Symmetry of Knots and Cyclic Surgery

DOI10.2307/2153928zbMath0756.57008OpenAlexW4242193277MaRDI QIDQ4006670

Shi Cheng Wang, Qing Zhou

Publication date: 26 September 1992

Full work available at URL: https://doi.org/10.2307/2153928

zbMATH Keywords

symmetrycyclic surgeryfake lens spacestrong inversion3-manifolds with fundamental group of order less than 5

Mathematics Subject Classification ID

Related Items (7)

Characterizing slopes for torus knots, II ⋮ The classification of rational subtangle replacements between rational tangles ⋮ Commensurability classes of 2-bridge knot complements ⋮ Commensurability classes containing three knot complements ⋮ The Poincaré homology sphere, lens space surgeries, and some knots with tunnel number two ⋮ Dehn surgeries on strongly invertible knots which yield lens spaces ⋮ Symmetric knots and the cabling conjecture

Cites Work

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• Cyclic surgery and satellite knots
• Embedded minimal surfaces, exotic spheres, and manifolds with positive Ricci curvature
• A projective plane in \({\mathbb{R}}^ 4\) with three critical points is standard. Strongly invertible knots have property P
• Topology of three dimensional manifolds and the embedding problems in minimal surface theory
• Correction to: Constructing lens spaces by surgery on knots
• An unexpected surgery construction of a lens space
• Elementary surgery along a torus knot
• Foliations and surgery on knots
• Lens Spaces and Dehn Surgery
• Cyclic Surgery on Knots
• The Geometries of 3-Manifolds
• Dehn surgery on knots

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