Higgs bundles and higher Teichmüller spaces
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Publication:784799
DOI10.4171/203-1/9zbMath1446.30072arXiv1901.09086OpenAlexW4248739119MaRDI QIDQ784799
Publication date: 3 August 2020
Full work available at URL: https://arxiv.org/abs/1901.09086
Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60)
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From Hyperbolic Dehn Filling to Surgeries in Representation Varieties, Non-abelian Hodge theory and related topics, Abelianization of Higgs bundles for quasi-split real groups, Parabolic Higgs bundles and representations of the fundamental group of a punctured surface into a real group
Cites Work
- Unnamed Item
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- Stable bundles and integrable systems
- Maximal surface group representations in isometry groups of classical Hermitian symmetric spaces
- Geometric invariant theory and decorated principal bundles
- Convex foliated projective structures and the Hitchin component for \({\text{PSL}}_4(\mathbf{R})\)
- Surface group representations with maximal Toledo invariant
- The Gromov norm of the Kähler class of symmetric domains
- Topological components of spaces of representations
- Representations of surface groups in complex hyperbolic space
- Flat G-bundles with canonical metrics
- Higgs bundles and local systems
- Lie groups and Teichmüller space
- The space of surface group representations
- Moduli of representations of the fundamental group of a smooth projective variety. I
- Moduli for principal bundles over algebraic curves. II
- Surface group representations with maximal Toledo invariant.
- The gerbe of Higgs bundles.
- Positivity and higher Teichmüller theory
- Exotic components of \(\mathrm{SO}(p, q)\) surface group representations, and their Higgs bundle avatars
- Connectedness of Higgs bundle moduli for complex reductive Lie groups
- Surface group representations and \(U(p,q)\)-Higgs bundles.
- Moduli of representations of the fundamental group of a smooth projective variety. II
- Representations of the fundamental group of a closed oriented surface in Sp(\(4,\mathbb R\))
- Anosov representations: domains of discontinuity and applications.
- The geometry of maximal representations of surface groups into \(\mathrm{SO}_0(2,n)\)
- \(\mathrm{SO}(p,q)\)-Higgs bundles and higher Teichmüller components
- Higgs bundles for the non-compact dual of the special orthogonal group
- Maximal representations of surface groups: symplectic Anosov structures
- Moduli spaces of local systems and higher Teichmüller theory
- Anosov flows, surface groups and curves in projective space
- Nonabelianization of Higgs bundles
- Density of Zariski density for surface groups
- On the existence of a connection with curvature zero
- The Gromov norm of the Kähler class and the Maslov index.
- Representations of the fundamental group of a surface in and holomorphic triples
- Higgs bundles for real groups and the Hitchin–Kostant–Rallis section
- DEFORMATIONS OF MAXIMAL REPRESENTATIONS IN Sp(4, R)
- Harmonic Bundles on Noncompact Curves
- Moduli Space of Semistable Pairs on a Curve
- Maximal Representations of Surface Groups in Bounded Symmetric Domains
- 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
- Rational Inner Functions on Bounded Symmetric Domains
- Relative Hitchin-Kobayashi Correspondences for Principal Pairs
- Higher Teichm\"uller Spaces: from SL(2,R) to other Lie groups
- Involutions of rank 2 Higgs bundle moduli spaces
- Involutions and higher order automorphisms of Higgs bundle moduli spaces
- Convex Real Projective Structures on Closed Surfaces are Closed
- Higgs bundles, the Toledo invariant and the Cayley correspondence
- Higgs bundles and surface group representations in the real symplectic group
- Orbits and Representations Associated with Symmetric Spaces
- Lie groups beyond an introduction
- Components of spaces of representations and stable triples.
