10.07.2025, 16:15
– Raum 1.22
Forschungsseminar Differentialgeometrie
Cancellation properties of exotic 4-dimensional positive scalar curvature metrics
Johannes Ebert (Münster)
We consider a perturbation of the de Rham complex on a compact manifold with boundary. This perturbation goes beyond the framework of complexes, and so cohomology does not apply to it. On the other hand, its curvature is "small" hence there is a natural way to introduce an Euler characteristic and develop a Lefschetz theory for the perturbation. This work is intended as an attempt to develop a cohomology theory for arbitrary sequences of linear mappings.