Satellite (1,1)-knots and meridionally incompressible surfaces

DOI10.1016/j.topol.2004.07.015zbMath1068.57007OpenAlexW1988238119MaRDI QIDQ1779228

Toshio Saito

Publication date: 1 June 2005

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

Full work available at URL: https://doi.org/10.1016/j.topol.2004.07.015

zbMATH Keywords

incompressible surfacesatellite knotessential torus

Mathematics Subject Classification ID

Related Items (4)

On a parameterization of (1,1)-knots ⋮ On some classes of hyperbolic knots with the 3-sphere surgery ⋮ DEHN SURGERIES ON 2-BRIDGE LINKS WHICH YIELD REDUCIBLE 3-MANIFOLDS ⋮ INCOMPRESSIBLE SURFACES AND (1, 1)-KNOTS

Cites Work

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• On minimum genus Heegaard splittings of some orientable closed 3-manifolds
• On unknotting tunnels for knots
• Incompressible surfaces in 2-bridge knot complements
• Incompressible surfaces in the knot manifolds of torus knots
• Genus one 1-bridge knots as viewed from the curve complex
• Genus two Heegaard splittings of exteriors of 1-genus 1-bridge knots
• DEHN SURGERIES ON 2-BRIDGE LINKS WHICH YIELD REDUCIBLE 3-MANIFOLDS
• The Space of Incompressible Surfaces in a 2-Bridge Link Complement
• Genus one 1-bridge positions for the trivial knot and cabled knots
• MERIDIONALLY INCOMPRESSIBLE SURFACES AND THE DISTANCE OF (1,1)-SPLITTINGS
• Examples of tunnel number one knots which have the property ‘1 + 1 = 3’
• 3-manifolds as viewed from the curve complex

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