Classification of non-free Kleinian groups generated by two parabolic transformations

DOI10.1090/tran/8246zbMath1458.57025arXiv2001.09564OpenAlexW3118350118MaRDI QIDQ4963628

Ken'ichi Ohshika, Makoto Sakuma, John R. Parker, Hirotaka Akiyoshi, Han Yoshida

Publication date: 19 February 2021

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.09564

zbMATH Keywords

2-bridge linkHeckoid groupKleinian groups generated by two parabolics

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40) Knot theory (57K10)

Related Items (3)

Classification of parabolic generating pairs of Kleinian groups with two parabolic generators ⋮ Low-dimensional topology. Abstracts from the workshop held February 16--22, 2020 ⋮ Approximations of the Riley slice

Cites Work

• Epimorphisms from 2-bridge link groups onto Heckoid groups. I
• Notes on Tameness
• Finite group actions on 3-manifolds
• Difféotopies des espaces lenticulaires
• Knoten mit zwei Brücken
• Diffeomorphism groups of critical regularity
• Geometrization of 3-dimensional orbifolds
• A complete proof of the Poincaré and geometrization conjectures -- application of the Hamilton-Perelman theory of the Ricci flow
• Existence of ruled wrappings in hyperbolic 3-manifolds
• Punctured torus groups and 2-bridge knot groups. I
• Fibered spherical 3-orbifolds
• Notes on Perelman's papers
• The \(\pi\)-orbifold group of a link
• Hierarchies for 3-orbifolds
• Commutators, collars and the geometry of Möbius groups
• Structural stability of Kleinian groups
• Three-dimensional orbifolds and cone-manifolds
• The geometry of finitely generated Kleinian groups
• Hyperbolic 3-manifolds with two generators
• Geometrisation of 3-manifolds
• Pants immersed in hyperbolic 3-manifolds
• Isometry groups and mapping class groups of spherical 3-orbifolds
• A sound and complete proof theory for propositional logical contingencies
• The structure of two-parabolic space: parabolic dust and iteration
• Conjugacy Classes of Finite Subgroups of Kleinian Groups
• Shrinkwrapping and the taming of hyperbolic 3-manifolds
• Spherical splitting of 3-orbifolds
• Algebra for Heckoid Groups
• A quadratic parabolic group
• Parabolic Representations of Knot Groups, II
• The Riley Slice of Schottky Space
• Isometries of Orbifolds Double-Covered by Lens Spaces
• The Dynamics of Semigroups of Rational Functions I
• Classification of parabolic generating pairs of Kleinian groups with two parabolic generators
• Nondiscrete parabolic characters of the free group F2: supergroup density and Nielsen classes in the complement of the Riley slice
• The Geometries of 3-Manifolds
• Groups Generated by two Parabolic Linear Fractional Transformations
• Parabolic Representations of Knot Groups, I
• Knots
• Über die Bestimmung Dirichletscher Reihen durch ihre Funktionalgleichung
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