A closed ball compactification of a maximal component via cores of trees (Q6657452)

scientific article; zbMATH DE number 7962279

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English	A closed ball compactification of a maximal component via cores of trees	scientific article; zbMATH DE number 7962279

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instance of

scholarly article

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title

A closed ball compactification of a maximal component via cores of trees (English)

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Algebraic \& Geometric Topology

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publication date

6 January 2025

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zbMATH Keywords

harmonic maps

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hyperbolic surfaces

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Teichmüller theory

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$\mathbb{R}$-trees

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quadratic differentials

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MaRDI profile type

Publication

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cites work

Tropicalization of group representations

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The geometry of maximal components of the $\mathsf{PSp}(4, \mathbb{R})$ character variety

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Degenerations of the hyperbolic space

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The geometry of Teichmüller space via geodesic currents

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Q3810928

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Maximal representations, non-Archimedean Siegel spaces, and buildings

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Currents, systoles, and compactifications of character varieties

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The real spectrum compactification of character varieties: characterizations and applications

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Positive crossratios, barycenters, trees and applications to maximal representations

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Maximal $\mathsf{Sp}(4,\mathbb R)$ surface group representations, minimal immersions and cyclic surfaces

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The geometry of maximal representations of surface groups into $\mathrm{SO}_0(2,n)$

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Tree-graded spaces and asymptotic cones of groups. (With an appendix by Denis Osin and Mark Sapir).

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Length spectra and degeneration of flat metrics

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Harmonic Mappings of Riemannian Manifolds

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Thurston's Work on Surfaces (MN-48)

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Moduli spaces of local systems and higher Teichmüller theory

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Extremal length geometry of teichmüller space

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Topological components of spaces of representations

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Cœur et nombre d'intersection pour les actions de groupes sur les arbres

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JSJ decompositions of groups

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On Homotopic Harmonic Maps

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Quadratic differentials and foliations

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Minimal surfaces and particles in 3-manifolds

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Cyclic surfaces and Hitchin components in rank 2

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Higher laminations and affine buildings

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Foliations and laminations on hyperbolic surfaces

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Affine spheres and convex $\mathbb{R}\mathbb{P}^n$-manifolds

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Positive configurations of flags in a building and limits of positive representations

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Lorentz spacetimes of constant curvature

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Relative growth rates of closed geodesics on a surface under varying hyperbolic structures

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Valuations, trees, and degenerations of hyperbolic structures. I

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Notes on conformal mappings of a Riemann surface onto itself

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Le spectre marqué des longueurs des surfaces à courbure négative. (The spectrum marked by lengths of surfaces with negative curvature)

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High-energy harmonic maps and degeneration of minimal surfaces

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Limits of Blaschke metrics

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Length spectrum compactification of the $\mathrm{SO}_0(2, 3)$-Hitchin component

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Compactifications of representation spaces of finitely generated groups

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Invariant weakly convex cocompact subspaces for surface groups in $A_2$-buildings

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Topologie de Gromov équivariante, structures hyperboliques et arbres réels. (Equivariant Gromov topology, hyperbolic structures, and ${\mathbb{R}}$-trees)

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Q3135225

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Splittings of Surfaces

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The Teichmüller theory of harmonic maps

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Harmonic maps from surfaces to $\mathbb{R}$-trees

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Identifiers

DOI

10.2140/agt.2024.24.3693

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6657452