14 citations · 30 across the 4 of their papers we have counts for
5 papers
Schatten classes for Hilbert modules over commutative C*-algebras
Abel B. Stern, Walter D. van Suijlekom
We define Schatten classes of adjointable operators on Hilbert modules over abelian -algebras. Many key features carry over from the Hilbert space case. In particular, the Sch…
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…
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…
Finite-rank approximations of spectral zeta residues
Abel B. Stern
We use the asymptotic expansion of the heat trace to express all residues of spectral zeta functions as regularized sums over the spectrum. The method extends to those spectral zet…
NSR superstring measures in genus 5
Petr Dunin-Barkowski, Alexey Sleptsov, Abel Stern
Currently there are two proposed ansatze for NSR superstring measures: the Grushevsky ansatz and the OPSMY ansatz, which for genera g<=4 are known to coincide. However, neither the…