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Genus one knots which admit (1,1)-decompositions

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Publication:2782649
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DOI10.1090/S0002-9939-01-06314-6zbMath0996.57004OpenAlexW1495885897MaRDI QIDQ2782649

Hiroshi Matsuda

Publication date: 8 April 2002

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-06314-6


zbMATH Keywords

tunnel number2-bridge knot\((11)\)-decomposition


Mathematics Subject Classification ID


Related Items

Classification of genus two knots which admit a \((1,1)\)-decomposition ⋮ There are no unexpected tunnel number one knots of genus one ⋮ Computing genera of satellite tunnel number one knots and torti-rational knots ⋮ On classification of genus g knots which admit a (1,1)-decomposition ⋮ Knot Floer homology of \((1,1)\)-knots



Cites Work

  • Unnamed Item
  • On unknotting tunnels for knots
  • A generalized bridge number for links in 3-manifolds
  • Tunnel number one genus one non-simple knots
  • On nonsimple 3-manifolds and 2-handle addition
  • Neuwirtsche Knoten und Flächenabbildungen
  • Isotopy types of knot spanning surfaces
  • Genus one 1-bridge positions for the trivial knot and cabled knots
  • SATELLITE KNOTS OF FREE GENUS ONE
  • Examples of tunnel number one knots which have the property ‘1 + 1 = 3’
  • Knots
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