Para-HyperKahler Geometry of the Deformation Space of Maximal Globally Hyperbolic Anti-de Sitter Three-Manifolds

Filippo Mazzoli, University of California Riverside, California. Andrea Seppi, Universita degli Studi di Torino, Turin, Italy. Andrea Tamburelli, University of Pisa, Italy.

Chapters 1. Introduction 2. Preliminaries on Anti-de Sitter geometry 3. The toy model: Genus 1 4. The general case: Genus $\geq 2$ 5. Geometric interpretations 6. Symplectic reduction A. Para-complex geometry