Spherical CR uniformization of Dehn surgeries of the Whitehead link complement

DOI10.2140/gt.2019.23.2593zbMath1428.32009arXiv1802.05528OpenAlexW3099795501WikidataQ126992765 ScholiaQ126992765MaRDI QIDQ2331023

Miguel Acosta

Publication date: 24 October 2019

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

Full work available at URL: https://arxiv.org/abs/1802.05528

zbMATH Keywords

uniformizationDehn surgeryWhitehead linkFord domaincomplex hyperbolic geometryspherical CR geometry

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) General geometric structures on low-dimensional manifolds (57M50) CR structures, CR operators, and generalizations (32V05)

Related Items (5)

Complex hyperbolic \((3,n,\infty )\) triangle groups ⋮ 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 ⋮ Geometric structures and configurations of flags in orbits of real forms

Cites Work

• Spherical CR Dehn surgeries
• A 1-parameter family of spherical CR uniformizations of the figure eight knot complement
• Deforming the \(\mathbb{R}\)-Fuchsian \((4,4,4)\)-triangle group into a lattice.
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• A spherical CR structure on the complement of the figure eight knot with discrete holonomy
• Ideal triangle groups, dented tori, and numerical analysis.
• Complex hyperbolic geometry of the figure-eight knot
• On \(\mathrm{SL}(3,\mathbb{C})\)-representations of the Whitehead link group
• A better proof of the Goldman-Parker conjecture.
• A complex hyperbolic Riley slice
• Representations of fundamental groups of 3-manifolds into \(\mathrm{PGL}(3,\mathbb C)\): exact computations in low complexity
• Character Varieties For : The Figure Eight Knot
• On Spherical CR Uniformization of 3-Manifolds
• Spherical CR Geometry and Dehn Surgery (AM-165)
• Conformally Flat Manifolds with Nilpotent Holonomy and the Uniformization Problem for 3-Manifolds
• Varieties of representations of finitely generated groups
• Spherical CR-manifolds of dimension 3

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