On hyperbolic once-punctured-torus bundles. II: fractal tessellations of the plane

DOI10.1007/s10711-006-9070-3zbMath1119.57007OpenAlexW2096579608MaRDI QIDQ884769

Warren Dicks, James W. Cannon

Publication date: 7 June 2007

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: http://ddd.uab.cat/record/44157

zbMATH Keywords

symmetrybundletesselationspace-fillingCannon-Thurstonpunctured torus

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Automorphism groups of groups (20F28) Fundamental group, presentations, free differential calculus (57M05) Free nonabelian groups (20E05)

Related Items (7)

Cohomology fractals, Cannon–Thurston maps, and the geodesic flow ⋮ Cannon-Thurston maps for surface groups ⋮ On hyperbolic once-punctured-torus bundles. IV: Automata for lightning curves ⋮ On hyperbolic once-punctured-torus bundles. III: Comparing two tessellations of the complex plane ⋮ Experimental Statistics of Veering Triangulations ⋮ A Survey of the Impact of Thurston’s Work on Knot Theory ⋮ Veering triangulations and Cannon–Thurston maps

Cites Work

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• Bouts des variétés hyperboliques de dimension 3. (Ends of hyperbolic 3-dimensional manifolds)
• The classification of punctured-torus groups
• The boundary of the Gieseking tree in hyperbolic three-space
• On hyperbolic once-punctured-torus bundles
• Group invariant Peano curves
• The Cannon-Thurston map for punctured-surface groups
• Local connectivity, Kleinian groups and geodesics on the blowup of the torus.

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