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

Authors
Agricola, I Ammann, B Friedrich, T
Citation
I. Agricola et al., A comparison of the eigenvalues of the Dirac and Laplace operators on a two-dimensional torus, MANUSC MATH, 100(2), 1999, pp. 231-258
Citations number
10
Categorie Soggetti
Mathematics
Journal title
MANUSCRIPTA MATHEMATICA
ISSN journal
00252611 → ACNP
Volume
100
Issue
2
Year of publication
1999
Pages
231 - 258
Database
ISI
SICI code
0025-2611(199910)100:2<231:ACOTEO>2.0.ZU;2-J
Abstract
We compare the eigenvalues of the Dirac and Laplace operator on a two-dimen sional 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 example s.