The dilogarithmic central extension of the Ptolemy-Thompson group via the Kashaev quantization

DOI10.1016/j.aim.2016.02.016zbMath1343.57003arXiv1211.4300OpenAlexW1942341239MaRDI QIDQ261188

Hyun Kyu Kim

Publication date: 22 March 2016

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.4300

zbMATH Keywords

braided Ptolemy-Thompson groupinfinite braid groupKashaev quantizationPtolemy-Thompson groupquantum Teichmüller theorystable braid groupThompson group \(T\)universal Teichmüller space

Mathematics Subject Classification ID

Related Items (6)

Finite dimensional quantum Teichmüller space from the quantum torus at root of unity ⋮ Ratio coordinates for higher Teichmüller spaces ⋮ Central extension of mapping class group via Chekhov-Fock quantization ⋮ Irreducible self-adjoint representations of quantum Teichmüller space and the phase constants ⋮ Three-dimensional quantum gravity from the quantum pseudo-Kähler plane ⋮ Phase constants in the Fock-Goncharov quantum cluster varieties

Cites Work

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• Ratio coordinates for higher Teichmüller spaces
• Central extension of mapping class group via Chekhov-Fock quantization
• Quantum Teichmüller space from the quantum plane
• Quantum Teichmüller space and Kashaev algebra
• The quantum dilogarithm and representations of quantum cluster varieties
• The decorated Teichmüller space of punctured surfaces
• Sur un groupe remarquable de difféomorphismes du cercle. (On a remarkable group of the diffeomorphisms of the circle)
• Planar graphs and presentations of braid groups
• Quantization of Teichmüller spaces and the quantum dilogarithm
• Braids on surfaces and finite type invariants.
• Discrete Heisenberg-Weyl group and modular group
• Phase constants in the Fock-Goncharov quantum cluster varieties
• Universal constructions in Teichmüller theory
• Centrally extended mapping class groups from quantum Teichmüller theory
• The braided Ptolemy-Thompson group is finitely presented.
• Moduli spaces of local systems and higher Teichmüller theory
• Asymptotically rigid mapping class groups and Thompson's groups
• Central extensions of the Ptolemy-Thompson group and quantized Teichmüller theory
• QUANTUM DILOGARITHM
• A quantum Teichmüller space

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