51 citations · 138 across the 6 of their papers we have counts for
6 papers
Analytic index theory and spectral flow in real Hilbert -modules
Chris Bourne, Alan L. Carey, Koen van den Dungen +1
We consider the analytic index and spectral flow of Fredholm operators on Hilbert -modules. Our spaces and algebras are equipped with a real structure, so the analytic index a…
Fredholm complexes of Hilbert C*-modules
Brian Villegas-Villalpando, Koen van den Dungen
We investigate complexes of Hilbert C*-modules, which are cochain complexes with (unbounded) regular operators between Hilbert C*-modules as differential maps. In particular, we pr…
On globally non-trivial almost-commutative manifolds
Jord Boeijink, Koen van den Dungen
Within the framework of Connes' noncommutative geometry, we define and study globally non-trivial (or topologically non-trivial) almost-commutative manifolds. In particular, we foc…
Pseudo-Riemannian spectral triples and the harmonic oscillator
Koen van den Dungen, Mario Paschke, Adam Rennie
We define pseudo-Riemannian spectral triples, an analytic context broad enough to encompass a spectral description of a wide class of pseudo-Riemannian manifolds, as well as their…
Particle Physics from Almost Commutative Spacetimes
Koen van den Dungen, Walter D. van Suijlekom
Our aim in this review article is to present the applications of Connes' noncommutative geometry to elementary particle physics. Whereas the existing literature is mostly focused o…
Electrodynamics from Noncommutative Geometry
Koen van den Dungen, Walter D. van Suijlekom
Within the framework of Connes' noncommutative geometry, the notion of an almost commutative manifold can be used to describe field theories on compact Riemannian spin manifolds. T…