The reducibility of surgered 3-manifolds

DOI10.1016/0166-8641(92)90157-UzbMath0817.57019MaRDI QIDQ1186151

Ying-Qing Wu

Publication date: 28 June 1992

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

zbMATH Keywords

reducibleDehn fillingsdistance between filling slopesirreducible 3-manifold with torus as a boundary component

Mathematics Subject Classification ID

Related Items (14)

Reducing Dehn filling and toroidal Dehn filling ⋮ 2-handle additions producing toroidal and reducible manifolds ⋮ Thin presentation of knots and lens spaces ⋮ The distance between two separating, reducing slopes is at most \(4\) ⋮ Dehn filling, reducible 3-manifolds, and Klein bottles ⋮ Reducible and toroidal 3-manifolds obtained by Dehn fillings ⋮ Reducible and $\partial $-reducible handle additions ⋮ REDUCIBLE DEHN SURGERY AND THE BRIDGE NUMBER OF A KNOT ⋮ Boundary reducible handle additions on simple 3-manifolds ⋮ \(\partial\)-reducible Dehn surgery and annular Dehn surgery ⋮ The reducibility of surgered \(3\)-manifolds and homology \(3\)-spheres ⋮ TWISTED TORUS KNOTS WITH ESSENTIAL TORI IN THEIR COMPLEMENTS ⋮ Producing essential 2-spheres ⋮ Symmetric knots and the cabling conjecture

Cites Work

• Incompressible planar surfaces in 3-manifolds
• Producing reducible 3-manifolds by surgery on a knot
• Only integral Dehn surgeries can yield reducible manifolds
• Foliations and surgery on knots
• Dehn surgery on knots

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