Phase constants in the Fock-Goncharov quantum cluster varieties

DOI10.1007/s13324-020-00439-3zbMath1462.53081arXiv1602.00797OpenAlexW3107235097MaRDI QIDQ2220137

Hyun Kyu Kim

Publication date: 21 January 2021

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.00797

zbMATH Keywords

mutationmapping class group representationsquantum dilogarithm functioncluster variety of Fock and Goncharov

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Geometric quantization (53D50) Polylogarithms and relations with (K)-theory (11G55) Cluster algebras (13F60)

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Irreducible self-adjoint representations of quantum Teichmüller space and the phase constants, Three-dimensional quantum gravity from the quantum pseudo-Kähler plane, The dilogarithmic central extension of the Ptolemy-Thompson group via the Kashaev quantization

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