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math.DG2004
Cut-and-Paste on Foliated Bundles
Eric Leichtnam, Paolo Piazza
We discuss the behaviour of the signature index class of closed foliated bundles under the operation of cutting and pasting. Along the way we establish several index theoretic resu…
math.DG2004
Elliptic Operators and Higher Signatures
Eric Leichtnam, Paolo Piazza
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 man…