Some rational computations of the Waldhausen algebraic K theory.
Let be an oriented cusped hyperbolic 3-manifold and let be a topological ideal triangulation of . We give a characterization for to be isotopic to an ideal geodesic triangulation; moreover we give a characterization for to flatten into a partially flat triangulation. Finally we prove that straightening combinatorially equivalent topological ideal cell decompositions gives the same geodesic decomposition, up to isometry.
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.The methods involve some...