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

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

1998-12-08

arxiv.org/abs/math/9812044v2

Manuscripta Math. 100, no. 2, 231-258 (1999)

Mathematics

Differential Geometry

Latex2.09, 28 pages, with figures

Scientific paper

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 order 4 upon deformation of the
flat metric, study the corresponding Hamiltonian and discuss several families
of examples.

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