Minimal Euler Characteristics for Even-Dimensional Manifolds with A Given Fundamental Group

Ponente(s): Alejandro Adem .

In this talk we will discuss estimates for the minimal Euler characteristic of even dimensional manifolds with a given fundamental group and a highly connected universal cover. As an application we obtain new restrictions for non-abelian finite groups arising as fundamental groups of rational homology 4–spheres. This is joint work with Ian Hambleton.