On a construction in bordism theory

Abstract

In [2], R. Arthan and S. Bullett pose the problem of representing generators of the complex bordism ringMU*by manifolds which aretotally normally split; i.e. whose stable normal bundles are split into a sum of complex line bundles. This has recently been solved by Ochanine and Schwartz [8] who use a mixture ofJ-theory and surgery theory to establish several results, including the following.