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On the limit set of a
spherical CR uniformization
Miguel Acosta |
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Algebraic & Geometric Topology 22 (2022) 3305–3325
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Abstract |
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We explore the limit set of a particular spherical CR uniformization of a cusped hyperbolic manifold. We prove that the limit set is the closure of a countable union of –circles and contains a Hopf link with three components. We also show that the fundamental group of its complement in is not finitely generated. Additionally, we prove that rank-one spherical CR cusps are quotients of horotubes. |
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Keywords
Spherical CR, limit set, triangle group, complex hyperbolic
geometry, horotube, $(G,X)$–structures
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Mathematical Subject Classification 2010
Primary: 22E40, 57M50
Secondary: 37C85, 51M10
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References |
Publication
Received: 13 December 2019
Revised: 20 April 2021
Accepted: 22 September 2021
Published: 30 January 2023
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Authors |
| Miguel Acosta | |
| Unité de recherche en
Mathématiques Université du Luxembourg Campus Belval Esch-sur-Alzette Luxembourg |
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| http://www.normalesup.org/~acosta/ | |
