Exceptional Dehn surgeries on some infinite series of hyperbolic knots and links

DOI10.1007/s00009-024-02633-0MaRDI QIDQ6623423

Fulvia Spaggiari, Alberto Cavicchioli

Publication date: 24 October 2024

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

fundamental groupDehn surgeryhyperbolic knotgraph manifoldSeifert fiber spacetoroidal surgery

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Low-dimensional topology of special (e.g., branched) coverings (57M12) Knot theory (57K10)

Cites Work

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• Exceptional surgeries on \((-2,p,p)\)-pretzel knots
• On some classes of hyperbolic knots with the 3-sphere surgery
• Closed incompressible surfaces in alternating knot and link complements
• A representation of orientable combinatorial 3-manifolds
• Dehn filling of the ``magic 3-manifold
• Codimension two PL embeddings of spheres with nonstandard regular neighborhoods
• Topology of compact space forms from Platonic solids. I.
• All exceptional surgeries on alternating knots are integral surgeries
• Toroidal Dehn surgery on hyperbolic knots and hitting number
• Rational surgery calculus: Extension of Kirby's theorem
• A calculus for framed links in \(S^3\)
• The simplest closed 3-manifolds
• Seifert fibered manifolds and Dehn surgery. II
• On Culler-Shalen seminorms and Dehn filling
• Seifert fibered manifolds and Dehn surgery. III
• Twisted unknots.
• Seifert fibering surgery on periodic knots
• Obtaining graph knots by twisting unknots
• Crossing change and exceptional Dehn surgery
• Knots with the lens space surgery
• Geometric types of twisted knots
• Seifert manifolds
• Seifert fibred manifolds and Dehn surgery
• All integral slopes can be Seifert fibered slopes for hyperbolic knots
• L-space surgery and twisting operation
• HYPERBOLIC KNOTS WITH THREE TOROIDAL DEHN SURGERIES
• Heegaard Splittings of Branched Coverings of S 3
• Toroidal surgeries on hyperbolic knots
• Hyperbolic L-space knots and exceptional Dehn surgeries
• The classification of exceptional Dehn surgeries on 2-bridge knots
• Spines and surgery descriptions of graph manifolds

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