Umfang:
XVII, 440 Seiten
,
24 cm x 17 cm
ISBN:
9783111169897
,
3111169898
Serie:
De Gruyter Studies in Mathematics volume 94
Inhalt:
Publisher’s description: 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. *Presents a self-contained functional analytic treatment of spectral flow. *Includes a detailed analysis of the homotopy theory of the set of unbounded selfadjoint Fredholm operators. *Provides an analysis of Bott-Maslov index via spectral flow
Anmerkung:
Literaturverzeichnis: Seite 431-438
Weitere Ausg.:
ISBN 9783111172477
Weitere Ausg.:
ISBN 9783111173085
Sprache:
Englisch
Schlagwort(e):
Spektrum
;
Fredholm-Operator
;
Zeitabhängigkeit
;
Indextheorem
;
Maslov-Index
;
Homotopietheorie
;
Verzweigung
URL:
https://www.degruyter.com/isbn/9783111169897
URL:
https://d-nb.info/1283839326/04