Width of a satellite knot and its companion

DOI10.2140/agt.2018.18.1zbMath1386.57010arXiv1412.3874OpenAlexW3103354793MaRDI QIDQ679774

Zhenkun Li, Qilong Guo

Publication date: 22 January 2018

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.3874

zbMATH Keywords

widthwinding numberthin positionpatternReeb graphsatellite knotscompanion

Mathematics Subject Classification ID

Related Items (3)

Natural properties of the trunk of a knot ⋮ Trunk of satellite and companion knots ⋮ Width of the Whitehead double of a nontrivial knot

Cites Work

• Properties of knots preserved by cabling
• Foliations and the topology of 3-manifolds. III
• Width is not additive
• Über eine numerische Knoteninvariante
• Additivity of bridge numbers of knots
• A lower bound on the width of satellite knots
• $3$-manifolds with planar presentations and the width of satellite knots
• Thin position for a connected sum of small knots

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