Compact anti-de Sitter 3-manifolds and folded hyperbolic structures on surfaces

DOI10.2140/pjm.2015.275.325zbMath1346.57005arXiv1311.2804OpenAlexW3102402591MaRDI QIDQ2346531

Fanny Kassel, Maxime Wolff, Francçois Guéritaud

Publication date: 2 June 2015

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.2804

zbMATH Keywords

representations of surface groupsanti-de Sitter 3-manifoldsfolded hyperbolic structures

Mathematics Subject Classification ID

Topological methods in group theory (57M07) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Teichmüller theory for Riemann surfaces (30F60)

Related Items (9)

Margulis spacetimes via the arc complex ⋮ Dominating surface-group representations into \(\mathrm{PSL}_2 (\mathbb{C})\) in the relative representation variety ⋮ Almost strict domination and anti‐de Sitter 3‐manifolds ⋮ Domination results in n$n$‐Fuchsian fibers in the moduli space of Higgs bundles ⋮ Dominating CAT\((-1)\) surface group representations by Fuchsian ones ⋮ Infinite energy equivariant harmonic maps, domination, and anti-de Sitter \(3\)-manifolds ⋮ Proper affine actions for right-angled Coxeter groups ⋮ Physical measures for the geodesic flow tangent to a transversally conformal foliation ⋮ The modular action on \(\mathrm{PSL}_2(\mathbb{R})\)-characters in genus 2

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