Complex length coordinates for quasi‐fuchsian groups

DOI10.1112/S0025579300007270zbMath0801.30036MaRDI QIDQ4304920

Christos Kourouniotis

Publication date: 1 December 1994

Published in: Mathematika (Search for Journal in Brave)

zbMATH Keywords

hyperbolic geometryquasi-Fuchsian groups

Mathematics Subject Classification ID

Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

Related Items

Linear slices of the quasi-Fuchsian space of punctured tori ⋮ Spectral networks and Fenchel-Nielsen coordinates ⋮ Chern-Simons theory and S-duality ⋮ EXOTIC COMPONENTS IN LINEAR SLICES OF QUASI-FUCHSIAN GROUPS ⋮ Limits of quasi-Fuchsian groups with small bending ⋮ Bending formulae for convex hull boundaries ⋮ Complex Fenchel-Nielsen coordinates with small imaginary parts ⋮ On Fenchel–Nielsen Coordinates of Surface Group Representations into SU(3,1) ⋮ Unnamed Item ⋮ Counting essential surfaces in a closed hyperbolic three-manifold ⋮ Immersing almost geodesic surfaces in a closed hyperbolic three manifold ⋮ Delambre-Gauss formulas for augmented, right-angled hexagons in hyperbolic 4-space ⋮ Ideal right-angled pentagons in hyperbolic 4-space ⋮ Parametrization of PSL\((2,\mathbb C)\)-representations of surface groups ⋮ Quaternionic hyperbolic Fenchel-Nielsen coordinates ⋮ Deformations of fundamental group representations and earthquakes on \(SO(n,1)\) surface groups ⋮ c-Gluing construction and slices of quasi-Fuchsian space ⋮ Examples of pleating varieties for twice punctured tori ⋮ Linear slices close to a Maskit slice ⋮ The complex symplectic geometry of the deformation space of complex projective structures

Cites Work

• The symplectic nature of fundamental groups of surfaces
• The Fenchel-Nielsen deformation
• Trace moduli for Teichmüller spaces of Kleinian groups
• Pleating coordinates for the Maskit embedding of the Teichmüller space of punctured tori
• Bending in the space of quasi-Fuchsian structures

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