4 papers
A Short Proof of the Localization Formula for the Loop Space Chern Character of Spin Manifolds
Matthias Ludewig, Zelin Yi
In this note, we give a short proof of the localization formula for the loop space Chern character of a compact Riemannian spin manifold M, using the rescaled spinor bundle on the…
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 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…
Heat Kernels as Path Integrals
Matthias Ludewig
In this survey article, we review the relation between heat kernels and path integrals. In particular, we review recent results on the approximation of the Wiener measure on compac…