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Motivated by the space of spinors on a Lorentzian manifold, we define Krein spectral triples, which generalise spectral triples from Hilbert spaces to Krein spaces.
J. Bognár, Indefinite inner product spaces , Ergebnisse Mathematik und GrenzGeb., Springer, Berlin, 1974
1974
Earlier work this paper cites.
G. G. Kasparov, The operator K-functor and extensions of C ∗ C^{\ast} -algebras , Izv. Akad. Nauk SSSR 44
1980
Earlier work this paper cites.
H. Baum, Spin-Strukturen und Dirac-Operatoren über pseudo-Riemannschen Mannigfaltigkeiten , Teubner-Texte zur Mathematik, vol. 41, Teubner-Verlag, Leipzig, 1981
1981
Earlier work this paper cites.
H. Lawson and M. Michelsohn, Spin Geometry , Princeton mathematical series, Princeton University Press, 1989
1989
Earlier work this paper cites.
A. Connes, Noncommutative Geometry , Academic Press, San Diego, CA, 1994
1994
Earlier work this paper cites.
M. Peskin and D. Schroeder, An Introduction to Quantum Field Theory , Westview Press, 1995
1995
Earlier work this paper cites.
P. van Nieuwenhuizen and A. Waldron, On Euclidean spinors and Wick rotations , Phys.Lett. B389
1996
Earlier work this paper cites.
A. H. Chamseddine and A. Connes, The spectral action principle , Commun. Math. Phys. 186
1997
Cited alongside, same era.
N. Higson and J. Roe, Analytic K-Homology , Oxford University Press, New York, 2000
2000
Cited alongside, same era.
B. Iochum, T. Schücker, and C. Stephan, On a classification of irreducible almost commutative geometries , J. Math. Phys. 45
2004
Cited alongside, same era.
W. D. van Suijlekom, The noncommutative Lorentzian cylinder as an isospectral deformation , J. Math. Phys. 45
2004
Cited alongside, same era.
M. Paschke and A. Sitarz, Equivariant Lorentzian Spectral Triples , ArXiv e-prints (2006), math–ph/0611029
2006
Cited alongside, same era.
A. Strohmaier, On noncommutative and pseudo-Riemannian geometry , J. Geom. Phys. 56
A. 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. Connes and M. Marcolli, Noncommutative Geometry, Quantum Fields and Motives , American Mathematical Society, 2007
2007
Later among the works it cites.
J.-H. Jureit, T. Krajewski, T. Schücker, and C. A. Stephan, On the noncommutative standard model , Acta Phys. Polon. B38
2007
Later among the works it cites.
K. van den Dungen and W. D. van Suijlekom, Particle physics from almost-commutative spacetimes , Rev. Math. Phys. 24
2012
Later among the works it cites.
A. H. Chamseddine, A. Connes, and W. D. van Suijlekom, Beyond the Spectral Standard Model: Emergence of Pati-Salam Unification , JHEP 11
2013
Later among the works it cites.
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2006
Cited alongside, same era.
J. W. Barrett, A Lorentzian version of the non-commutative geometry of the standard model of particle physics , J. Math. Phys. 48
2007
Cited alongside, same era.
J. Boeijink and K. van den Dungen, On globally non-trivial almost-commutative manifolds , J. Math. Phys. 55
2014
Later among the works it cites.
K. van den Dungen and A. Rennie, Indefinite Kasparov modules and pseudo-Riemannian manifolds , Annales Henri Poincaré (2016), (Published online)
2016
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