11 papers
Large-scale quantization of trace I: Finite propagation operators
Matthias Ludewig, Guo Chuan Thiang
Inspired by parallel developments in coarse geometry in mathematics and exact macroscopic quantization in physics, we present a family of general trace formulae which are universal…
Transgressing the algebraic coarse character map
Alexander Engel, Matthias Ludewig
We pursue an old conjecture of John Roe about the algebraic K-theory of the algebra of finite propagation, locally trace-class operators, namely that transgressing the algebraic co…
Quantum cellular automata are a coarse homology theory
Matthias Ludewig
We show that quantum cellular automata naturally form the degree-zero part of a coarse homology theory. The recent result of Ji and Yang that the space of QCA forms an Omega-spectr…
Classification of adjustments on central crossed modules
Matthias Ludewig, Konrad Waldorf
Adjustments are additional structures on crossed modules of Lie groups, serving as a tool in higher gauge theory to circumvent the fake flatness of connections on 2-bundles. In thi…
The Chiral Anomaly of the Free Fermion in Functorial Field Theory
Matthias Ludewig, Saskia Roos
When trying to cast the free fermion in the framework of functorial field theory, its chiral anomaly manifests in the fact that it assigns the determinant of the Dirac operator to…
Breaking symmetries for equivariant coarse homology theories
Ulrich Bunke, Matthias Ludewig
We describe a symmetry breaking construction in coarse geometry which allows to obtain information about equivariant coarse homology classes by restriction to smaller groups and sp…