21 citations · 132 across the 37 of their papers we have counts for
4 papers · 1 filter
Construction of the Supersymmetric Path Integral: A Survey
Matthias Ludewig
This is a survey based on joint work with Florian Hanisch and Batu Güneysu reporting on a rigorous construction of the supersymmetric path integral associated to compact spin manif…
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…
Good Wannier bases in Hilbert modules associated to topological insulators
Matthias Ludewig, Guo Chuan Thiang
For a large class of physically relevant operators on a manifold with discrete group action, we prove general results on the (non-)existence of a basis of smooth well-localised Wan…
The Chern Character of θ-summable Fredholm Modules over dg Algebras and Localization on Loop Space
Batu Güneysu, Matthias Ludewig
We introduce the notion of a {\vartheta}-summable Fredholm module over a locally convex dg algebra Ω and construct its Chern character as a cocycle on the entire cyclic complex of…