Dirac eigenvalues for generic metrics on three-manifolds

Abstract

We show that for generic Riemannian metrics on a closed spin manifold of dimension three the Dirac operator has only simple eigenvalues.

Updated version: comment on a slight mistake around Proposition 3.2, see footnote on page 4

References in corpus (1)

• Surgery and the Spectrum of the Dirac Operator

Cited by in corpus (4)

• Prescribing eigenvalues of the Dirac operator
• The spectral action and cosmic topology
• Dirac eigenspinors for generic metrics
• An Obstruction to Higher-Dimensional Kernel of Dirac Operators