by

Bernd Ammann, (with Mattias Dahl and Emmanuel Humbert)

Let M be a compact manifold with a fixed spin structure χ. The Atiyah-Singer index theorem implies that for any Riemannian metric on M the dimension of the kernel of the Dirac operator is bounded from below by a topological quantity depending only on M and χ. The main result of the talk is that for generic metrics on M this bound is attained.

Zurück zur Homepage

The Paper was written on 12.12.2006

Last update 12.12.2006