The singularity method and immersions of m-manifolds into manifolds of dimensions 2m − 2, 2m − 3 and 2m − 4

Abstract

The singularity method gives both a full obstruction theory for vector bundle monomorphisms and in particular for immersions in the metastable dimension range, and a computational approach to the relevant obstruction groups. Thus it becomes a matter of easy routine to calculate the indeterminacies of classical second and third order obstructions. Often these indeterminacies are so large that only Stiefel-Whitney classes survive.KeywordsExact SequenceVector BundleLine BundleBordism ClassClassical ObstructionThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.