Complex hyperbolic geometry of the figure-eight knot

DOI10.2140/gt.2015.19.237zbMath1335.32028arXiv1303.7096OpenAlexW2045704825MaRDI QIDQ2260554

Elisha Falbel, Martin Deraux

Publication date: 11 March 2015

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

Full work available at URL: https://arxiv.org/abs/1303.7096

zbMATH Keywords

spherical CR structuresgeometric structures on 3-manifolds

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 (15)

SL(3, ℂ)-character varieties of two-generator groups ⋮ Complex hyperbolic \((3,n,\infty )\) triangle groups ⋮ A complex hyperbolic Riley slice ⋮ Hilbert geometry without convexity ⋮ Redundancy of Triangle Groups in Spherical CR Representations ⋮ A uniformizable spherical CR structure on a two-cusped hyperbolic 3-manifold ⋮ On the limit set of a spherical CR uniformization ⋮ Flag structures on real 3-manifolds ⋮ Deformation of hyperbolic manifolds in 𝑃𝐺𝐿(𝑛,𝐂) and discreteness of the peripheral representations ⋮ On \(\mathrm{SL}(3,\mathbb{C})\)-representations of the Whitehead link group ⋮ Hybrid lattices and thin subgroups of Picard modular groups ⋮ Representations of fundamental groups of 3-manifolds into \(\mathrm{PGL}(3,\mathbb C)\): exact computations in low complexity ⋮ Geometric structures and configurations of flags in orbits of real forms ⋮ Spherical CR uniformization of Dehn surgeries of the Whitehead link complement ⋮ Character varieties for real forms

Cites Work

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• Spherical CR Geometry and Dehn Surgery (AM-165)
• Conformally Flat Manifolds with Nilpotent Holonomy and the Uniformization Problem for 3-Manifolds
• Dirichlet Polyhedra for Cyclic Groups in Complex Hyperbolic Space
• A quadratic parabolic group
• Degenerating the complex hyperbolic ideal triangle groups

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