A comparison of the eigenvalues of the Dirac and Laplace operator on the two-dimensional torus

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77814We 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 order 4 upon deformation of the flat metric, study the corresponding Hamiltonian and discuss several families of examples.Latex2.09, 28 pages, with figuresDifferential Geometry58G25, 53A05A comparison of the eigenvalues of the Dirac and Laplace operator on the two-dimensional torustext