Homotopy invariance of twisted higher signatures on manifolds with boundary

éric Leichtnam; Paolo Piazza

Displaying similar documents to “Homotopy invariance of twisted higher signatures on manifolds with boundary”

Elliptic operators and higher signatures

Eric Leichtnam, Paolo Piazza (2004)

Annales de l’institut Fourier

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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.

The $b$ -pseudodifferential calculus on Galois coverings and a higher Atiyah-Patodi-Singer index theorem

Éric Leichtnam, Paolo Piazza (1997)

Mémoires de la Société Mathématique de France

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C. Wall (1967)

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Kirk, Paul, Lesch, Matthias (2003)

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On Invariants of Hirzebruch and Cheeger-Gromov.

Chang, Stanley, Weinberger, Shmuel (2003)

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Werner Müller (1993-1994)

Séminaire Bourbaki

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Classification of free actions by some metacyclic groups on $S^{2 n - 1}$

C. B. Thomas (1980)

Annales scientifiques de l'École Normale Supérieure

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On a generalization of the Conley index

Marian Mrozek, James Reineck, Roman Srzednicki (1999)

Banach Center Publications

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In this note we present the main ideas of the theory of the Conley index over a base space introduced in the papers [7, 8]. The theory arised as an attempt to solve two questions concerning the classical Conley index. In the definition of the index, the exit set of an isolating neighborhood is collapsed to a point. Some information is lost on this collapse. In particular, topological information about how a set sits in the phase space is lost. The first question addressed is how to retain...