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This paper is the the third part of a series of paper whose aim is to use of the framework of \emph{twisted spectral triples} to study conformal geometry from a noncommutive geometric viewpoint.
Atiyah, M.F.; Singer, I.M.: The index of elliptic operators III . Ann. of Math. 87
1968
Earlier work this paper cites.
Hitchin, N.: Harmonic spinors . Adv. Math. 14
1974
Earlier work this paper cites.
Atiyah, M.F.; Patodi, V.K.; Singer, I.M.: Spectral asymmetry and Riemannian geometry III . Math. Proc. Camb. Phil. Soc. 79
1976
Earlier work this paper cites.
Pimsner, M.; Voiculescu, D.. Imbedding the irrational rotation C ∗ C^{*} -algebra into an AF-algebra . J. Operator Theory 4
1980
Earlier work this paper cites.
Baum, P.; Connes, A.: Geometric K-theory for Lie groups and foliations , Preprint (1982)
1982
Earlier work this paper cites.
Witten, E.: Supersymmetry and Morse theory. J. Differential Geom. 17
1982
Earlier work this paper cites.
Kasparov, G.G.: Lorentz groups: K K -theory of unitary representations and crossed products. Dokl. Akad. Nauk. S.S.S.R. 275
1984
Earlier work this paper cites.
Vafa, V.; Witten, E.: Eigenvalue inequalities for fermions in gauge theories. Comm. Math. Phys. 95
1984
Earlier work this paper cites.
Atiyah, M.F.: Eigenvalues of the Dirac operator . Lecture Notes in Math. no. 1111, Springer, Berlin, 1985, pp. 251–260
1985
Earlier work this paper cites.
Podles, P.: Quantum spheres . Lett. Math. Phys. 14
1987
Earlier work this paper cites.
Kasparov, G.G.: Equivariant K K KK -theory and the Novikov conjecture . Invent. Math. 91
1988
Earlier work this paper cites.
Hilsum, M.: Fonctorialité en K K -théorie bivariante pour les variétés Lipschitziennes . K K -Theory 3
1989
Earlier work this paper cites.
Bost, J.B.: Principe d’Oka, K K -théorie et systèmes dynamiques non commutatifs . Inv. Math. 101
1990
Earlier work this paper cites.
Baum, H.: An Upper Bound for the First Eigenvalue of the Dirac Operator on Compact Spin Manifolds . Math. Z. 206
1991
Cited alongside, same era.
Connes, A.: Noncommutative geometry . Academic Press, San Diego, 1994
1994
Cited alongside, same era.
Connes, A.: Noncommutative geometry and reality . J. Math. Phys. 36
1995
Cited alongside, same era.
Julg, P.; Kasparov, G.G.: Operator K K -theory for the group SU ( n , 1 ) {\rm SU}(n,1) . J. Reine Angew. Math. 463
1995
Cited alongside, same era.
Connes, A.: Gravity coupled with matter and the foundation of non-commutative geometry . Comm. Math. Phys. 182
1996
Cited alongside, same era.
Moscovici, H.: Eigenvalue inequalities and Poincaré duality in noncommutative geometry . Comm. Math. Phys. 184
Davaux, H.; Min-Oo, M.: Vafa-Witten bound on the complex projective space . Ann. Global Anal. Geom. 30
2006
Later among the works it cites.
Higson, N.: The residue index theorem of Connes and Moscovici . Surveys in Noncommutative Geometry , pp. 71–126, Clay Mathematics Proceedings 6, AMS, Providence, 2006
2006
Later among the works it cites.
Chamseddine, A.H.; Connes, A.; Marcolli, M.: Gravity and the standard model with neutrino mixing . Adv. Theor. Math. Phys. 11
2007
Later among the works it cites.
Goette, S.: Vafa-Witten estimates for compact symmetric spaces . Comm. Math. Phys. 271
2007
Later among the works it cites.
Brodzki, J.;Mathai, V.; Rosenberg, J.; Szabo, R. J.: D-branes, RR-fields and duality on noncommutative manifolds . Comm. Math. Phys. 277
2008
Later among the works it cites.
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1997
Cited alongside, same era.
Blackadar, B.: K K -theory for operator algebras, Mathematical Sciences Research Institute Publications Vol 5, 2nd edition, Cambridge University Press, 1998
1998
Cited alongside, same era.
Anghel, N.: On the first Vafa-Witten bound for two-dimensional tori . Global Analysis and Harmonic Analysis (Marseille-Luminy, 1999). Sémin. Congr. (4), Soc. Math.: France, Paris, 2000, pp. 1–16
2000
Cited alongside, same era.
Baum, P.; Connes, A.: Geometric K K -theory for Lie groups and foliations , Enseign. Math. (2), 46
2000
Cited alongside, same era.
Lafforgue, V.: K K -théorie bivariante pour les algèbres de Banach et conjecture de Baum-Connes . Invent. Math. 149
2002
Cited alongside, same era.
Da̧browski, L.; Sitarz, A.: Dirac operator on the standard Podleś quantum sphere . Banach Center Publications 61
2003
Cited alongside, same era.
Gohberg, I.; Goldberg, S.; Kaashoek, M.A.: Basic Classes of Linear Operators . Birkhäuser, 2003
2003
Cited alongside, same era.
Connes, A.; Moscovici, H.: Type III and spectral triples. Traces in Geometry, Number Theory and Quantum Fields, Aspects of Mathematics E38
2008
Later among the works it cites.
Wagner, E.: On the noncommutative spin geometry of the standard Podleś sphere and index computations . J. Geom. Phys. 59
2009
Later among the works it cites.
Moscovici, H.: Local index formula and twisted spectral triples . Quanta of maths , pp. 465–500, Clay Math. Proc., 11, Amer. Math. Soc. Providence, RI, 2010
2010
Later among the works it cites.
Connes, A.; Tretkoff, P.: The Gauss-Bonnet theorem for the noncommutative two torus . Noncommutative geometry, arithmetic, and related topics , pp. 141–158, Johns Hopkins Univ. Press, Baltimore, MD, 2011
2011
Later among the works it cites.
Kraehmer, U.; Wagner, E.: Twisted spectral triples and covariant differential calculi . Banach Center Publications 93
2011
Later among the works it cites.
Kaad, J.; Senior, R.: A twisted spectral triple for quantum S U ( 2 ) SU(2) . J. Geom. Phys. 62
2012
Later among the works it cites.
D’Andrea, F.; Landi, G.: Geometry of quantum projective spaces . Keio Coe Lecture Series on Mathematical Science, Vol. 1, World Scientific, 2013
2013
Closest in time.
Connes, A.; Moscovici, H.: Modular curvature for noncommutative two-tori . J. Amer. Math. Soc. 27
2014
Closest in time.