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
Hyperkähler metrics on the moduli space of weakly parabolic Higgs bundles
Maximilian Holdt
We use the theory of Gaiotto, Moore and Neitzke to construct a set of Darboux coordinates on the moduli space \(\mathcal{M}\) of weakly parabolic \(SL…
On the existence of holomorphic curves in compact quotients of SL$(2,\mathbb C)$
Indranil Biswas, Sorin Dumitrescu, Lynn Heller, Sebastian Heller
We prove the existence of a pair $(\Sigma ,\, \Gamma)$, where $\Sigma$ is a compact Riemann surface with $\text{genus}(\Sigma)\, \geq\, 2$, and…
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…