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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 is known.
The dirac operator on the fuzzy sphere
H. Grosse and P. Prešnajder · 1995
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The Spectral Action Principle
Ali H. Chamseddine and Alain Connes · 1997
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The Spectral Action Principle
Ali H. Chamseddine and Alain Connes · 1997
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Classification of finite spectral triples
Thomas Krajewski · 1998
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Discrete approaches to quantum gravity in four dimensions
Renate Loll · 1998
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A short survey of noncommutative geometry
Alain Connes · 2000
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Noncommutative manifolds, the instanton algebra and isospectral deformations
Alain Connes and Giovanni Landi · 2001
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Fuzzy complex projective spaces and their star-products
A.P. Balachandran, Brian P. Dolan, J. Lee, X. Martin, and Denjoe O’Connor · 2002
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Placement by thermodynamic simulated annealing
Juan de Vicente, Juan Lanchares, and Román Hermida · 2003
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A fuzzy three sphere and fuzzy tori
Brian P Dolan and Denjoe O’Connor · 2003
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The spectral geometry of the equatorial podleś sphere
Ludwik Dabrowski, Giovanni Landi, Mario Paschke, and Andrzej Sitarz · 2005
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Gravity and the standard model with neutrino mixing
Ali H. Chamseddine, Alain Connes, and Matilde Marcolli · 2007
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Why the standard model
Ali H Chamseddine and Alain Connes · 2008
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Moduli spaces of dirac operators for finite spectral triples
Branimir Ćaćić · 2011
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On the spectral characterization of manifolds
Alain Connes · 2013
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Metric properties of the fuzzy sphere
Geometry and the quantum: Basics
Ali H. Chamseddine, Alain Connes, and Viatcheslav Mukhanov · 2014
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Spectral geometry with a cut-off: topological and metric aspects
Francesco D’Andrea, Fedele Lizzi, and Pierre Martinetti · 2014
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Matrix geometries and fuzzy spaces as finite spectral triples
John W. Barrett · 2015
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Monte carlo simulations of random non-commutative geometries
John W. Barrett and Lisa Glaser · 2016
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Scaling behaviour in random non-commutative geometries
Lisa Glaser · 2017
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Finite-rank approximations of spectral zeta residues
Abel B. Stern · 2018
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Francesco D’Andrea, Fedele Lizzi, and Joseph C Várilly · 2013
Cited alongside, same era.
Elements of noncommutative geometry
José M Gracia-Bondía, Joseph C Várilly, and Héctor Figueroa · 2013
Cited alongside, same era.
The spin-foam approach to quantum gravity
Alejandro Perez · 2013
Cited alongside, same era.
Work in preparation
Alain Connes and Walter van Suijlekom
Cited in the paper.
Spectral estimators for finite non-commutative geometries
John W. Barrett, Paul Druce, and Lisa Glaser · 2019
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Reconstructing manifolds from truncated spectral triples
Lisa Glaser and Abel B. Stern · 2019
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