C. Bourne

activity

20182026

collaborators

Showing 2019Show all

3 papers · 1 filter

math.KT2019

The Cayley transform in complex, real and graded $K$ -theory

Chris Bourne, Johannes Kellendonk, Adam Rennie

We use the Cayley transform to provide an explicit isomorphism at the level of cycles from van Daele $K$ -theory to $K K$ -theory for graded $C^{*}$ -algebras with a real structure. Isom…

math.KT2019

The KO-valued spectral flow for skew-adjoint Fredholm operators

Chris Bourne, Alan L. Carey, Matthias Lesch +1

In this article we give a comprehensive treatment of a `Clifford module flow' along paths in the skew-adjoint Fredholm operators on a real Hilbert space that takes values in KO${}_…

math-ph2019

On $Z_{2}$ -indices for ground states of fermionic chains

Chris Bourne, Hermann Schulz-Baldes

For parity-conserving fermionic chains, we review how to associate $Z_{2}$ -indices to ground states in finite systems with quadratic and higher-order interactions as well as…

The Cayley transform in complex, real and graded K-theory

The KO-valued spectral flow for skew-adjoint Fredholm operators

On Z2​-indices for ground states of fermionic chains

The Cayley transform in complex, real and graded $K$ -theory

On $Z_{2}$ -indices for ground states of fermionic chains