31 citations · 151 across the 36 of their papers we have counts for
4 papers · 1 filter
Coarse geometry and Callias quantisation
Hao Guo, Peter Hochs, Varghese Mathai
Consider a proper, isometric action by a unimodular, locally compact group on a complete Riemannian manifold . For equivariant elliptic operators that are invertible outside…
Normal forms and invariant manifolds for nonlinear, non-autonomous PDEs, viewed as ODEs in infinite dimensions
Peter Hochs, A. J. Roberts
We prove that a general class of nonlinear, non-autonomous ODEs in Fréchet spaces are close to ODEs in a specific normal form, where closeness means that solutions of the normal fo…
An equivariant Atiyah-Patodi-Singer index theorem for proper actions I: the index formula
Peter Hochs, Bai-Ling Wang, Hang Wang
Consider a proper, isometric action by a unimodular locally compact group on a Riemannian manifold with boundary, such that is compact. For an equivariant, elliptic o…
Equivariant Callias index theory via coarse geometry
Hao Guo, Peter Hochs, Varghese Mathai
The equivariant coarse index is well-understood and widely used for actions by discrete groups. We extend the definition of this index to general locally compact groups. We use a s…