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math.KT2024
A higher index on finite-volume locally symmetric spaces
Hao Guo, Peter Hochs, Hang Wang
Let be a connected, real semisimple Lie group. Let be maximal compact, and let be discrete and such that has finite volume. If the real rank of …
math.OA2024★ 1 cited
Equivariant Spectral Flow for Families of Dirac-type Operators
Peter Hochs, Aquerman Yanes
In the setting of a proper, cocompact action by a locally compact, unimodular group on a Riemannian manifold, we construct equivariant spectral flow of paths of Dirac-type oper…
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…