Submanifolds of codimension two and homology equivalent manifolds
Sylvain E. Cappell, Julius L. Shaneson (1973)
Annales de l'institut Fourier
Similarity:
In this paper new methods of studying codimension two embeddings of manifolds are outlined. Results are stated on geometric periodicity of knot cobordism. The group of local knots of a manifold in a 2-plane bundle is introduced and computed, and applied to -close embeddings. General codimension two splitting theorems are discussed, with applications to equivariant knots and knot cobordism. A general existence theorem for P.L. (non-locally flat) embeddings is also given. ...