Quantum Teichmüller space and Kashaev algebra

DOI10.2140/agt.2009.9.1791zbMath1181.57034arXiv0905.0895OpenAlexW3099956553MaRDI QIDQ731426

Xiaobo Liu, Ren Guo

Publication date: 6 October 2009

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.0895

zbMATH Keywords

Teichmüller spacequantizationnoncommutative algebraKashaev coordinatesPenner coordinates

Mathematics Subject Classification ID

Topological quantum field theories (aspects of differential topology) (57R56) General geometric structures on low-dimensional manifolds (57M50) Quantum groups (quantized function algebras) and their representations (20G42)

Related Items

Quantum Teichmüller space from the quantum plane ⋮ Irreducible decomposition for local representations of quantum Teichmüller space ⋮ Quantum traces for representations of surface groups in SL\(_{2}(\mathbb C)\) ⋮ \( {\text{SL}}\left( {2,\mathbb{R}} \right) \) Chern-Simons, Liouville, and gauge theory on duality walls ⋮ Solving Thurston's equation in a commutative ring ⋮ Classical and quantum Teichmüller spaces ⋮ The dilogarithmic central extension of the Ptolemy-Thompson group via the Kashaev quantization

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