On the quantum Teichmüller invariants of fibred cusped 3-manifolds

DOI10.1007/s10711-017-0315-0zbMath1479.57030OpenAlexW2962785286MaRDI QIDQ1622896

Stéphane Baseilhac, Riccardo Benedetti

Publication date: 21 November 2018

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11568/889913

zbMATH Keywords

quantum Teichmüller spacelocal representationsfibred hyperbolic cusped 3-manifoldsquantum hyperbolic invariants

Mathematics Subject Classification ID

Topological quantum field theories (aspects of differential topology) (57R56) Finite-type and quantum invariants, topological quantum field theories (TQFT) (57K16)

Related Items (3)

Unrestricted quantum moduli algebras. I: The case of punctured spheres ⋮ Unnamed Item ⋮ Ideal triangulations of 3‐manifolds up to decorated transit equivalences

Cites Work

• Analytic families of quantum hyperbolic invariants
• A birationality result for character varieties
• Taut ideal triangulations of \(3\)-manifolds
• Non ambiguous structures on 3-manifolds and quantum symmetry defects
• Quantum hyperbolic invariants of 3-manifolds with PSL\((2,\mathbb C)\)-characters
• Classical and quantum dilogarithmic invariants of flat \(\text{PSL}(2,\mathbb C)\)-bundles over 3-manifolds
• Quantum Teichmüller spaces and Kashaev's \(6j\)-symbols
• Representations of the quantum Teichmüller space and invariants of surface diffeomorphisms
• A uniqueness property for the quantization of Teichmüller spaces
• QUANTUM DILOGARITHM

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