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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

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

Savin, Anton Yu., Sternin, Boris Yu. January 2001 (has links)
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.
elliptic operator
boundary value problem
finiteness theorem
nonlocal problem
covering
relative η-invariant
index
modn-index
Mathematics

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