dorsal/arxiv
View SchemaQuantization of Teichm\"uller spaces and the quantum dilogarithm
| Authors | R. M. Kashaev |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9705021 |
| URL | https://arxiv.org/abs/q-alg/9705021 |
Abstract
The Teichm\"uller 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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"abstract": "The Teichm\\\"uller space of punctured surfaces with the Weil-Petersson\nsymplectic structure and the action of the mapping class group is realized as\nthe Hamiltonian reduction of a finite dimensional symplectic space where the\nmapping class group acts by symplectic rational transformations. Upon\nquantization the corresponding (projective) representation of the mapping class\ngroup is generated by the quantum dilogarithms.",
"arxiv_id": "q-alg/9705021",
"authors": [
"R. M. Kashaev"
],
"categories": [
"q-alg",
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"title": "Quantization of Teichm\\\"uller spaces and the quantum dilogarithm",
"url": "https://arxiv.org/abs/q-alg/9705021"
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