Coordinates for Quasi-Fuchsian Punctured Torus Space
Coordinates for Quasi-Fuchsian Punctured Torus Space
复制标题
准紫红色刺穿环面空间的坐标
DOI：
10.2140/gtm.1998.1.451
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发表时间：
1998
期刊：
影响因子：
--
通讯作者：
Jouni Parkkonen
中科院分区：
文献类型：
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作者：
J. Parker;Jouni Parkkonen
我们考虑复Fenchel{Nielsen坐标的准Fuchsian空间的穿孔环面。这些坐标产生于克拉的管道建设的概括，并与Teichmuller空间的地震有关。它们还允许我们在Teichmuller空间上的两个坐标系之间插值，即具有Fenchel{Nielsen坐标和Maskit嵌入的经典Fuchsian空间。我们还展示了它们如何与Keen和Series的褶皱坐标相关。AMS分类20 H10; 32 G15
We consider complex Fenchel{Nielsen coordinates on the quasi-Fuchsian space of punctured tori. These coordinates arise from a generalisation of Kra’s plumbing construction and are related to earthquakes on Teichmuller space. They also allow us to interpolate between two coordinate systems on Teichmuller space, namely the classical Fuchsian space with Fenchel{Nielsen coordinates and the Maskit embedding. We also show how they relate to the pleating coordinates of Keen and Series. AMS Classi cation 20H10; 32G15