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.
Latest publications
Logarithmic connections, WZNW action, and moduli of parabolic bundles on the sphere
Claudio Meneses, Leon A. Takhtajan
Moduli spaces of stable parabolic bundles of parabolic degree \(0\) over the Riemann sphere are stratified according to the Harder-Narasimhan…
Thin homotopy and the holonomy approach to gauge theories
Claudio Meneses
We survey several mathematical developments in the holonomy approach to gauge theory. A cornerstone of such approach is the introduction of group…
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…