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

DOI10.1007/s00220-019-03489-2zbMath1441.57011OpenAlexW3000921997MaRDI QIDQ2314433

Toshie Takata, Tomotada Ohtsuki

Publication date: 22 July 2019

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-019-03489-2

zbMATH Keywords

asymptotic expansionknotReidemeister torsionquantum invarianthyperbolic manifoldsChern-Simons invariant

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Finite-type and quantum invariants, topological quantum field theories (TQFT) (57K16)

Related Items

Quantum invariants of three-manifolds obtained by surgeries along torus knots ⋮ ON THE ASYMPTOTIC EXPANSION OF THE QUANTUM SU(2)<i> </i>INVARIANT AT <i>ζ =</i> <i>e</i>⁴<i>^πi/r</i>FOR LENS SPACE <i>L</I> (<i>p, q</i>)

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