Abstract for Sfb Preprint No. 361

A comparison of the eigenvalues of the Dirac and Laplace operator on the two-dimensional torus I. Agricola, B. Ammann and T. Friedrich We compare the eigenvalues of the Dirac and Laplace operator on a two-dimensional torus with respect to the trivial spin structure. In particular, we compute their variation up to oder 4 upon deformation of the flat metric, study the corresponding Hamiltonian and discuss several families of examples.