Geometrisation of purely hyperbolic representations in \(\mathrm{PSL}_2\mathbb{R}\)

DOI10.1515/advgeom-2020-0025zbMath1462.57030arXiv1712.03510OpenAlexW3125710083WikidataQ115514513 ScholiaQ115514513MaRDI QIDQ2664127

Gianluca Faraco

Publication date: 20 April 2021

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.03510

zbMATH Keywords

surfaceholonomybranched hyperbolic structure

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50)

Related Items (1)

Sobolev homeomorphisms with gradients of low rank via laminates

Cites Work

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• The modular action on \(\mathrm{PSL}_2(\mathbb{R})\)-characters in genus 2
• Hyperbolic cone-manifold structures with prescribed holonomy. II: Higher genus
• Projective structures with Fuchsian holonomy
• Topological components of spaces of representations
• Deformation of maps to branched coverings in dimension two
• Branched \(\mathbb{C} P^ 1\)-structures on surfaces with prescribed real holonomy
• The monodromy groups of Schwarzian equations on closed Riemann surfaces
• Three-dimensional orbifolds and cone-manifolds
• Branched projective structures with Fuchsian holonomy
• Non-injective representations of a closed surface group into PSL(2, )

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