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math-ph2019
Reconstructing manifolds from truncated spectral triples
Lisa Glaser, Abel B. Stern
We explore the geometric implications of introducing a spectral cut-off on Riemannian manifolds. This is naturally phrased in the framework of non-commutative geometry, where we wo…
math-ph2019
Understanding truncated non-commutative geometries through computer simulations
Lisa Glaser, Abel Stern
When aiming to apply mathematical results of non-commutative geometry to physical problems the question arises how they translate to a context in which only a part of the spectrum…