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Book Synopsis

This is the first treatment entirely dedicated to an analytic study of spectral flow for paths of selfadjoint Fredholm operators, possibly unbounded or understood in a semifinite sense. The importance of spectral flow for homotopy and index theory is discussed in detail. Applications concern eta-invariants, the Bott-Maslov and Conley-Zehnder indices, Sturm-Liouville oscillation theory, the spectral localizer and bifurcation theory.

Spectral Flow: A Functional Analytic and Index-Theoretic Approach

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    A Hardback by Nora Doll, Hermann Schulz-Baldes, Nils Waterstraat

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      View other formats and editions of Spectral Flow: A Functional Analytic and Index-Theoretic Approach by Nora Doll

      Publisher: De Gruyter
      Publication Date: Publication Date: 19/06/2023
      ISBN13: 9783111169897, 978-3111169897
      ISBN10:

      Description

      Book Synopsis

      This is the first treatment entirely dedicated to an analytic study of spectral flow for paths of selfadjoint Fredholm operators, possibly unbounded or understood in a semifinite sense. The importance of spectral flow for homotopy and index theory is discussed in detail. Applications concern eta-invariants, the Bott-Maslov and Conley-Zehnder indices, Sturm-Liouville oscillation theory, the spectral localizer and bifurcation theory.

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