Geometry from the spectral point of view

Alain Connes1
1Analyse et Geometric, College de France, Paris Cedex 5, France

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Tài liệu tham khảo

Connes, A.:Noncommutative Geometry, Academic Press, New York, 1994.

Connes, A.: Cyclic cohomology and the transverse fundamental class of a foliation, inGeometric Methods in Operator Algebras (Kyoto, 1983), Pitman Res. Notes in Math. 123 Longman, Harlow, 1986, pp. 52–144.

Connes, A.: Noncommutative geometry and physics, Les Houches, Preprint IHES M/93/32. 1993.

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.

Gromov, M.: Groups of polynomial growth and expanding maps,I.H.E.S. Publ. Math. 53 (1981), 53–73.

Seeley, R. T.: Complex powers of elliptic operators, Proc. Symp. Pure Math.10 (1967), 288–307.

Wodzicki, M.: Noncommutative residue, Part 1. Fundamentals, inK-Theory, Arithmetic and Geometry (Moscow, 1984–86), Lecture Notes in Math. 1289. Springer, Berlin, 1987, pp. 320–399.