Immersions of 3-sphere into 4-space associated with Dynkin diagrams of typesAandD

DOI10.1112/blms/bdv044zbMath1330.57044arXiv1309.6526OpenAlexW2131386788MaRDI QIDQ5501664

Shumi Kinjo

Publication date: 14 August 2015

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.6526

zbMATH Keywords

3-sphereimmersionDynkin diagramlens spacesSmale invariants

Mathematics Subject Classification ID

Singularities of differentiable mappings in differential topology (57R45) Immersions in differential topology (57R42) Stable homotopy of spheres (55Q45)

Cites Work

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• Differentiable periodic maps. 2nd ed
• On the immersion of \(n\)-manifolds in \((n+1)\)-space
• The classification of immersions of spheres in Euclidean spaces
• The Smale invariant of a knot
• Bordism and regular homotopy of low-dimensional immersions
• Quadruple points of 3-manifolds in \(S^4\)
• Geometric formulas for Smale invariants of codimension two immersions
• Seifert manifolds
• Singular Seifert surfaces and Smale invariants for a family of 3-sphere immersions
• Geometric Residue Theorems
• Stable Maps between 4-Manifolds and Elimination of their Singularities
• Cobordism groups of immersions

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