Dehn filling and the geometry of unknotting tunnels

DOI10.2140/gt.2013.17.1815zbMath1277.57009arXiv1105.3461OpenAlexW3100817747MaRDI QIDQ357729

Jessica S. Purcell, Daryl Cooper, David Futer

Publication date: 13 August 2013

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

Full work available at URL: https://arxiv.org/abs/1105.3461

zbMATH Keywords

geodesiclengthDehn fillingcanonical decompositionhyperbolic \(3\)-manifoldunknotting tunnel

Mathematics Subject Classification ID

Related Items (6)

Effective bilipschitz bounds on drilling and filling ⋮ Low-dimensional topology. Abstracts from the workshop held January 15--21, 2023 ⋮ Geodesic systems of tunnels in hyperbolic 3-manifolds ⋮ Effective distance between nested Margulis tubes ⋮ Waist size for cusps in hyperbolic 3-manifolds II ⋮ Geodesics and Compression Bodies

Uses Software

• SnapPy

Cites Work

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• Explicit Dehn filling and Heegaard splittings
• Deformation spaces of Kleinian surface groups are not locally connected
• Universal bounds for hyperbolic Dehn surgery
• On canonical triangulations of once-punctured torus bundles and two-bridge link complements. With an appendix by David Futer.
• A random tunnel number one 3-manifold does not fiber over the circle
• Heegaard surfaces and measured laminations. I: the Waldhausen conjecture
• Punctured torus groups and 2-bridge knot groups. I
• The length of unknotting tunnels
• Rigidity of polyhedral surfaces. II.
• Proving a manifold to be hyperbolic once it has been approximated to be so
• Canonical triangulations of Dehn fillings
• Tunnel number one knots satisfy the Poenaru conjecture
• Heegaard splittings and branched coverings of B 3
• Involutions of sufficiently large 3-manifolds
• Elementary geometry in hyperbolic space
• Lectures on hyperbolic geometry
• Unknotting tunnels in two-bridge knot and link complements
• Heegaard structures of negatively curved 3-manifolds
• Word hyperbolic Dehn surgery
• Margulis numbers for Haken manifolds
• Persistence of Heegaard structures under Dehn filling
• On the density of geometrically finite Kleinian groups.
• Unknotting tunnels in hyperbolic 3-manifolds
• Spherical space forms and Dehn filling
• Dehn filling, volume, and the Jones polynomial
• Alternate Heegaard genus bounds distance
• On irreducible 3-manifolds which are sufficiently large
• Finiteness of polyhedral decompositions of cusped hyperbolic manifolds obtained by the Epstein-Penner’s method
• A generic Margulis number for hyperbolic 3-manifolds
• Random Heegaard splittings
• Are large distance Heegaard splittings generic?
• UNKNOTTING TUNNELS FOR P(-2,3,7)
• A Lower Bound for the Volume of Hyperbolic 3-Manifolds
• Genus Two Heegaard Splittings
• Almost normal surfaces in 3-manifolds
• INVOLUTIONS OF KNOTS THAT FIX UNKNOTTING TUNNELS
• Introducing Regina, The 3-Manifold Topology Software
• Waist size for cusps in hyperbolic 3-manifolds

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