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Thin position for knots and 3-manifolds

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Publication:930740
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DOI10.1016/j.topol.2007.12.006zbMath1155.57005OpenAlexW2074595860MaRDI QIDQ930740

Jennifer Schultens, Hugh Nelson Howards

Publication date: 1 July 2008

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

Full work available at URL: https://doi.org/10.1016/j.topol.2007.12.006


zbMATH Keywords

thin positionbridge positiondouble branched cover3-manifold decomposition


Mathematics Subject Classification ID

Low-dimensional topology of special (e.g., branched) coverings (57M12)


Related Items

RECTANGLE CONDITION FOR COMPRESSION BODIES AND 2-FOLD BRANCHED COVERINGS ⋮ Unperturbed weakly reducible non-minimal bridge positions ⋮ Parity criterion for unstabilized Heegaard splittings



Cites Work

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  • Incompressible surfaces in 2-bridge knot complements
  • Foliations and the topology of 3-manifolds. III
  • Splitting the PL involutions of nonprime 3-manifolds
  • Diskbusting elements of the free group
  • Heegaard-Zerlegungen der 3-Sphäre
  • Thin position and bridge number for knots in the 3-sphere
  • Über eine numerische Knoteninvariante
  • Scindements de Heegaard des espaces lenticulaires
  • Additivity of bridge numbers of knots
  • Thin position for a connected sum of small knots
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