Knot state asymptotics. II: Witten conjecture and irreducible representations
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Publication:2354712
DOI10.1007/s10240-015-0069-xzbMath1325.57008arXiv1107.1646OpenAlexW2022130273WikidataQ123143414 ScholiaQ123143414MaRDI QIDQ2354712
Julien Marché, Laurent Charles
Publication date: 20 July 2015
Published in: Publications Mathématiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1107.1646
Reidemeister torsionDehn fillinggeometric quantizationTQFTfigure eight knotChern-Simons invariantcurve operator\(q\)-difference relationsasymptotic expansion conjecture
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Related Items (12)
On the Witten–Reshetikhin–Turaev invariants of torus bundles ⋮ Singular intersections of subgroups and character varieties ⋮ Distribution of Chern-Simons invariants ⋮ Resurgence analysis of quantum invariants of Seifert fibered homology spheres ⋮ The Witten-Reshetikhin-Turaev invariants of finite order mapping tori. II. ⋮ Asymptotic properties of the quantum representations of the mapping class group ⋮ Double affine Hecke algebras and generalized Jones polynomials ⋮ 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 ⋮ Circuit complexity of knot states in Chern-Simons theory ⋮ Asymptotic expansions of the Witten–Reshetikhin–Turaev invariants of mapping tori I ⋮ Toeplitz operators in TQFT via skein theory ⋮ Knot state asymptotics. I: AJ conjecture and abelian representations
Cites Work
- Unnamed Item
- Unnamed Item
- On the quantization of polygon spaces
- Symbolic calculus for Toeplitz operators with half-form
- Quantum field theory and the Jones polynomial
- Rigidity of hyperbolic cone-manifolds and hyperbolic Dehn surgery
- A duality theorem for Reidemeister torsion
- Computer calculation of Witten's 3-manifold invariant
- On quantum gauge theories in two dimensions
- Chern-Simons-Witten invariants of lens spaces and torus bundles, and the semiclassical approximation
- Some comments on Chern-Simons gauge theory
- Half density quantization of the moduli space of flat connections and Witten's semiclassical manifold invariants
- Modular forms and quantum invariants of \(3\)-manifolds
- Torsions of 3-dimensional manifolds
- Classical Chern-Simons theory. I
- Topological quantum field theories derived from the Kauffman bracket
- 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
- Knot state asymptotics. I: AJ conjecture and abelian representations
- An introduction to the volume conjecture and its generalizations
- Remarks on the cohomology of groups
- Representations of Knot Groups in SU(2)
- Reidemeister torsion, spectral sequences, and Brieskorn spheres.
- Torsion de Reidemeister pour les variétés hyperboliques
- Quasimodes and Bohr-Sommerfeld Conditions for the Toeplitz Operators
- ON THE QUANTUM INVARIANT FOR THE BRIESKORN HOMOLOGY SPHERES
- ASYMPTOTICS OF THE QUANTUM INVARIANTS FOR SURGERIES ON THE FIGURE 8 KNOT
- Whitehead torsion
- Über die Torsion einer Überdeckung.
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