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.
Reihe
Sprache
Verlagsort
Zielgruppe
Illustrationen
4
4 s/w Abbildungen
4 b/w ill.
ISBN-13
978-3-11-117308-5 (9783111173085)
Schweitzer Klassifikation
Nora Doll,
Hermann Schulz-Baldes
, FAU Erlangen-Nürnberg;
Nils Waterstraat
, MLU Halle-Wittenberg, Germany.
