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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:"mode k index"" "subject:"modo k index""

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Elliptic operators in subspaces and the eta invariant

Schulze, Bert-Wolfgang, Savin, Anton, Sternin, Boris January 1999 (has links)
The paper deals with the calculation of the fractional part of the η-invariant for elliptic self-adjoint operators in topological terms. The method used to obtain the corresponding formula is based on the index theorem for elliptic operators in subspaces obtained in [1], [2]. It also utilizes K-theory with coefficients Zsub(n). In particular, it is shown that the group K(T*M,Zsub(n)) is realized by elliptic operators (symbols) acting in appropriate subspaces.
index of elliptic operators in subspaces
K-theory
eta-invariant
mod k index
Atiyah-Patodi-Singer theory
Mathematics

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