Parabolic Higgs bundles and representations of the fundamental group of a punctured surface into a real group
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Publication:783222
DOI10.1016/j.aim.2020.107305zbMath1451.14111arXiv1510.04207OpenAlexW3045895078MaRDI QIDQ783222
Oscar García-Prada, Olivier Biquard, Ignasi Mundet i Riera
Publication date: 11 August 2020
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1510.04207
Relationships between algebraic curves and integrable systems (14H70) Vector bundles on curves and their moduli (14H60)
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Cites Work
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- Riemann-Hilbert for tame complex parahoric connections
- Stable bundles and integrable systems
- Remarks on real nilpotent orbits of a symmetric pair
- The geometric interpretation of a special connection
- Higgs bundles and higher Teichmüller spaces
- Maximal surface group representations in isometry groups of classical Hermitian symmetric spaces
- Betti numbers of parabolic \(U (2,1)\)-Higgs bundles moduli spaces
- Geometric invariant theory and decorated principal bundles
- Uniformization of \({\mathcal {G}}\)-bundles
- Surface group representations with maximal Toledo invariant
- Convex functions on symmetric spaces, side lengths of polygons and the stability inequalities for weighted configurations at infinity
- Flat G-bundles with canonical metrics
- Moduli of vector bundles on curves with parabolic structures
- Higgs bundles and local systems
- Lie groups and Teichmüller space
- Harmonic analysis on real reductive groups. I: The theory of the constant term
- Moduli of parabolic G-bundles on curves
- Construction of the moduli space of stable parabolic Higgs bundles on a Riemann surface
- Compactification of moduli of parabolic sheaves and moduli of parabolic Higgs sheaves
- Parabolic bundles, products of conjugacy classes, and Gromov-Witten invariants.
- Connections on parahoric torsors over curves
- Connectedness of Higgs bundle moduli for complex reductive Lie groups
- Surface group representations and \(U(p,q)\)-Higgs bundles.
- A new proof of a theorem of Narasimhan and Seshadri
- Stable principal bundles on a compact Riemann surface
- On Nahm's equations and the Poisson structure of semi-simple complex Lie algebras
- Instantons and the geometry of the nilpotent variety
- Poisson metrics on flat vector bundles over non-compact curves
- Stable and unitary vector bundles on a compact Riemann surface
- Moduli of parahoric 𝒢-torsors on a compact Riemann surface
- A Hilbert–Mumford criterion for polystability in Kaehler geometry
- Some questions about $\mathcal G$-bundles on curves
- Parabolic Higgs bundles and Teichmüller spaces for punctured surfaces
- Harmonic Bundles on Noncompact Curves
- Betti numbers of the moduli space of rank 3 parabolic Higgs bundles
- MODULI SPACES OF PARABOLIC U(p, q)-HIGGS BUNDLES
- Proof of a Conjecture of Kostant
- 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
- Fibrés paraboliques stables et connexions singulières plates
- Moduli of vector bundles on curves with parabolic structures
- Fibrés de higgs et connexions intégrables : Le cas logarithmique (diviseur lisse)
- Relative Hitchin-Kobayashi Correspondences for Principal Pairs
- A Hitchin-Kobayashi correspondence for Kähler fibrations
- On the existence of hermitian-yang-mills connections in stable vector bundles
- The Yang-Mills equations over Riemann surfaces
- Symplectic geometry on moduli spaces of stable pairs
- Orbifold Riemann Surfaces and the Yang-Mills-Higgs Equations
- 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
- MODULI SPACES OF PARABOLIC HIGGS BUNDLES AND PARABOLIC K(D) PAIRS OVER SMOOTH CURVES: I
- A Hyper-KÄHlerian Structure on Coadjoint Orbits of a Semisimple Complex Group
- Lie groups beyond an introduction