Umfang:
1 Online-Ressource (XVIII, 442 p.)
Ausgabe:
Issued also in print
ISBN:
9783111172477
Serie:
De Gruyter Studies in Mathematics 94
Inhalt:
"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"--
Anmerkung:
Frontmatter
,
Preface
,
Acknowledgment
,
Contents
,
1 Spectral flow in finite dimension
,
2 Applications of finite-dimensional spectral flow
,
3 Bounded Fredholm operators
,
4 Spectral flow for bounded self-adjoint Fredholm operators
,
5 Fredholm pairs and their index
,
6 Unbounded Fredholm operators
,
7 Spectral flow for unbounded self-adjoint Fredholm operators
,
8 Homotopy theory of Fredholm operators
,
9 Bott–Maslov index via spectral flow
,
10 Index pairings and spectral localizer
,
11 Spectral flow in semifinite von Neumann algebras
,
12 Spectral flow in bifurcation theory
,
A Collection of technical elements
,
Acronyms and notations
,
Bibliography
,
Index
,
Issued also in print
,
In English
Weitere Ausg.:
ISBN 9783111173085
Weitere Ausg.:
ISBN 9783111169897
Weitere Ausg.:
Erscheint auch als print ISBN 9783111169897
Sprache:
Englisch
DOI:
10.1515/9783111172477
