Knots admitting purely cosmetic surgeries are prime

DOI10.1016/j.topol.2022.108270OpenAlexW4302362586MaRDI QIDQ2104992

Ran Tao

Publication date: 8 December 2022

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

Full work available at URL: https://doi.org/10.1016/j.topol.2022.108270

zbMATH Keywords

JSJ-decompositioncosmetic surgerycomposite knot

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Knot theory (57K10) General topology of 3-manifolds (57K30)

Cites Work

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• Cosmetic surgeries on knots in \(S^3\)
• JSJ-decompositions of knot and link complements in \(S^3\)
• The characteristic toric splitting of irreducible compact 3-orbifolds
• Homotopy equivalences of 3-manifolds with boundaries
• Achirality of knots and links
• 3-manifold groups
• Dehn Surgery and Satellite Knots
• Three-Dimensional Link Theory and Invariants of Plane Curve Singularities. (AM-110)
• Knots are Determined by Their Complements
• Three dimensional manifolds, Kleinian groups and hyperbolic geometry
• Cable knots do not admit cosmetic surgeries

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