Recognising Eschenburg spaces
by Diarmuid Crowley
Abstract: Riemannian manifold with positive sectional curvature are rare but many examples, including the Eschenburg spaces, are found in dimension 7 and recently Grove, Wilking and Ziller identified a family of cohomogeneity 7-manifolds, called the Q-family, which are candidates to admit positive sectional curvature.
In this talk I will define a modified Kreck-Stolz invariant which shows that no member of the Q-family is homotopy equivalent to an Eschenburg space.
This is joint work with Owen Dearricott.