$3$-manifolds with planar presentations and the width of satellite knots

DOI10.1090/S0002-9947-05-03767-0zbMath1102.57004arXivmath/0304271OpenAlexW1542461420MaRDI QIDQ5469950

Jennifer Schultens, Martin G. Scharlemann

Publication date: 29 May 2006

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

Full work available at URL: https://arxiv.org/abs/math/0304271

zbMATH Keywords

widththin positionsatellite knotconnected-sum

Mathematics Subject Classification ID

Related Items (13)

Decomposing sutured monopole and instanton Floer homologies ⋮ Natural properties of the trunk of a knot ⋮ Links, bridge number, and width trees ⋮ Width is not additive ⋮ Combinatorial minimal surfaces in pseudomanifolds and other complexes ⋮ COMPANIONS OF THE UNKNOT AND WIDTH ADDITIVITY ⋮ Width of a satellite knot and its companion ⋮ Mp-small summands increase knot width ⋮ Additive invariants for knots, links and graphs in 3-manifolds ⋮ Knots and surfaces ⋮ Trunk of satellite and companion knots ⋮ Height, trunk and representativity of knots ⋮ Knots with compressible thin levels

Cites Work

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• Über eine numerische Knoteninvariante
• Handlebody Complements in the 3-Sphere: A Remark on a Theorem of Fox
• Additivity of bridge numbers of knots
• Tunnel numbers of small knots do not go down under connected sum
• There are Knots whose Tunnel Numbers go down under Connected Sum
• Knots
• Thin position for a connected sum of small knots

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