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Knot adjacency and satellites.

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Publication:1426489
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DOI10.1016/j.topol.2003.08.001zbMath1045.57002arXivmath/0308168OpenAlexW1988384501MaRDI QIDQ1426489

Efstratia Kalfagianni, Xiao Song Lin

Publication date: 14 March 2004

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

Full work available at URL: https://arxiv.org/abs/math/0308168

zbMATH Keywords

companion torus\(n\)-adjacent to the unknot\(n\)-trivializermodel knot


Mathematics Subject Classification ID


Related Items

Knots without cosmetic crossings, Knot adjacency and fibering, Knot adjacency from a surgical view of Alexander invariants, ON 2-ADJACENCY RELATION OF TWO-BRIDGE KNOTS AND LINKS, SURGERY n-TRIVIALITY AND COMPANION TORI, 3-ADJACENCY RELATION OF TWO-BRIDGE KNOTS AND LINKS, Strongly \(n\)-trivial links are boundary links, Alexander polynomial, finite type invariants and volume of hyperbolic knots, ON 2-ADJACENCY OF CLASSICAL PRETZEL KNOTS



Cites Work

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  • A new numerical invariant of knots induced from their regular diagrams
  • Link genus and the Conway moves
  • Shortening curves on surfaces
  • Surfaces, surgery and unknotting operations
  • Link theory in manifolds
  • Unknotting number, genus and companion tori
  • On knot adjacency
  • STRONGLY $n$ -TRIVIAL KNOTS
  • SURGERY n-TRIVIALITY AND COMPANION TORI
  • Foliations and the topology of 3-manifolds
  • Knots
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