A better proof of the Goldman-Parker conjecture.

DOI10.2140/gt.2005.9.1539zbMath1098.20034arXivmath/0508202OpenAlexW3101777359WikidataQ122938933 ScholiaQ122938933MaRDI QIDQ2388875

Richard Evan Schwartz

Publication date: 20 September 2005

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0508202

zbMATH Keywords

hyperbolic planecomplex reflection groupscomplex hyperbolic spacesGoldman-Parker conjectureideal triangle groups

Mathematics Subject Classification ID

Geometric group theory (20F65) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Discrete subgroups of Lie groups (22E40) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) General geometric structures on low-dimensional manifolds (57M50) Hyperbolic groups and nonpositively curved groups (20F67) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45)

Related Items (6)

Hausdorff dimension and complex hyperbolic Schottky groups: a simplification ⋮ A complex hyperbolic Riley slice ⋮ A uniformizable spherical CR structure on a two-cusped hyperbolic 3-manifold ⋮ On the type of triangle groups ⋮ Book Review: Spherical CR geometry and Dehn surgery ⋮ Spherical CR uniformization of Dehn surgeries of the Whitehead link complement

Uses Software

• Mathematica

Cites Work

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• The moduli space of the modular group in complex hyperbolic geometry
• Ideal triangle groups, dented tori, and numerical analysis.
• Complex Hyperbolic Structures on Disc Bundles over Surfaces
• Spherical CR Geometry and Dehn Surgery (AM-165)
• Degenerating the complex hyperbolic ideal triangle groups

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