Fetching the paper…
Reading the bibliography…
A fuzzy geometry is a certain type of spectral triple whose Dirac operator crucially turns out to be a finite matrix.
Spectral estimators for finite non-commutative geometries
John W. Barrett, Paul Druce, and Lisa Glaser · 1902
Earlier work this paper cites.
Spectral Action in Noncommutative Geometry
Michał Eckstein and Bruno Iochum · 1902
Earlier work this paper cites.
Second Quantization and the Spectral Action
Rui Dong and Masoud Khalkhali · 1903
Earlier work this paper cites.
Dimension and Dimensional Reduction in Quantum Gravity
Steven Carlip · 1904
Earlier work this paper cites.
A survey of spectral models of gravity coupled to matter
Ali H. Chamseddine and Walter D. van Suijlekom · 1904
Earlier work this paper cites.
Random Finite Noncommutative Geometries and Topological Recursion
Shahab Azarfar and Masoud Khalkhali · 1906
Earlier work this paper cites.
Solution of all quartic matrix models
Harald Grosse, Alexander Hock, and Raimar Wulkenhaar · 1906
Earlier work this paper cites.
Lorentzian fermionic action by twisting euclidean spectral triples
Pierre Martinetti and Devashish Singh · 1907
Earlier work this paper cites.
Finite spectral triples for the fuzzy torus
John W. Barrett and James Gaunt · 1908
Earlier work this paper cites.
Understanding truncated non-commutative geometries through computer simulations
Lisa Glaser and Abel Stern · 1909
Earlier work this paper cites.
The standard model, the Pati-Salam model, and “Jordan geometry”
Latham Boyle and Shane Farnsworth · 1910
Earlier work this paper cites.
Noncommutative Geometry, the spectral standpoint
Alain Connes · 1910
Earlier work this paper cites.
A U ( 1 ) B − L U(1)_{B-L} -extension of the Standard Model from Noncommutative Geometry
Fabien Besnard · 1911
Earlier work this paper cites.
Simplicity of certain groups of homomorphisms
David B.A. Epstein · 1970
Earlier work this paper cites.
Commutators of diffeomorphisms
John Mather · 1974
Earlier work this paper cites.
Foliations and groups of diffeomorphisms
William Thurston · 1974
Earlier work this paper cites.
Commutators of diffeomorphisms: II
John Mather · 1975
Earlier work this paper cites.
Perturbative series and the moduli space of Riemann surfaces
Robert C. Penner · 1988
Earlier work this paper cites.
Intersection theory on the moduli space of curves and the matrix Airy function
M. Kontsevich · 1992
Earlier work this paper cites.
The Fuzzy sphere
John Madore · 1992
Earlier work this paper cites.
Noncommutative geometry
Alain Connes · 1994
Earlier work this paper cites.
The Quantum structure of space-time at the Planck scale and quantum fields
Sergio Doplicher, Klaus Fredenhagen, and John E. Roberts · 1995
Earlier work this paper cites.
Invariance theory, the heat equation and the Atiyah-Singer index theorem
Peter B. Gilkey · 1995
Cited alongside, same era.
The Dirac operator on the fuzzy sphere
Harald Grosse and Peter Prešnajder · 1995
Cited alongside, same era.
The Spectral action principle
Ali H. Chamseddine and Alain Connes · 1997
Cited alongside, same era.
Classification of finite spectral triples
Thomas Krajewski · 1998
Cited alongside, same era.
Discrete sprectral triples and their symmetries
Mario Paschke and Andrzej Sitarz · 1998
Cited alongside, same era.
A spectral geometry for the Standard Model without the fermion doubling
Arkadiusz Bochniak and Andrzej Sitarz · 2001
Cited alongside, same era.
A short overview of the “Topological recursion”
Bertrand Eynard · 2014
Later among the works it cites.
Harald Grosse and Raimar Wulkenhaar · 2014
Later among the works it cites.
Asymptotics of unitary multimatrix models: The schwinger-dyson lattice and topological recursion
Alice Guionnet and Jonathan Novak · 2014
Later among the works it cites.
Gauge networks in noncommutative geometry
Matilde Marcolli and Walter D. van Suijlekom · 2014
Later among the works it cites.
Matrix geometries and fuzzy spaces as finite spectral triples
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
A Fuzzy three sphere and fuzzy tori
Brian P. Dolan and Denjoe O’Connor · 2003
Cited alongside, same era.
Moduli spaces of discrete gravity. 1. A Few points…
Alexander Holfter and Mario Paschke · 2003
Cited alongside, same era.
Matrix eigenvalue model: Feynman graph technique for all genera
Leonid Chekhov and Bertrand Eynard · 2006
Cited alongside, same era.
Free energy topological expansion for the 2-matrix model
Leonid Chekhov, Bertrand Eynard, and Nicolas Orantin · 2006
Cited alongside, same era.
Lectures on the Combinatorics of Free Probability
Alexandru Nica and Roland Speicher · 2006
Cited alongside, same era.
Reconstruction of manifolds in noncommutative geometry
Adam Rennie and Joseph C. Varilly · 2006
Cited alongside, same era.
John W. Barrett · 2015
Later among the works it cites.
Blobbed topological recursion
Gaëtan Borot · 2015
Later among the works it cites.
Noncommutative geometry and particle physics
Walter D. van Suijlekom · 2015
Later among the works it cites.
Monte Carlo simulations of random non-commutative geometries
John W. Barrett and Lisa Glaser · 2016
Later among the works it cites.
Partial chord diagrams and matrix models
Jørgen Ellegaard Andersen, Hiroyuki Fuji, Masahide Manabe, Robert C. Penner, and Piotr Sułkowski · 2017
Later among the works it cites.
Scaling behaviour in random non-commutative geometries
Lisa Glaser · 2017
Later among the works it cites.
Correlation functions of U ( N ) \mathrm{U}(N) -tensor models and their Schwinger-Dyson equations
Romain Pascalie, Carlos I. Pérez-Sánchez, and Raimar Wulkenhaar · 2017
Later among the works it cites.
Entropy and the spectral action
Ali H. Chamseddine, Alain Connes, and Walter D. van Suijlekom · 2018
Later among the works it cites.
Noncommutative Geometry and Particle Physics
Fedele Lizzi · 2018
Later among the works it cites.
Probing non-orthogonality of eigenvectors in non-Hermitian matrix models: diagrammatic approach
Maciej A. Nowak and Wojciech Tarnowski · 2018
Later among the works it cites.
The full Ward-Takahashi Identity for colored tensor models
Carlos I. Pérez-Sánchez · 2018
Later among the works it cites.
Lambert-W solves the noncommutative Φ 4 \Phi^{4} -model
Erik Panzer and Raimar Wulkenhaar · 2018
Later among the works it cites.
Higher spin gauge theory on fuzzy S N 4 S^{4}_{N}
Marcus Sperling and Harold Steinacker · 2018
Later among the works it cites.
The Standard Model in noncommutative geometry: fundamental fermions as internal forms
Ludwik Da̧browski, Francesco D’Andrea, and Andrzej Sitarz · 2019
Closest in time.
Video lectures on noncommutative distributions, Universität des Saarlandes, 2019
Roland Speicher · 2019
Closest in time.
Code for simulating random fuzzy spaces
Lisa Glaser · 2020
Closest in time.
On the spectral characterization of manifolds
Alain Connes · 2088
Closest in time.