Reconstructing manifolds from truncations of spectral triples

DOI10.1016/j.geomphys.2020.103921zbMath1468.46077arXiv1912.09227OpenAlexW3085190864MaRDI QIDQ2219921

Lisa Glaser, Abel B. Stern

Publication date: 21 January 2021

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.09227

zbMATH Keywords

noncommutative geometryspectral truncationspectral geometrygraph embeddingoperator systemsConnes distance

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) Noncommutative geometry (à la Connes) (58B34)

Related Items (13)

Bootstrapping Dirac ensembles ⋮ On multimatrix models motivated by random noncommutative geometry. II: A Yang-Mills-Higgs matrix model ⋮ A ribbon graph derivation of the algebra of functional renormalization for random multi-matrices with multi-trace interactions ⋮ Tolerance relations and quantization ⋮ Tensors and algebras: an algebraic spacetime interpretation for tensor models ⋮ Convergence of Fourier truncations for compact quantum groups and finitely generated groups ⋮ Computational explorations of a deformed fuzzy sphere ⋮ Convergence of inductive sequences of spectral triples for the spectral propinquity ⋮ On multimatrix models motivated by random noncommutative geometry. I: The functional renormalization group as a flow in the free algebra ⋮ Spectral truncations in noncommutative geometry and operator systems ⋮ One-loop corrections to the spectral action ⋮ Truncated geometry on the circle ⋮ From noncommutative geometry to random matrix theory

Uses Software

• Python
• SCS
• BProbe
• PointForge
• SMACOF

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