Hyperbolic \(H\)-knots in non-trivial lens spaces are not determined by their complement

DOI10.1016/j.topol.2017.06.017zbMath1372.57035OpenAlexW2727380111MaRDI QIDQ2401577

Daniel Matignon

Publication date: 4 September 2017

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

Full work available at URL: https://doi.org/10.1016/j.topol.2017.06.017

zbMATH Keywords

Dehn surgeryhyperbolic knotlens spaceknot complement problem

Mathematics Subject Classification ID

General low-dimensional topology (57M99) General geometric structures on low-dimensional manifolds (57M50)

Uses Software

• SnapPea

Cites Work

• On the knot complement problem for non-hyperbolic knots
• Foliations and the topology of 3-manifolds. II
• Surgery on knots in solid tori
• A Gordon-Luecke-type argument for knots in lens spaces
• The knots in \(D^ 2\times S^ 1\) which have nontrivial Dehn surgeries that yield \(D^ 2\times S^ 1\)
• The topological classification of the lens spaces
• Scindements de Heegaard des espaces lenticulaires
• Knots are Determined by Their Complements
• CLOSED 3–MANIFOLDS UNCHANGED BY DEHN SURGERY
• Dehn surgery on knots
• Unnamed Item
• Unnamed Item

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