Harmonic maps for Hitchin representations

DOI10.1007/s00039-019-00491-7zbMath1490.53085arXiv1806.06884OpenAlexW2809238613WikidataQ128119153 ScholiaQ128119153MaRDI QIDQ2416543

Qiongling Li

Publication date: 23 May 2019

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.06884

zbMATH Keywords

energy densityhyperbolic surfaceHitchin representation\(n\)-Fuchsian representation

Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43) Vector bundles on curves and their moduli (14H60) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Cites Work

• Unnamed Item
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• Twistor theory for Riemannian symmetric spaces. With applications to harmonic maps of Riemann surfaces
• Lie groups and Teichmüller space
• On cyclic Higgs bundles
• Conformal limits and the Białynicki-Birula stratification of the space of \(\lambda\)-connections
• Anosov flows, surface groups and curves in projective space
• Minimal surfaces for Hitchin representations
• The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group
• The Self-Duality Equations on a Riemann Surface
• Twisted Harmonic Maps and the Self-Duality Equations
• Constructing Variations of Hodge Structure Using Yang-Mills Theory and Applications to Uniformization
• Some properties and applications of harmonic mappings
• Dominating Surface Group Representations by Fuchsian Ones
• Cross ratios, Anosov representations and the energy functional on Teichmüller space

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