The classification of linked $3$-manifolds in $6$-space

Abstract

Let $M_1$ and $M_2$ be closed connected orientable $3$-manifolds. We classify the sets of smooth and piecewise linear isotopy classes of embeddings $M_1\bigsqcup M_2\to S^6$.

References in corpus (5)

• Embedding and knotting of manifolds in Euclidean spaces
• A classification of smooth embeddings of 3-manifolds in 6-space
• Classification of knotted tori
• Embeddings of non-simply-connected 4-manifolds in 7-space. I. Classification modulo knots
• Embeddings of non-simply-connected 4-manifolds in 7-space. II. On the smooth classification