Quantization of Teichmüller Spaces and the Quantum Dilogarithm |
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| Authors: | Kashaev R M |
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| Institution: | (1) Helsinki Institute of Physics, University of Helsinki, Helsinki, PO Box 9 (, Siltavuorenpenger 20 C), FIN-00014, Finland, e-mail |
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| Abstract: | The Teichmüller space of punctured surfaces with the Weil–Petersson symplectic structure and the action of the mapping class group is realized as the Hamiltonian reduction of a finite-dimensional symplectic space where the mapping class group acts by symplectic rational transformations. Upon quantization, the corresponding (projective) representation of the mapping class group is generated by the quantum dilogarithms. |
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| Keywords: | Teichmü ller spaces mapping class groups quantization |
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