Detecting Whitney disks for link maps in the four-sphere

DOI10.1142/S0218216517500778zbMath1380.57026OpenAlexW2748168467MaRDI QIDQ4596291

Ash Lightfoot

Publication date: 1 December 2017

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218216517500778

zbMATH Keywords

2-sphereimmersionWhitney disklink homotopy invariantself-intersection number

Mathematics Subject Classification ID

Embeddings and immersions in topological manifolds (57N35)

Cites Work

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• An invariant of link homotopy in dimension four
• On link maps and their homotopy classification
• Proposals for unknotted surfaces in four-spaces
• All two dimensions links are null homotopic
• Higher order intersection numbers of \(2\)-spheres in \(4\)-manifolds
• Homotopy links
• Link groups
• On invariants of link maps in dimension four
• The Classification of Links up to Link-Homotopy
• Link Homotopy With One Codimension Two Component
• Spheres May Link Homotopically in 4-Space
• Vanishing of a certain kind of Vassiliev invariants of 2-knots

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