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Elliptic operators and higher signatures

Eric Leichtnam, Paolo Piazza (2004)

Annales de l’institut Fourier

Building on the theory of elliptic operators, we give a unified treatment of the following topics: - the problem of homotopy invariance of Novikov’s higher signatures on closed manifolds, - the problem of cut-and-paste invariance of Novikov’s higher signatures on closed manifolds, - the problem of defining higher signatures on manifolds with boundary and proving their homotopy invariance.

Exotic characteristic classes and subfoliations

Luis A. Cordero, P. M. Gadea (1976)

Annales de l'institut Fourier

A topological obstruction for a foliation F 1 be a sub-foliation of another F 2 is given by comparing the images of the associated characteristic homomorphisms (in the sense of Lehmann).

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