Studying deformations of Fuchsian representations with Higgs bundles
From MaRDI portal
Publication:2633023
DOI10.3842/SIGMA.2019.010zbMath1411.14017arXiv1809.06786MaRDI QIDQ2633023
Publication date: 8 May 2019
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.06786
Algebraic moduli problems, moduli of vector bundles (14D20) Vector bundles on curves and their moduli (14H60) Topological properties in algebraic geometry (14F45)
Related Items (1)
Cites Work
- Unnamed Item
- Higgs bundles for the Lorentz group
- Higgs bundles and \((A,B,A)\)-branes
- Stable bundles and integrable systems
- Local rigidity of discrete groups acting on complex hyperbolic space
- Surface group representations with maximal Toledo invariant
- Homotopy groups of moduli spaces of representations
- The symplectic nature of fundamental groups of surfaces
- Topological components of spaces of representations
- Representations of surface groups in complex hyperbolic space
- Higgs bundles and local systems
- Lie groups and Teichmüller space
- The space of surface group representations
- Mirror symmetry, Langlands duality, and the Hitchin system
- Positivity and higher Teichmüller theory
- Connectedness of Higgs bundle moduli for complex reductive Lie groups
- Stable principal bundles on a compact Riemann surface
- 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
- Anosov flows, surface groups and curves in projective space
- Stable and unitary vector bundles on a compact Riemann surface
- On the existence of a connection with curvature zero
- Symmetric products of an algebraic curve
- Maximal \(\mathsf{Sp}(4,\mathbb R)\) surface group representations, minimal immersions and cyclic surfaces
- The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group
- Moduli Space of Semistable Pairs on a Curve
- The Self-Duality Equations on a Riemann Surface
- Constructing Variations of Hodge Structure Using Yang-Mills Theory and Applications to Uniformization
- An Infinitesimal Study of the Moduli of Hitchin Pairs
- AdS 3-manifolds and Higgs bundles
- The Yang-Mills equations over Riemann surfaces
- Higher Teichm\"uller Spaces: from SL(2,R) to other Lie groups
This page was built for publication: Studying deformations of Fuchsian representations with Higgs bundles