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Product formula for Atiyah-Patodi-Singer index classes and higher signatures

Published online by Cambridge University Press:  01 April 2010

Charlotte Wahl
Charlotte Wahl
Affiliation:
Leibniz-Arbeitsstelle Hannover, der Göttinger Akademie der Wissenschaften, Waterloostr. 8, 30169 Hannover, Germany, wahlcharlotte@googlemail.com
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Abstract

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.

Keywords

higher signaturesboundary value problemsKK-theoryindex theory
Type
Research Article
Information
Journal of K-Theory , Volume 6 , Issue 2 , October 2010 , pp. 285 - 337
Copyright
Copyright © ISOPP 2010

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