This is the platform of a coordinated research programme in mathematics, funded by the German Research Foundation (DFG). It comprises 33 research projects in the fields of differential geometry, geometric topology, and global analysis. More than 80 researchers from doctoral to professorial level and based at more than 20 German and Swiss universities are represented in this programme.
Strong Novikov conjecture for low degree cohomology and exotic group C*-algebras
P. Antonini, A. Buss, A. Engel, T. Siebenand
We strengthen a result of Hanke-Schick about the strong Novikov conjecture for low degree cohomology by showing that their non-vanishing result for...
Moduli space of metrics of nonnegative sectional or positive Ricci curvature on homotopy real projective spaces
Anand Dessai, David González-Álvaro
We show that the moduli space of metrics of nonnegative sectional curvature on every homotopy RP^5 has infinitely many path components. We also show...
We construct examples of fibered three-manifolds with fibered faces all of whose monodromies extend to a handlebody.
A flow approach to Bartnik's static metric extension conjecture in axisymmetry
Carla Cederbaum, Oliver Rinne, Markus Strehlau
We investigate Bartnik's static metric extension conjecture under the additional assumption of axisymmetry of both the given Bartnik data and the...