Spectral Flow: A Functional Analytic and Index-Theoretic Approach
Jun 2023 · De Gruyter Studies in Mathematics Book 94 · Walter de Gruyter GmbH & Co KG
Ebook
460
Pages
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About this ebook
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.
About the author
Nora Doll, Hermann Schulz-Baldes, FAU Erlangen-Nürnberg; Nils Waterstraat, MLU Halle-Wittenberg, Germany.
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