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arXiv · 1901.00129

Wild 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 wild globally hyperbolic anti-de Sitter structures on $Σ\times \mathbb{R}$ and provide two parameterisations of their deformation space: as a quotient of the product of two copies of the Teichmüller space of crowned hyperbolic surfaces and as the bundle over the Teichmüller space of $Σ$ of meromorphic quadratic differentials with poles of order at least $3$ at the punctures.

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Andrea Tamburelli. 2019-01-01. Wild globally hyperbolic maximal anti-de Sitter structures. https://doi.org/10.1112/jlms.12370

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