Geodesics and Compression Bodies

DOI10.1080/10586458.2013.870503zbMath1300.57015arXiv1302.3652OpenAlexW2170945806MaRDI QIDQ2875539

Marc Lackenby, Jessica S. Purcell

Publication date: 8 August 2014

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.3652

zbMATH Keywords

geodesichyperbolic structurecompression bodyFord domain of a Kleinian group

Mathematics Subject Classification ID

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

Related Items (4)

Ford domains of Fuchsian once-punctured Klein bottle groups ⋮ Geodesic systems of tunnels in hyperbolic 3-manifolds ⋮ Cusp shape and tunnel number ⋮ The length of unknotting tunnels

Cites Work

• Dehn filling and the geometry of unknotting tunnels
• The length of unknotting tunnels
• Unknotting tunnels in two-bridge knot and link complements
• Unknotting tunnels in hyperbolic 3-manifolds
• Geometrical finiteness for hyperbolic groups
• Algebraic limits of geometrically finite manifolds are tame
• UNKNOTTING TUNNELS FOR P(-2,3,7)
• OPTi's Algorithm for Discreteness Determination
• ON MODULI OF KLEINIAN GROUPS
• Ford and Dirichlet domains for cyclic subgroups of 𝑃𝑆𝐿₂(ℂ) acting on ℍ³_{ℝ} and ∂ℍ³_{ℝ}
• On Cyclic Groups of Möbius Transformations.

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