In this paper we combine our recent work on regular globally hyperbolic maximal anti-de Sitter structures with the classical theory of globally hyperbolic maximal Cauchy-compact anti-de Sitter manifolds in order to define an augmented moduli space. Moreover, we introduce a coordinate system in this space that resembles the complex Fenchel-Nielsen coordinates for hyperbolic quasi-Fuchsian manifolds.

中文翻译：

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Fenchel-Nielsen 坐标在反德西特结构的增广模空间上

在本文中，我们将我们最近在规则全局双曲极大反德西特结构上的工作与全局双曲极大柯西紧反德西特流形的经典理论相结合，以定义增广模空间。此外，我们在这个空间中引入了一个坐标系，类似于双曲准 Fuchsian 流形的复 Fenchel-Nielsen 坐标。