Umfang:
1 online resource (460 pages)
Ausgabe:
1st ed.
ISBN:
9783111172477
Serie:
De Gruyter Studies in Mathematics Series v.94
Inhalt:
The series de Gruyter Studies in Mathematics was founded ca. 35 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel. The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods, and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist.
Inhalt:
Intro -- 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.
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:
Description based on publisher supplied metadata and other sources
Sprache:
Englisch
