Abstract:
The author studies the set Iso(Sm,Mn) of smooth isotopy classes of embeddings of a sphere Sm in a manifold Mn having homotopy type K(π,1), where 1<m<n−2. He obtains an explicit expression for Iso(Sm,Mn) in terms of the group π=π1(Mn) and the well-known Haefliger groups of knots and finite links of the sphere Sm in Rn.
Bibliography: 7 items.