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

Seminários do IMPA

Geometria Diferencial

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

UPENN
Data
Terça-feira, 17 de julho de 2018, 15:30
Local
Sala 236
Resumo

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.