Papers

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On multimatrix models motivated by random noncommutative geometry II: A Yang-Mills-Higgs matrix model

Carlos I. Perez-Sanchez
May 03, 2021
finite almost-commutative manifolds, noncommutative geometry, Gauge theory, random noncommutative geometry, quantum gravity
open access link Ann. Henri Poincaré

On multimatrix models motivated by random Noncommutative Geometry I: the Functional Renormalization Group as a flow in the free algebra

Carlos I. Perez-Sanchez
July 21, 2020
Renormalization Group, noncommutative geometry, matrix models, fuzzy geometry, quantum spacetime, large-N limit, free probability
open access link Ann Henri Poincaré 22:3095-3148, 2021

Computing the spectral action for fuzzy geometries: from random noncommutatative geometry to bi-tracial multimatrix models

Carlos I. Perez-Sanchez
December 31, 2019
noncommutative geometry, spectral triple, random fuzzy geometries, multimatrix models
open access link J. Noncommut. Geom. 16 (2022), no. 4, pp. 1137-1178

Metrics and causality on Moyal planes

Nicolas Franco, Jean-Christophe Wallet
October 27, 2016
noncommutative geometry, spectral distance, causal structures, Moyal spaces, quantum locally compact spaces.
open access link Contemporary Mathematics 676 (2016) 147-173

Krein spectral triples and the fermionic action

Koen van den Dungen
May 08, 2015
noncommutative geometry
open access link Math. Phys. Anal. Geom. 19 (2016)

Indefinite Kasparov modules and pseudo-Riemannian manifolds

Koen van den Dungen, Adam Rennie
March 24, 2015
noncommutative geometry
open access link doi:10.1007/s00023-016-0463-z

Temporal Lorentzian Spectral Triples

Nicolas Franco
September 02, 2014
noncommutative geometry, Lorentzian geometry, spectral triples
open access link Rev. Math. Phys., Vol. 26, No. 8, 1430007 (2014)

The $C(X)$-algebra of a net and index theory

Giuseppe Ruzzi, Ezio Vasselli
April 30, 2014
Superselection Theory, QFT on curved spacetimes, noncommutative geometry
open access link Journal of Functional Analysis 267 (2014) 112–143

Exploring the Causal Structures of Almost Commutative Geometries

Nicolas Franco, Michał Eckstein
January 28, 2014
noncommutative geometry, causality, lorentzian spectral triples
open access link SIGMA 10 (2014), 010, 23 pages

Non-local in time perturbations of linear hyperbolic PDEs

Gandalf Lechner, Rainer Verch
July 06, 2013
hyperbolic partial differential equations, noncommutative geometry, star products, deformations
open access link J. Noncomm. Geometry 9 (3), 999-1040 (2015) article file

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