21 citations · 132 across the 37 of their papers we have counts for
5 papers · 1 filter
Coarse geometry and its applications in solid state physics
Matthias Ludewig
In this article, we give an overview over recent developments in the mathematical treatment of topological insulators using coarse geometry.
A representation of the string 2-group
Peter Kristel, Matthias Ludewig, Konrad Waldorf
We construct a representation of the string 2-group on a 2-vector space, aiming to establish it as the categorification of the spinor representation. Our model for 2-vector spaces…
Quantization of conductance and the coarse cohomology of partitions
Matthias Ludewig, Guo Chuan Thiang
We demonstrate how integer quantization of Hall conductance arises from the large-scale geometry of the sample. Specifically, the Hall conductance is a higher-trace pairing of the…
The spinor bundle on loop space
Matthias Ludewig
We give a construction of the spinor bundle of the loop space of a string manifold together with its fusion product, inspired by ideas from Stolz and Teichner. The spinor bundle is…
Lie 2-groups from loop group extensions
Matthias Ludewig, Konrad Waldorf
We give a very simple construction of the string 2-group as a strict Fréchet Lie 2-group. The corresponding crossed module is defined using the conjugation action of the loop group…