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math.GT2005★ 5 cited
The Hopf invariant of a Haefliger knot
Masamichi Takase
We show that Haefliger's differentiable (6,3)-knot bounds, in 6-space, a 4-manifold (a Seifert surface) of arbitrarily prescribed signature. This implies, according to our previous…
math.GT2005★ 6 cited
Homology 3-spheres in codimension three
Masamichi Takase
For smooth embeddings of an integral homology 3-sphere in the 6-sphere, we define an integer invariant in terms of their Seifert surfaces. Our invariant gives a bijection between t…