Configurations of flags and representations of surface groups in complex hyperbolic geometry

DOI10.1007/S10711-011-9589-9zbMath1247.22015OpenAlexW2049676986MaRDI QIDQ658537

Pierre Will, Julien Marché

Publication date: 12 January 2012

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-011-9589-9

zbMATH Keywords

surface groupsrepresentation varietycomplex hyperbolic geometry

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Discrete subgroups of Lie groups (22E40)

Related Items (1)

LOCAL COORDINATES FOR COMPLEX AND QUATERNIONIC HYPERBOLIC PAIRS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Bending Fuchsian representations of fundamental groups of cusped surfaces in \(\mathrm{PU}(2,1)\)
• Moduli spaces of convex projective structures on surfaces
• Complex hyperbolic Fenchel-Nielsen coordinates
• The complex cross ratio on the Heisenberg group
• Representations of surface groups in complex hyperbolic space
• The moduli space of the modular group in complex hyperbolic geometry
• Rigidity and flexibility of triangle groups in complex hyperbolic geometry
• The \(\mathrm{PU}(2,1)\) configuration space of four points in \(S^3\) and the cross-ratio variety
• Traces in complex hyperbolic triangle groups
• Open sets of maximal dimension in complex hyperbolic quasi-Fuchsian space
• Moduli spaces of local systems and higher Teichmüller theory
• The punctured torus and Lagrangian triangle groups in PU(2,1)
• Traces, Cross-Ratios and 2-Generator Subgroups of SU(2, 1)
• Complex hyperbolic manifolds homotopy equivalent to a Riemann surface

This page was built for publication: Configurations of flags and representations of surface groups in complex hyperbolic geometry