Fetching the paper…
Reading the bibliography…
We develop the spectral point of view on geometry based on the formalism of quantum physics.
J. von Neumann, Zur Algebra der Funktionaloperatoren und Theorie der normalen Operatoren
1929
Earlier work this paper cites.
J. von Neumann, On rings of operators: reduction theory
1949
Earlier work this paper cites.
J. Milnor, Eigenvalues of the Laplace operator on certain manifolds
1964
Earlier work this paper cites.
M.F. Atiyah. K K -Theory
1967
Earlier work this paper cites.
M.F. Atiyah. Global theory of elliptic operators
1969
Earlier work this paper cites.
M. Takesaki, Tomita’s theory of modular Hilbert algebras and its applications
1970
Earlier work this paper cites.
G.G. Kasparov, The operator K K -functor and extensions of C ∗ C^{*} -algebras
1980
Earlier work this paper cites.
P. Bérard, G. Besson, S. Gallot Embedding Riemannian manifolds by their heat kernel
1994
Earlier work this paper cites.
A. Connes, Noncommutative geometry
1994
Earlier work this paper cites.
J. Fröhlich, K. Gawedski, Conformal field theory and geometry of strings , in “Mathematical quantum theory. I. Field theory and many-body theory” pp. 57–97, CRM Proc. Lecture Notes, 7, AMS, 1994
1994
Earlier work this paper cites.
A. Connes, Geometry from the spectral point of view
1995
Cited alongside, same era.
A. Chamseddine, A. Connes, Universal Formula for Noncommutative Geometry Actions: Unification of Gravity and the Standard Model , Phys. Rev. Lett. 77, 486804871 (1996)
1996
Cited alongside, same era.
A. Chamseddine, An Effective Superstring Spectral Action , Phys.Rev. D56 (1997) 3555-3567
1997
Cited alongside, same era.
A. Chamseddine, A. Connes, The Spectral Action Principle , Comm. Math. Phys. 186, 731-750 (1997)
1997
Cited alongside, same era.
H. Figueroa, J.M. Gracia-Bondía, J. Varilly, Elements of Noncommutative Geometry , Birkhäuser, 2000
2000
Cited alongside, same era.
A. Connes and G. Landi, Noncommutative manifolds, the instanton algebra and isospectral deformations
A. Connes, Noncommutative Geometry and the standard model with neutrino mixing
2006
Later among the works it cites.
John Barrett, ”The Lorentzian Version of the Noncommutative Geometry Model of Particle Physics”, J. Math. Phys
2007
Later among the works it cites.
A. H. Chamseddine, A. Connes and M. Marcolli, Gravity and the standard model with neutrino mixing Adv. Theor. Math. Phys. 11
2007
Later among the works it cites.
2007
Later among the works it cites.
2007
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2001
Cited alongside, same era.
L. Da̧browski, A. Sitarz, Dirac operator on the standard Podleś quantum sphere , Noncommutative Geometry and Quantum Groups, Banach Centre Publications 61, Hajac, P. M. and Pusz, W. (eds.), Warszawa: IMPAN, 2003, pp. 49–58
2003
Cited alongside, same era.
Victor Gayral, Bruno Iochum, The spectral action for Moyal planes J.Math.Phys. 46 (2005)
2005
Cited alongside, same era.
A. H. Chamseddine and A. Connes, Scale invariance in the spectral action J. Math. Phys. 47
2006
Cited alongside, same era.
A. Connes and A. H. Chamseddine, Inner fluctuations of the spectral action J. Geom. Phys. 57
2006
Cited alongside, same era.
T. van den Broek, W van Suijlekom Supersymmetric QCD and noncommutative geometry , arXiv:1003.3788
Cited in the paper.
A. Chamseddine, Chiral Anomalies in the Spectral Action ”Quantum Groups and Fundamental Physical Interactions”, Editor: D. Kastler, Publisher: Nova Science Publishing Company
Cited in the paper.
A. H. Chamseddine and A. Connes, Why the Standard Model J. Geom. Phys. 58
2008
Later among the works it cites.
A. Connes, A unitary invariant in Riemannian geometry
2008
Later among the works it cites.
A. Connes, M. Marcolli, Noncommutative Geometry, Quantum Fields, and Motives
2008
Later among the works it cites.
D. Essouabri, B. Iochum, C. Levy, A. Sitarz Spectral action on noncommutative torus . Journal of Noncommutative Geometry, 2 (2008), 53–123
2008
Later among the works it cites.
A. Connes and A. H. Chamseddine, The uncanny precision of the spectral action . Comm. Math. Phys. 293 (2010), no. 3, 867–897
2010
Closest in time.