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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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Spelling suggestions: "subject:"pontrjagin duality"" "subject:"pontrjagins duality""

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Eta-invariant and Pontrjagin duality in K-theory

Savin, Anton, Sternin, Boris January 2000 (has links)
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 linking form. An example of a nontrivial fractional part for an even-order operator is presented.
eta-invariant
K-theory
Pontrjagin duality
linking coefficients
Atiyah-Patodi-Singer theory
modulo n index
Mathematics

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