Dual Teichmuller and lamination spaces
Dual Teichmuller and lamination spaces
复制标题
双 Teichmuller 和层压空间
DOI：
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发表时间：
2005
期刊：
影响因子：
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通讯作者：
A. Goncharov
中科院分区：
文献类型：
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作者：
V. Fock;A. Goncharov
我们调查了两个（A和X）版本的Teichmuller和层压空间的明确坐标描述，并将其扩展到更一般的曲面设置，边界上有不同的点集合。这些术语描述了映射类群作用、泊松和辛结构等主要特征。层压空间被解释为Teichmuller空间的热带边界。构造了层合空间和Teichmuller空间之间的正则配对。
We survey explicit coordinate descriptions for two (A and X) versions of Teichmuller and lamination spaces for open 2D surfaces, and extend them to the more general set-up of surfaces with distinguished collections of points on the boundary. Main features, such as mapping class group action, Poisson and symplectic structures and others, are described in these terms. The lamination spaces are interpreted as the tropical limits of the Teichmuller ones. Canonical pairings between lamination and Teichmuller spaces are constructed.
The paper could serve as an introduction to higher Teichmuller theory developed by the authors in math.AG/0311149, math.AG/0311245.