Oziride Manzoli Neto
Institute of Mathematical Science, University of São Paulo
Let be a tubular neighborhood of an embedding of an orientable manifold Fk in Sk+2. In this work we define embeddings of certain manifolds Mk in VF. These manifolds are defined in such a way that the map restricted to M is an n-covering map of Fk. We call these manifolds satellites of Fk, since it is a generalization of a satellite construction in the classical case. We study the relation between the Alexander Modules of the two embeddings using a special decomposition of the Abelian Covering of Sk+2-VM. For the case of orientable surfaces in S4 we are able to get better relations and examples.