Higgs bundles, harmonic maps and pleated surfaces
DOI10.2140/GT.2024.28.3135MaRDI QIDQ6647553
Michael Wolf, Andreas Ott, Richard A. Wentworth, Jan Swoboda
Publication date: 3 December 2024
Published in: Geometry \& Topology (Search for Journal in Brave)
equivariant harmonic mapsHiggs bundlesself-duality equationscomplex projective structurespleated surfacesnonabelian Hodge correspondence\(\operatorname{SL}(2,\mathbb{C})\)-representations of surface groups
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) Differential geometric aspects of harmonic maps (53C43) Hyperbolic 3-manifolds (57K32)
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- Equilibrium maps between metric spaces
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- Global existence theorems for harmonic maps to nonlocally compact spaces
- Asymptotics of Hitchin's metric on the Hitchin section
- Asymptotic geometry of the Hitchin metric
- Harmonic maps into singular spaces and \(p\)-adic superrigidity for lattices in groups of rank one
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- \(\mathrm{PSL}(2; \mathbb C)\) connections on 3-manifolds with \(L^2\) bounds on curvature
- The Schwarzian derivative and measured laminations on Riemann surfaces
- Thurston's Work on Surfaces (MN-48)
- Exact WKB analysis and cluster algebras
- The Self-Duality Equations on a Riemann Surface
- Twisted Harmonic Maps and the Self-Duality Equations
- Spectral curves and the generalised theta divisor.
- Existence D'Applications Harmoniques Tordues a Valeurs Dans les Varietes a Courbure Negative
- Combinatorics of Train Tracks. (AM-125)
- Harmonic Maps into Hyperbolic 3-Manifolds
- Abstract length functions in groups
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- Splittings of Surfaces
- Asymptotic behaviour of certain families of harmonic bundles on Riemann surfaces
- Voros symbols as cluster coordinates
- Limiting configurations for solutions of Hitchin’s equation
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