Classification of Smooth Embeddings of 3-manifolds in the 6-space


We work in the smooth category. If there are knotted embeddings S → R, which often happens for 2m < 3n+4, then no concrete complete description of embeddings of n-manifolds into R up to isotopy was known, except for disjoint unions of spheres. Let N be a closed connected orientable 3-manifold. Our main result is the following description of the set Emb(N… (More)


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