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A class of real spectral triples that are similar in structure to a Riemannian manifold but have a finite-dimensional Hilbert space is defined and investigated, determining a general form for the Dirac operator.
J. A. Wolf, Essential self-adjointness for the Dirac operator and its square, Indiana Univ. Math. J., v22, (1972/73), 611–640
1972
Earlier work this paper cites.
P. Budinich, A. Trautman, The Spinorial Chessboard. Trieste Notes in Physics, Spinger (1988). DOI 10.1007/978-3-642-83407-3
1988
Earlier work this paper cites.
C. Jayewardena, Schwinger Model On S 2 S^{2} , Helv. Phys. Acta 61
1988
Earlier work this paper cites.
J. Madore, “The Fuzzy sphere,” Class. Quant. Grav. 9
1992
Earlier work this paper cites.
A. Connes, “Noncommutative geometry,” (Academic Press, 1994), ISBN-9780121858605
1994
Earlier work this paper cites.
H. Grosse and P. Presnajder, The Dirac operator on the fuzzy sphere. Lett. Math. Phys. 33
1995
Earlier work this paper cites.
A. Trautman, “The Dirac operator on hypersurfaces,” Acta Phys. Polon. B 26
1995
Earlier work this paper cites.
A. Connes, “Gravity coupled with matter and foundation of noncommutative geometry,” Commun. Math. Phys. 182
1996
Cited alongside, same era.
H. Grosse, C. Klimcik and P. Presnajder, “Topologically nontrivial field configurations in noncommutative geometry,” Commun. Math. Phys. 178
1996
Cited alongside, same era.
R. Camporesi, A. Higuchi. On the eigenfunctions of the Dirac operator on spheres and real hyperbolic spaces, J.Geom.Phys. 20 (1996) 1-18, arXiv:gr-qc/9505009
1996
Cited alongside, same era.
T. Krajewski, Classification of finite spectral triples. J. Geom. Phys. 28
1998
Cited alongside, same era.
H. Grosse and A. Strohmaier, “Towards a nonperturbative covariant regularization in 4-D quantum field theory,” Lett. Math. Phys. 48
1999
Cited alongside, same era.
A. Connes, “Noncommutative geometry and the standard model with neutrino mixing,” JHEP 0611
2006
Later among the works it cites.
J. W. Barrett, “A Lorentzian version of the non-commutative geometry of the standard model of particle physics,” J. Math. Phys. 48
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.
A. H. Chamseddine and A. Connes, “Why the Standard Model,” J. Geom. Phys. 58
2008
Later among the works it cites.
A. Trautman, Connections and the Dirac operator on spinor bundles, J. Geom. Phys., v58, (2008), 238–252
2008
Later among the works it cites.
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A. P. Balachandran, T. R. Govindarajan and B. Ydri, “The Fermion doubling problem and noncommutative geometry,” Mod. Phys. Lett. A 15
2000
Cited alongside, same era.
J. Kock, Frobenius algebras and 2D topological quantum field theories, London Mathematical Society Student Texts, v59, Cambridge University Press, Cambridge, 2004
2004
Cited alongside, same era.
C. A. Stephan, “Almost-commutative geometry, massive neutrinos and the orientability axiom in KO-dimension 6,” hep-th/0610097
Cited in the paper.
2015
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