetikhin-Turaev and Turaev-Viro invariants ⋮ Fundamental shadow links realized as links in \(S^3\) ⋮ On the quantum \(\mathrm{SU}(2)\) invariant at \(q= \exp (4\pi \sqrt{-1}/N)\) and the twisted Reidemeister torsion for some closed 3-manifolds

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