HOMOLOGY 3-SPHERES IN CODIMENSION THREE

DOI10.1142/S0129167X06003771zbMath1113.57013arXivmath/0506464OpenAlexW2014881676MaRDI QIDQ3421608

Masamichi Takase

Publication date: 7 February 2007

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0506464

zbMATH Keywords

Hopf invariantHaefliger knothomology \(3\)-spheredifferentiable embeddingRohlin (Rokhlin) invariant

Mathematics Subject Classification ID

Embeddings in differential topology (57R40) Singularities of differentiable mappings in differential topology (57R45) Isotopy in differential topology (57R52)

Related Items (4)

The Hopf invariant of a Haefliger knot ⋮ A classification of smooth embeddings of 3-manifolds in 6-space ⋮ A classification of smooth embeddings of 4-manifolds in 7-space. I. ⋮ An Ekholm-Szűcs-type formula for codimension one immersions of 3-manifolds up to bordism

Cites Work

• Homology cobordism group of homology 3-spheres
• Knotted (4k-1)-spheres in 6k-space
• The topology of four-dimensional manifolds
• The topology of 4-manifolds
• Handlebody construction of Stein surfaces
• An application of gauge theory to four dimensional topology
• A geometric formula for Haefliger knots
• Noninvolutory Hopf algebras and \(3\)-manifold invariants
• Embeddings and compressions of polyhedra and smooth manifolds
• Differentiable embeddings of \(S^ n\) in \(S^{n+q}\) for \(q > 2\)
• Plongements de variétés différentiables orientées de dimension 4k dans \(R^{6k+1}\)
• Semi-free circle actions on spheres
• Smooth Involutions on Homotopy CP 3
• On the Structure of Manifolds

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