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A knot with destabilized bridge spheres of arbitrarily high bridge number

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Publication:2801738
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DOI10.1112/jlms/jdw004zbMath1341.57004arXiv1501.06263OpenAlexW1564717942MaRDI QIDQ2801738

Kazuto Takao, Tsuyoshi Kobayashi, Yeonhee Jang, Makoto Ozawa

Publication date: 21 April 2016

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.06263


Mathematics Subject Classification ID


Related Items

Unperturbed weakly reducible non-minimal bridge positions, Nonminimal bridge position of 2-cable links, Knots and surfaces



Cites Work

  • Unnamed Item
  • Properties of knots preserved by cabling
  • Flipping bridge surfaces and bounds on the stable bridge number
  • Classification of 3-bridge arborescent links
  • Knoten mit zwei Brücken
  • Volumes of hyperbolic three-manifolds
  • Irreducible Heegaard splittings of Seifert fibered spaces are either vertical or horizontal
  • Dehn surgery on arborescent knots
  • Classification of 3-bridge spheres of 3-bridge arborescent links
  • A locally minimal, but not globally minimal, bridge position of a knot
  • Nonminimal bridge positions of torus knots are stabilized
  • Minimal Plat Representations of Prime Knots and Links are not Unique
  • On the Stable Equivalence of Plat Representations of Knots and Links
  • Plat presentations for link groups
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