On some classes of hyperbolic knots with the 3-sphere surgery

DOI10.1016/j.topol.2011.11.027zbMath1270.57017OpenAlexW2089420110MaRDI QIDQ409571

Alberto Cavicchioli, Toshio Saito

Publication date: 13 April 2012

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2011.11.027

zbMATH Keywords

distanceDehn surgeryhyperbolic knotLens space\((1,1)\)-knot

Mathematics Subject Classification ID

Cites Work

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• On minimum genus Heegaard splittings of some orientable closed 3-manifolds
• Dehn surgery and (1,1)-knots in lens spaces
• On unknotting tunnels for knots
• The dual knots of doubly primitive knots
• Topology of compact space forms from Platonic solids. I.
• Surgery on knots in solid tori
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• The simplest closed 3-manifolds
• Satellite (1,1)-knots and meridionally incompressible surfaces
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• The knots in \(D^ 2\times S^ 1\) which have nontrivial Dehn surgeries that yield \(D^ 2\times S^ 1\)
• Knots in lens spaces with the 3-sphere surgery
• Knots are Determined by Their Complements
• Heegaard Diagrams of 3-Manifolds
• HEEGAARD SPLITTINGS OF THE TRIVIAL KNOT
• Genus one 1-bridge positions for the trivial knot and cabled knots
• MERIDIONALLY INCOMPRESSIBLE SURFACES AND THE DISTANCE OF (1,1)-SPLITTINGS
• SCHARLEMANN–THOMPSON INVARIANT FOR KNOTS WITH UNKNOTTING TUNNELS AND THE DISTANCE OF (1,1)-SPLITTINGS
• Dehn surgery on knots
• 3-manifolds as viewed from the curve complex

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