Knot state asymptotics. I: AJ conjecture and abelian representations

DOI10.1007/s10240-015-0068-yzbMath1323.57007arXiv1107.1645OpenAlexW2058462186WikidataQ123332165 ScholiaQ123332165MaRDI QIDQ2354711

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/1107.1645

zbMATH Keywords

microsupporttorus knotsgeometric quantizationTQFTfigure eight knotWitten-Reshetikhin-Turaev invariantslens spacesAJ conjectureMelvin-Morton-Rozansky conjecturecurve operatorq-difference relations

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Topological quantum field theories (aspects of differential topology) (57R56) Eta-invariants, Chern-Simons invariants (58J28) Geometric quantization (53D50)

Related Items

Turaev-Viro invariants, colored Jones polynomials, and volume, Spectral asymptotics of semiclassical unitary operators, 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, The strong AJ conjecture for the figure 8 knot, Double affine Hecke algebras and generalized Jones polynomials, 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. II: Witten conjecture and irreducible representations

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