Families of spectral triples and foliations of space(time)

DOI10.1063/1.5021305zbMath1391.83074arXiv1711.07299OpenAlexW2769795481WikidataQ129627655 ScholiaQ129627655MaRDI QIDQ4577092

Koen van den Dungen

Publication date: 16 July 2018

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.07299

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) Foliations (differential geometric aspects) (53C12) Methods of noncommutative geometry in general relativity (83C65) Foliations in differential topology; geometric theory (57R30) Noncommutative geometry (à la Connes) (58B34) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15)

Related Items (2)

An index theorem on asymptotically static spacetimes with compact Cauchy surface ⋮ The APS-index and the spectral flow

Cites Work

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• Generalised time functions and finiteness of the Lorentzian distance
• Indefinite Kasparov modules and pseudo-Riemannian manifolds
• Pseudo-Riemannian spectral triples and the harmonic oscillator
• Causality in noncommutative two-sheeted space-times
• Global eikonal condition for Lorentzian distance function in noncommutative geometry
• A noncommutative view on topology and order
• Spinors and diffeomorphisms
• Hamiltonian gravity and noncommutative geometry
• Krein spectral triples and the fermionic action
• Generalized cylinders in semi-Riemannian and spin geometry
• Global hyperbolicity and completeness
• On the spectral characterization of manifolds
• Spectral flow and the unbounded Kasparov product
• Exploring the causal structures of almost commutative geometries
• Smoothness of time functions and the metric splitting of globally hyperbolic spacetimes
• On noncommutative and pseudo-Riemannian geometry
• An algebraic formulation of causality for noncommutative geometry
• Temporal Lorentzian spectral triples
• Lorentzian version of the noncommutative geometry of the standard model of particle physics
• SPECTRAL GEOMETRY AND CAUSALITY
• Local covariant quantum field theory over spectral geometries
• Spinors and the Dirac operator on hypersurfaces. I. General theory
• ASPECTS OF NONCOMMUTATIVE LORENTZIAN GEOMETRY FOR GLOBALLY HYPERBOLIC SPACETIMES
• A Relativist's Toolkit
• A spectral quadruple for de Sitter space
• The noncommutative Lorentzian cylinder as an isospectral deformation
• The disappearance of causality at small scale in almost-commutative manifolds
• From quantum gravity to quantum field theory via noncommutative geometry

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