Welcome to SPP 2026
This is the platform of a coordinated research programme in mathematics, funded by the German Research Foundation (DFG). It comprises 80 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.
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Latest publications
Manifolds with many Rarita-Schwinger fields
Christian Bär, Rafe Mazzeo
The Rarita-Schwinger operator is the twisted Dirac operator restricted to 3/2-spinors. Rarita-Schwinger fields are solutions of this operator which…
Sphericity of kappa-classes and positive curvature via block bundles
Georg Frenck, Jens Reinhold
Given a manifold $M$, we completely determine which rational $\kappa$-classes are non-trivial for (fiber homotopy trivial) $M$-bundles over the…
Spaces of positive intermediate curvature metrics
Georg Frenck, Jan-Bernhard Kordaß
In this paper we study spaces of Riemannian metrics with lower bounds on intermedi- ate curvatures. We show that the spaces of metrics of…
H-Space structures on spaces of metrics of positive scalar curvature
Georg Frenck
We construct and study an H-space multiplication on \(\mathcal{R}^+(M)\) for manifolds M which are nullcobordant in their own tangential 2-type. This…