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

## TL;DR

This paper develops a new coordinate system for the augmented moduli space of anti-de Sitter structures, combining recent work with classical theory to enhance understanding of these geometric structures.

## Contribution

It introduces a Fenchel-Nielsen type coordinate system for the augmented moduli space of anti-de Sitter structures, bridging modern and classical approaches.

## Key findings

- Defined an augmented moduli space for anti-de Sitter structures.
- Introduced Fenchel-Nielsen type coordinates for this space.
- Connected modern and classical geometric theories.

## 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.