Eta-invariant and Pontrjagin duality in K-theory

The topological significance of the spectral Atiyah-Patodi-Singer η-invariant is investigated. We show that twice the fractional part of the invariant is computed by the linking pairing in K-theory with the orientation bundle of the manifold. The Pontrjagin duality implies the nondegeneracy of the l...

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Bibliographic Details
Main Authors: Savin, Anton, Sternin, Boris
Format: Others
Language:English
Published: Universität Potsdam 2000
Subjects:
Online Access:http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25747
http://opus.kobv.de/ubp/volltexte/2008/2574/