Fixed point theorems from a de Rham perspective (Q1024910)

The author considers new extensions of the fixed point formulae of Lefschetz type for differential complexes over a smooth oriented Riemannian manifold \(M\), based on the de Rham perspective for de Rham and Dolbeault complexes. In particular, some larger classes of submanifolds or even closed currents in \(M\times M\) are involved, and some geometries on \(M\) compatible with a suitable index form, are looked for.