On Spherical CR Uniformization of 3-Manifolds

DOI10.1080/10586458.2014.996835zbMath1408.32035arXiv1410.0659OpenAlexW1952611687MaRDI QIDQ2813824

Martin Deraux

Publication date: 27 June 2016

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.0659

zbMATH Keywords

complex geometryhyperbolic geometrydiscrete groups

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) General geometric structures on low-dimensional manifolds (57M50) CR structures, CR operators, and generalizations (32V05)

Related Items (7)

SL(3, ℂ)-character varieties of two-generator groups ⋮ A complex hyperbolic Riley slice ⋮ Redundancy of Triangle Groups in Spherical CR Representations ⋮ A uniformizable spherical CR structure on a two-cusped hyperbolic 3-manifold ⋮ On \(\mathrm{SL}(3,\mathbb{C})\)-representations of the Whitehead link group ⋮ Deformation Spaces of Discrete Groups of SU(2,1) in Quaternionic Hyperbolic Plane: A Case Study ⋮ Spherical CR uniformization of Dehn surgeries of the Whitehead link complement

Cites Work

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• Real hyperbolic on the outside, complex hyperbolic on the inside
• A Duplicate Pair in the SnapPea Census
• Volumes of Picard modular surfaces
• Spherical CR Geometry and Dehn Surgery (AM-165)
• A quadratic parabolic group
• A census of cusped hyperbolic 3-manifolds
• Degenerating the complex hyperbolic ideal triangle groups

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