Positive scalar curvature in dim?8

We announce a first series of new results and techniques extending the scope of applications of minimal hypersurfaces in scalar curvature geometry. For instance, the restriction to dimensions ?7 which arises from subtle analytic problems in higher dimensions is entirely removed. To cite this article: J. Lohkamp, C. R. Acad. Sci. Paris, Ser. I 343 (2006).