The Witten-Reshetikhin-Turaev invariants of finite order mapping tori. II.

DOI10.4171/QT/33zbMath1260.57024arXiv1107.1813MaRDI QIDQ436027

Jørgen Ellegaard Andersen, Benjamin Himpel

Publication date: 13 July 2012

Published in: Quantum Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.1813

zbMATH Keywords

asymptoticssemiclassical approximationeta invariantReidemeister torsion\(\rho\)-invariantspectral flow.Witten-Reshetikin-Turaev quantum invariant

Mathematics Subject Classification ID

Topological quantum field theories (aspects of differential topology) (57R56) Eta-invariants, Chern-Simons invariants (58J28) Geometric quantization (53D50)

Related Items

On the Witten–Reshetikhin–Turaev invariants of torus bundles ⋮ The Witten-Reshetikhin-Turaev invariant for links in finite order mapping tori. I. ⋮ Modular transformations of homological blocks for Seifert fibered homology 3-spheres ⋮ Modular functors are determined by their genus zero data ⋮ Quantum invariants of three-manifolds obtained by surgeries along torus knots ⋮ Construction of the Witten-Reshetikhin-Turaev TQFT from conformal field theory ⋮ Symplectic quantum mechanics and Chern-Simons gauge theory. I ⋮ Symplectic quantum mechanics and Chern-Simons gauge theory. II. Mapping tori of tori ⋮ 3d-3d correspondence for mapping tori ⋮ A TQFT from quantum Teichmüller theory ⋮ Geometric quantization of symplectic maps and Witten's asymptotic conjecture ⋮ 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 ⋮ Asymptotic expansions of the Witten–Reshetikhin–Turaev invariants of mapping tori I ⋮ From simplicial Chern-Simons theory to the shadow invariant I ⋮ 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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