Topology of covers and the spectral theory of geometric operators

  • Steven Hurder
  • Published 1993


For a compact smooth manifold M , the spectrum σ(DM ) ⊂ R of a symmetric elliptic differential operator DM acting on the sections of an Hermitian vector bundle EM → M is discrete, and the points λ ∈ σ(DM ) correspond to smooth “eigensections” of EM of finite multiplicity. If the manifold M is complete but non-compact, the action of DM on the compactly… (More)