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Fenchel–Nielsen coordinates on the augmented moduli space of anti-de Sitter structures

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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.

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  1. Department of Mathematics, Rice university, Houston, USA

    Andrea Tamburelli

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  1. Andrea Tamburelli
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Correspondence to Andrea Tamburelli.

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Tamburelli, A. Fenchel–Nielsen coordinates on the augmented moduli space of anti-de Sitter structures. Math. Z. 297, 1397–1419 (2021). https://doi.org/10.1007/s00209-020-02562-0

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  • DOI: https://doi.org/10.1007/s00209-020-02562-0

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