Para receber por e-mail novas publicações de Seminário de Geometria Diferencial, Clique Aqui!

Seminários do IMPA

Geometria Diferencial

On the Moduli Spaces of Metrics with Nonnegative Sectional Curvature
Jackson Goodman

Terça-feira, 17 de julho de 2018, 15:30
Sala 236

The Kreck-Stolz s invariant is used to distinguish connected components of the moduli space of positive scalar curvature metrics. We use a formula of Kreck and Stolz to calculate the s invariant for metrics on Sn bundles with nonnegative sectional curvature. We then apply it to show that the moduli spaces of metrics with nonnegative sectional curvature on certain 7-manifolds have infinitely many path components. These include the first non-homogeneous examples of this type and certain positively curved Eschenburg and Aloff-Wallach spaces.