School Seminars and Colloquia

Recognising Eschenburg spaces

Algebraic Topology Seminar

by Diarmuid Crowley

Institution: University of Melbourne
Date: Mon 14th August 2017
Time: 3:30 PM
Location: Peter Hall 107

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.