Quantization of Teichmüller Spaces and the Quantum Dilogarithm
Quantization of Teichmüller Spaces and the Quantum Dilogarithm
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Teichmüller 空间的量化和量子双对数
DOI：
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发表时间：
1997
期刊：
影响因子：
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通讯作者：
R. Kashaev
中科院分区：
文献类型：
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作者：
R. Kashaev
具有Weil-Petersson辛结构的穿孔曲面的teichmller空间和映射类群的作用是通过辛有理变换实现的有限维辛空间的哈密顿约简。在量化之后，映射类群的对应（射影）表示由量子二对数生成。
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.