Connected components of the compactification of representation spaces of surface groups

DOI10.2140/gt.2011.15.1225zbMath1226.57027arXiv0802.0512OpenAlexW1989123357WikidataQ125944169 ScholiaQ125944169MaRDI QIDQ633898

Maxime Wolff

Publication date: 2 August 2011

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.0512

zbMATH Keywords

Euler classsurface groupThurston's compactificationequivariant Gromov topology

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) General geometric structures on low-dimensional manifolds (57M50) Teichmüller theory for Riemann surfaces (30F60)

Related Items (5)

Flat geodesic laminations ⋮ Valuations on the character variety: Newton polytopes and residual Poisson bracket ⋮ Boundary of the Gothen components ⋮ Geometric compactification of moduli spaces of half-translation structures on surfaces ⋮ The real spectrum compactification of character varieties: characterizations and applications

Cites Work

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• On generalised free products
• Varieties of group representations and splittings of 3-manifolds
• The symplectic nature of fundamental groups of surfaces
• Valuations, trees, and degenerations of hyperbolic structures. I
• Group actions on trees and the compactification of the space of classes of SO(n,1)-representations
• Classe d'Euler et minimal exceptionnel
• Degenerations of the hyperbolic space
• Topological components of spaces of representations
• Topologie de Gromov équivariante, structures hyperboliques et arbres réels. (Equivariant Gromov topology, hyperbolic structures, and \({\mathbb{R}}\)-trees)
• The Gromov topology on \({\mathbb{R}}\)-trees
• Géométrie et théorie des groupes. Les groupes hyperboliques de Gromov. (Geometry and group theory. The hyperbolic groups of Gromov)
• Sur les groupes hyperboliques d'après Mikhael Gromov. (On the hyperbolic groups à la M. Gromov)
• Lectures on hyperbolic geometry
• Approximations of stable actions on \(\mathbb{R}\)-trees
• Groups acting on the circle.
• Limit groups as limits of free groups.
• Some remarks on foliated \(S^ 1\) bundles
• Diophantine geometry over groups. I: Makanin-Razborov diagrams
• On asymptotic cones and quasi-isometry classes of fundamental groups of 3-manifolds
• Limit groups and groups acting freely on \(\mathbb{R}^n\)-trees.
• Surface groups are frequently faithful
• Remarks on the cohomology of groups
• On the existence of a connection with curvature zero
• Bundles with totally disconnected structure group
• A characterization of irreducible symmetric spaces and Euclidean buildings of higher rank by their asymptotic geometry
• Espaces de représentations complètement réductibles
• Non-injective representations of a closed surface group into PSL(2, )
• Ribbon ℝ-trees and holomorphic dynamics on the unit disk
• Complete Trees for Groups with a Real-Valued Length Function
• Ergodic Actions of the Mapping Class Group
• The Self-Duality Equations on a Riemann Surface
• On the geometry and dynamics of diffeomorphisms of surfaces
• Splittings of Surfaces

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