Dehn surgery, homology and hyperbolic volume

DOI10.2140/agt.2006.6.2297zbMath1129.57019arXivmath/0508208OpenAlexW2042032503MaRDI QIDQ863101

Ian Agol, Marc Culler, Peter B. Shalen

Publication date: 25 January 2007

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

Full work available at URL: https://arxiv.org/abs/math/0508208

zbMATH Keywords

volumehyperbolic manifoldhomologyDehn surgerydrilling

Mathematics Subject Classification ID

Related Items (12)

Enumerating Kleinian Groups ⋮ Homology and volume of hyperbolic \(3\)-orbifolds, and enumeration of arithmetic groups ⋮ Pseudo-Anosov stretch factors and homology of mapping tori ⋮ The lowest volume 3–orbifolds with high torsion ⋮ New lower bounds for optimal horoball packing density in hyperbolic \(n\)-space for \(6\le n\le 9\) ⋮ Volume and homology of one-cusped hyperbolic 3-manifolds ⋮ The geometry of k-free hyperbolic 3-manifolds ⋮ Small isospectral and nonisometric orbifolds of dimension 2 and 3 ⋮ Small optimal Margulis numbers force upper volume bounds ⋮ Margulis numbers for Haken manifolds ⋮ Minimum volume cusped hyperbolic three-manifolds ⋮ Bounds on exceptional Dehn filling. II

Uses Software

• SnapPea

Cites Work

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• Realising end invariants by limits of minimally parabolic, geometrically finite groups
• Free Kleinian groups and volumes of hyperbolic 3-manifolds
• Volume change under drilling
• Homotopy hyperbolic 3-manifolds are hyperbolic
• A universal upper bound on density of tube packings in hyperbolic space
• Vol3 and other exceptional hyperbolic 3-manifolds
• Shrinkwrapping and the taming of hyperbolic 3-manifolds
• Lower bounds on volumes of hyperbolic Haken 3-manifolds
• Packing of spheres in spaces of constant curvature
• Paradoxical Decompositions, 2-Generator Kleinian Groups, and Volumes of Hyperbolic 3-Manifolds
• Growth Rates, ℤ p -Homology, and Volumes of Hyperbolic 3-Manifolds
• Deformations of hyperbolic \(3\)-cone-manifolds

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