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higher signatures

Journal of K-Theory (1)

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Product formula for Atiyah-Patodi-Singer index classes and higher signatures
Charlotte Wahl
Journal:

Journal of K-Theory / Volume 6 / Issue 2 / October 2010

Published online by Cambridge University Press:

01 April 2010, pp. 285-337

Print publication:

October 2010
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We define generalized Atiyah-Patodi-Singer boundary conditions of product type for Dirac operators associated to C*-vector bundles on the product of a compact manifold with boundary and a closed manifold. We prove a product formula for the K-theoretic index classes, which we use to generalize the product formula for the topological signature to higher signatures.