Parametrization of Teichmuller space by trace functions and action of mapping class group
Parametrization of Teichmuller space by trace functions and action of mapping class group
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通过跟踪函数和映射类组的作用对 Teichmuller 空间进行参数化
DOI：
10.1090/ecgd/289
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发表时间：
2016
影响因子：
0.6
通讯作者：
Gou Nakamura and Toshihiro Nakanishi
中科院分区：
文献类型：
--
作者：
Yukino Tomizawa;Ken-Ichi Mitani;Kichi-Suke Saito;Ryotaro Tanaka;Yuzuru Inahama;瀬戸 道生;Takeo Ohsawa;Gou Nakamura and Toshihiro Nakanishi
我们给出了一组迹函数，它们给出了具有长度为测地线边界分量的亏格的双曲曲面的Teichmüler空间的整体参数化，…使得映射类群在Teichmüler空间上的作用可以用参数的有理变换来表示。参考文献
We give a set of trace functions which give a global parametrization of the Teichmüller spaceof hyperbolic surfaces of genuswithgeodesic boundary components of lengths,…,such that the action of the mapping class group on the Teichmüller space can be represented by rational transformations in the parameters. References