3 papers
math.DG2025
A partitioned manifold index theorem for noncompact hypersurfaces
Peter Hochs, Thijs de Kok
Roe's partitioned manifold index theorem applies when a complete Riemannian manifold is cut into two pieces along a compact hypersurface . It states that a version of the in…
math.KT2025
A higher index and rapidly decaying kernels
Hao Guo, Peter Hochs, Hang Wang
We construct an index of first-order, self-adjoint, elliptic differential operators in the -theory of a Fréchet algebra of smooth kernels with faster than exponential off-diagon…
math.DG2024
A Lefschetz fixed-point formula for noncompact fixed-point sets
Peter Hochs
We obtain an equivariant index theorem, or Lefschetz fixed-point formula, for isometries from complete Riemannian manifolds to themselves. The fixed-point set of such an isometry m…