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<

DOI10.2206/kyushujm.74.265zbMath1472.57022OpenAlexW3111966250MaRDI QIDQ4995435

Toshie Takata, Rika Tanaka

Publication date: 24 June 2021

Published in: Kyushu Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2206/kyushujm.74.265

zbMATH Keywords

Reidemeister torsionquantum invariantChern-Simons invariant

Mathematics Subject Classification ID

Finite-type and quantum invariants, topological quantum field theories (TQFT) (57K16) Knot theory (57K10) Invariants of 3-manifolds (including skein modules, character varieties) (57K31)

Cites Work

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• The Witten-Reshetikhin-Turaev invariant for links in finite order mapping tori. I.
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• Chern-Simons-Witten invariants of lens spaces and torus bundles, and the semiclassical approximation
• Volume conjectures for the Reshetikhin-Turaev and the Turaev-Viro invariants
• A large \(k\) asymptotics of Witten's invariant of Seifert manifolds
• Residue formulas for the large \(k\) asymptotics of Witten's invariants of Seifert manifolds. The case of \(SU(2)\)
• Invariants of 3-manifolds via link polynomials and quantum groups
• 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
• The Witten–Reshetikhin–Turaev invariants of finite order mapping tori I
• ON THE QUANTUM INVARIANT FOR THE BRIESKORN HOMOLOGY SPHERES
• ASYMPTOTICS OF THE QUANTUM INVARIANTS FOR SURGERIES ON THE FIGURE 8 KNOT

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