Geometry from the spectral point of view

Alain Connes

doi:10.1007/bf01872777

journal article Jul 01, 1995

Geometry from the spectral point of view

Alain Connes

Letters in Mathematical Physics Vol. 34 No. 3 pp. 203-238 · Springer Science and Business Media LLC

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References

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

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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.

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

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Connes, A. and Lott, J.: Particle models and noncommutative geometry,Nuclear Phys. B 18 (1990), suppl. 29–47 (1991).

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Connes, A. and Moscovici, H.: Cyclic cohomology, the Novikov conjecture and hyperbolic groups,Topology 29 (1990), 345–388. 10.1016/0040-9383(90)90003-3

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Connes, A. and Moscovici, H.: The local index formula in noncommutative geometry. To appear inGAFA.

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Gilkey, P.:Invariance Theory, the Heat Equation and the Atiyah-Singer Index Theorem, Math. Lecture Ser. 11, Publish or Perish, Wilmington, Del., 1984.

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Gromov, M.: Groups of polynomial growth and expanding maps,I.H.E.S. Publ. Math. 53 (1981), 53–73. 10.1007/bf02698687

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Seeley, R. T.: Complex powers of elliptic operators, Proc. Symp. Pure Math.10 (1967), 288–307. 10.1090/pspum/010/0237943

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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. 10.1007/bfb0078372

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