Spectral Flow: A Functional Analytic and Index-Theoretic Approach - Nora Doll, Hermann Schulz-Baldes |
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pdf | 13.85 MB | English | Isbn: 9783111173085 | Author: Nora Doll, Hermann Schulz-Baldes, Nils Waterstraat | Year: 2023
About ebook : Spectral Flow: A Functional Analytic and Index-Theoretic Approach
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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