On a class of hyperbolic 3-orbifolds of small volume and small Heegaard genus associated to 2-bridge links

DOI10.1007/BF02904219zbMath0947.57003OpenAlexW1999499359MaRDI QIDQ1567574

Mattia Mecchia, Bruno P. Zimmermann

Publication date: 1 November 2000

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02904219

zbMATH Keywords

\(2\)-bridge linkhyperbolic \(3\)-orbifold

Mathematics Subject Classification ID

Related Items (4)

Epimorphisms from 2-bridge link groups onto Heckoid groups. I ⋮ Extending finite group actions on surfaces over \(S^3\) ⋮ Equivariant Heegaard genus of reducible 3-manifolds ⋮ A survey on large finite group actions on graphs, surfaces and 3-manifolds

Cites Work

• Limit volumes of hyperbolic three-orbifolds
• Heegaard splittings and branched coverings of B 3
• A lower bound for the volume of hyperbolic 3-orbifolds
• Involutions of sufficiently large 3-manifolds
• On irreducible 3-manifolds which are sufficiently large
• ISOTOPIES OF SEIFERT FIBERED, HYPERBOLIC AND EUCLIDEAN 3-ORBIFOLDS
• Constant energy surfaces of Hamiltonian systems, enumeration of three-dimensional manifolds in increasing order of complexity, and computation of volumes of closed hyperbolic manifolds
• Arithmeticity, discreteness and volume
• Symmetries, Isometries and Length Spectra of Closed Hyperbolic Three-Manifolds
• Handlebody Orbifolds and Schottky Uniformizations of Hyperbolic 2-Orbifolds
• Genus actions of finite groups on 3-manifolds
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