Dominating Surface Group Representations by Fuchsian Ones

DOI10.1093/imrn/rnv275zbMath1404.53046arXiv1311.2919OpenAlexW1557651668WikidataQ125879363 ScholiaQ125879363MaRDI QIDQ4560470

Nicolas Tholozan, Bertrand Deroin

Publication date: 12 December 2018

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.2919

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (18)

Margulis spacetimes via the arc complex ⋮ Perspectives on the asymptotic geometry of the Hitchin moduli space ⋮ Harmonic maps for Hitchin representations ⋮ Dominating surface-group representations into \(\mathrm{PSL}_2 (\mathbb{C})\) in the relative representation variety ⋮ AdS 3-manifolds and Higgs bundles ⋮ 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 ⋮ Nonlinear descent on moduli of local systems ⋮ Physical measures for the geodesic flow tangent to a transversally conformal foliation ⋮ The geometry of maximal representations of surface groups into \(\mathrm{SO}_0(2,n)\) ⋮ Moduli spaces of Higgs bundles - old and new ⋮ Surface groups acting on spaces ⋮ Anti-de Sitter Geometry and Teichmüller Theory ⋮ On cyclic Higgs bundles ⋮ On type-preserving representations of thrice punctured projective plane group

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