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math-ph2017★ 4 cited
Families of spectral triples and foliations of space(time)
Koen van den Dungen
We study a noncommutative analogue of a spacetime foliated by spacelike hypersurfaces, in both Riemannian and Lorentzian signatures. First, in the classical commutative case, we sh…
math-ph2015★ 30 cited
Krein spectral triples and the fermionic action
Koen van den Dungen
Motivated by the space of spinors on a Lorentzian manifold, we define Krein spectral triples, which generalise spectral triples from Hilbert spaces to Krein spaces. This Krein spac…