English

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

Geometric Topology 2021-05-07 v1 Differential Geometry Representation Theory

Abstract

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.

Keywords

Cite

@article{arxiv.1906.03715,
  title  = {Fenchel-Nielsen coordinates on the augmented moduli space of anti-de Sitter structures},
  author = {Andrea Tamburelli},
  journal= {arXiv preprint arXiv:1906.03715},
  year   = {2021}
}

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26 pages