Geometry from the spectral point of view
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Connes, A. and Lott, J.: Particle models and noncommutative geometry,Nuclear Phys. B 18 (1990), suppl. 29–47 (1991).
Connes, A. and Moscovici, H.: Cyclic cohomology, the Novikov conjecture and hyperbolic groups,Topology 29 (1990), 345–388.
Connes, A. and Moscovici, H.: The local index formula in noncommutative geometry. To appear inGAFA.
Gilkey, P.:Invariance Theory, the Heat Equation and the Atiyah-Singer Index Theorem, Math. Lecture Ser. 11, Publish or Perish, Wilmington, Del., 1984.