Index defects in the theory of nonlocal boundary value problems and the η-invariant

Description

The paper deals with elliptic theory on manifolds with boundary represented as a covering space. We compute the index for a class of nonlocal boundary value problems. For a nontrivial covering, the index defect of the Atiyah-Patodi-Singer boundary value problem is computed. We obtain the Poincaré duality in the K-theory of the corresponding manifolds with singularities.

Links & Downloads

1. urn:nbn:de:kobv:517-opus-26146
2. http://opus.kobv.de/ubp/volltexte/2008/2614/

Tags

elliptic operator

boundary value problem

finiteness theorem

nonlocal problem

covering

relative η-invariant

index

modn-index

Mathematics

Additional Fields

Identifer	oai:union.ndltd.org:Potsdam/oai:kobv.de-opus-ubp:2614
Date	January 2001
Creators	Savin, Anton Yu., Sternin, Boris Yu.
Publisher	Universität Potsdam, Mathematisch-Naturwissenschaftliche Fakultät. Institut für Mathematik
Source Sets	Potsdam University
Language	English
Detected Language	English
Type	Preprint
Format	application/pdf
Rights	http://opus.kobv.de/ubp/doku/urheberrecht.php