Banding, twisted ribbon knots, and producing reducible manifolds via Dehn surgery
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Publication:1113487
DOI10.1007/BF01453596zbMath0662.57004MaRDI QIDQ1113487
Publication date: 1990
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/164658
Dehn surgerylens spacehomology spheresstrongly invertible knotattaching a band to a composite knotcomposite twisted ribbon number one knotsummand of bridge number two
Related Items (3)
Cosmetic banding on knots and links ⋮ \(H(2)\)-unknotting operation related to 2-bridge links ⋮ Achiral 1-cusped hyperbolic 3-manifolds not coming from amphicheiral null-homologous knot complements
Cites Work
- Incompressible planar surfaces in 3-manifolds
- Producing reducible 3-manifolds by surgery on a knot
- Tangles, property P, and a problem of J. Martin
- Unknotting number one knots are prime
- Incompressible surfaces in 2-bridge knot complements
- Foliations and the topology of 3-manifolds. III
- Knots with unknotting number one are determined by their complements
- A projective plane in \({\mathbb{R}}^ 4\) with three critical points is standard. Strongly invertible knots have property P
- Splitting the PL involutions of nonprime 3-manifolds
- Smooth spheres in \({\mathbb{R}}^ 4\) with four critical points are standard
- Only integral Dehn surgeries can yield reducible manifolds
- Composite Ribbon Number One Knots have Two-Bridge Summands
- Dehn Surgery and Satellite Knots
- Knot surgery and primeness
- Unknotting by adding a Twisted Band
- Primeness and Sums of Tangles
- Heegaard Splittings of Branched Coverings of S 3
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