Density of Zariski density for surface groups

DOI10.1215/00127094-2690696zbMath1297.57070arXiv1009.2258OpenAlexW2085725568MaRDI QIDQ2510817

Pierre Pansu, Inkang Kim

Publication date: 4 August 2014

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.2258

zbMATH Keywords

surface groupZariski densityfully flexible homomorphismpartially rigid homomorphism

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Global differential geometry of Hermitian and Kählerian manifolds (53C55) General properties and structure of real Lie groups (22E15)

Related Items (2)

Tight maps and holomorphicity ⋮ Higgs bundles and higher Teichmüller spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Local rigidity of discrete groups acting on complex hyperbolic space
• Bending and stamping deformations of hyperbolic manifolds
• Surface group representations with maximal Toledo invariant
• Local rigidity in quaternionic hyperbolic space
• Tight homomorphisms and Hermitian symmetric spaces
• A cocycle for the symplectic first Chern class and the Maslov index
• The Gromov norm of the Kähler class of symmetric domains
• Semianalytic and subanalytic sets
• Representations of surface groups in complex hyperbolic space
• Higgs bundles and local systems
• Lie groups and Teichmüller space
• The space of surface group representations
• Surface group representations and \(U(p,q)\)-Higgs bundles.
• Representation varieties of the fundamental groups of compact orientable surfaces
• Maslov index and Novikov-Wall theorem
• On the existence of a connection with curvature zero
• The Gromov norm of the Kähler class and the Maslov index.
• Connectedness and density of irreducible representations of surface groups in the general linear group.
• Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts
• Homology with local coefficients
• Bounded cohomology and totally real subspaces in complex hyperbolic geometry
• The Self-Duality Equations on a Riemann Surface
• Bending deformations of complex hyperbolic surfaces.
• Deformations of homomorphisms of Lie groups and Lie algebras
• Strong Rigidity of Locally Symmetric Spaces. (AM-78)
• The deformation theory of representations of fundamental groups of compact Kähler manifolds

This page was built for publication: Density of Zariski density for surface groups