English

Dirac eigenvalues for generic metrics on three-manifolds

Differential Geometry 2013-07-04 v2

Abstract

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

Keywords

Cite

@article{arxiv.math/0204232,
  title  = {Dirac eigenvalues for generic metrics on three-manifolds},
  author = {Mattias Dahl},
  journal= {arXiv preprint arXiv:math/0204232},
  year   = {2013}
}

Comments

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