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

DOI10.1016/j.aim.2023.108997OpenAlexW4361029883MaRDI QIDQ2699231

Andrea Tamburelli, Charles Ouyang

Publication date: 26 April 2023

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

Full work available at URL: https://arxiv.org/abs/2010.03499

zbMATH Keywords

representationsHiggs bundleslength spectrummaximal surfaceshigher Teichmuller theory

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Vector bundles on curves and their moduli (14H60)

Related Items (1)

High-energy harmonic maps and degeneration of minimal surfaces

Cites Work

• Unnamed Item
• Compactifications of representation spaces of finitely generated groups
• Cyclic surfaces and Hitchin components in rank 2
• Length spectra and degeneration of flat metrics
• Degeneration of Hitchin representations along internal sequences
• Le spectre marqué des longueurs des surfaces à courbure négative. (The spectrum marked by lengths of surfaces with negative curvature)
• Convex foliated projective structures and the Hitchin component for \({\text{PSL}}_4(\mathbf{R})\)
• Hitchin components and hyperconvex representations of surface groups
• The geometry of Teichmüller space via geodesic currents
• The Teichmüller theory of harmonic maps
• Bouts des variétés hyperboliques de dimension 3. (Ends of hyperbolic 3-dimensional manifolds)
• Amenability, Poincaré series and quasiconformal maps
• Flat G-bundles with canonical metrics
• Higgs bundles and local systems
• Lie groups and Teichmüller space
• The maximum principle for cooperative weakly coupled elliptic systems and some applications
• On the rigidity of discrete isometry groups of negatively curved spaces
• Formulas for the derivative and critical points of topological entropy for Anosov and geodesic flows
• An introduction to Higgs bundles via harmonic maps
• The real spectrum compactification of character varieties: characterizations and applications
• Limits of Blaschke metrics
• Conical metrics on Riemann surfaces. I: The compactified configuration space and regularity
• Cyclic Higgs bundles and the affine Toda equations
• The geometry of maximal representations of surface groups into \(\mathrm{SO}_0(2,n)\)
• On cyclic Higgs bundles
• Entropy degeneration of convex projective surfaces
• Survey on Affine Spheres
• The Self-Duality Equations on a Riemann Surface
• Twisted Harmonic Maps and the Self-Duality Equations
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• An Introduction to the Differential Geometry of Flat Bundles and of Higgs Bundles
• Variations along the Fuchsian locus
• Marked-length-spectral rigidity for flat metrics
• Higgs Bundles and Local Systems on Riemann Surfaces
• Currents, systoles, and compactifications of character varieties
• Strata of $k$-differentials
• Cross ratios, Anosov representations and the energy functional on Teichmüller space

This page was built for publication: Length spectrum compactification of the \(\mathrm{SO}_0(2, 3)\)-Hitchin component