• B3 Moduli spaces of metrics of positive curvature


    In this project, the space of Riemannian metrics of positive scalar curvature on closed manifolds will be studied. Central research questions concern the nontriviality of secondary index invariants, rigidity theorems for the homotopy type of those spaces and the action of the diffeomorphism group, and the comparison of two iterated loop space structures. We will use techniques from differential geometry, higher index theory, metric geometry, differential topology and homotopy theory.

  • Project Leader & Staff

    Project Leader
    Prof. Dr. Johannes Ebert
    Staff
    Jannes Bantje
    Agnese Mantione
    Dr. Michael Wiemeler
    Dr. Rudolf Zeidler