Geometry and rank of fibered hyperbolic 3-manifolds

DOI10.2140/agt.2009.9.277zbMath1182.57012arXiv0803.1253OpenAlexW2106859804MaRDI QIDQ1007209

Ian Biringer

Publication date: 20 March 2009

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

Full work available at URL: https://arxiv.org/abs/0803.1253

zbMATH Keywords

fundamental grouphyperbolic 3-manifoldrankgeometric convergencealgebraic convergenceconvex corehyperbolic surface bundle

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Hyperbolic groups and nonpositively curved groups (20F67) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

Related Items (4)

On the doubled tetrus ⋮ Determining hyperbolic 3-manifolds by their surfaces ⋮ Ranks of mapping tori via the curve complex ⋮ Lengths of edges in carrier graphs

Cites Work

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• Surface bundles versus Heegaard splittings
• Shadows of mapping class groups: capturing convex cocompactness.
• Bouts des variétés hyperboliques de dimension 3. (Ends of hyperbolic 3-dimensional manifolds)
• Lectures on hyperbolic geometry
• Convex cocompact subgroups of mapping class groups
• Injectivity radius and fundamental groups of hyperbolic 3-manifolds
• A covering theorem for hyperbolic 3-manifolds and its applications
• Spherical space forms and Dehn filling
• A characterization of short curves of a Teichmüller geodesic
• Counting hyperbolic manifolds with bounded diameter
• On irreducible 3-manifolds which are sufficiently large
• The continuity of convex cores with respect to the geometric topology
• Shrinkwrapping and the taming of hyperbolic 3-manifolds
• Geometric Finiteness of Certain Kleinian Groups
• Ends of Hyperbolic 3-Manifolds

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