Spectral Flow

A Functional Analytic and Index-Theoretic Approach, De Gruyter Studies in Mathematics 94

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Bibliografische Daten
ISBN/EAN: 9783111169897
Sprache: Englisch
Umfang: XVIII, 442 S., 4 s/w Illustr., 4 b/w ill.
Auflage: 1. Auflage 2023
Einband: gebundenes Buch

Beschreibung

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.

Autorenportrait

Nora Doll, Hermann Schulz-Baldes, FAU Erlangen-Nürnberg; Nils Waterstraat, MLU Halle-Wittenberg, Germany.