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arXiv · 1806.08176

Regular globally hyperbolic maximal anti-de Sitter structures

Andrea Tamburelli
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Abstract

Let $Σ$ be a connected, oriented surface with punctures and negative Euler characteristic. We introduce regular globally hyperbolic anti-de Sitter structures on $Σ\times \mathbb{R}$ and provide two parameterisations of their deformation space: as an enhanced product of two copies of the Fricke space of $Σ$ and as the bundle over the Teichmüller space of $Σ$ whose fibre consists of meromorphic quadratic differentials with poles of order at most $2$ at the punctures.

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Andrea Tamburelli. 2018-06-21. Regular globally hyperbolic maximal anti-de Sitter structures. https://doi.org/10.1112/topo.12142

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