P. Hochs

activity

20162020

collaborators

6 papers

math.KT2020

An equivariant Atiyah-Patodi-Singer index theorem for proper actions II: the $K$ -theoretic index

Peter Hochs, Bai-Ling Wang, Hang Wang

Consider a proper, isometric action by a unimodular locally compact group $G$ on a Riemannian manifold $M$ with boundary, such that $M / G$ is compact. Then an equivariant Dirac-type…

math.KT2020

An equivariant orbifold index for proper actions

Peter Hochs, Hang Wang

For a proper, cocompact action by a locally compact group of the form $H \times G$ , with $H$ compact, we define an $H \times G$ -equivariant index of $H$ -transversally elliptic oper…

math.AP2019

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…

math.DG2018

A geometric formula for multiplicities of $K$ -types of tempered representations

Peter Hochs, Yanli Song, Shilin Yu

Let $G$ be a connected, linear, real reductive Lie group with compact centre. Let $K < G$ be compact. Under a condition on $K$ , which holds in particular if $K$ is maximal compact, w…

math.KT2018

Orbital integrals and $K$ -theory classes

Peter Hochs, Hang Wang

Let $G$ be a semisimple Lie group with discrete series. We use maps $K_{0} (C_{r}^{*} G) \to C$ defined by orbital integrals to recover group theoretic information about $G$ , inclu…

math.KT2016

An equivariant index for proper actions II: properties and applications

Peter Hochs, Yanli Song

In the first part of this series, we defined an equivariant index without assuming the group acting or the orbit space of the action to be compact. This allowed us to generalise an…