Elliptic Operators and Higher Signatures

Eric Leichtnam; Paolo Piazza

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Elliptic Operators and Higher Signatures

Eric Leichtnam·Paolo Piazza

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Abstract

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.

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BibTeX RIS

Eric Leichtnam, Paolo Piazza. 2004-06-01. Elliptic Operators and Higher Signatures. https://arxiv.org/abs/math/0406020

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