Surgery and the relative index theorem for families of elliptic operators

We prove a theorem describing the behaviour of the relative index of families of Fredholm operators under surgery performed on spaces where the operators act. In connection with additional conditions (like symmetry conditions) this theorem results in index formulas for given operator families. By wa...

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Bibliographic Details
Main Authors: Nazaikinskii, Vladimir, Schulze, Bert-Wolfgang, Sternin, Boris
Format: Others
Language:English
Published: Universität Potsdam 2002
Subjects:
Online Access:http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26300
http://opus.kobv.de/ubp/volltexte/2008/2630/