UID:
almafu_9961129185702883
Format:
1 online resource (xvii, 440 pages) :
,
illustrations.
ISBN:
3-11-117247-3
Series Statement:
De Gruyter studies in mathematics, ; 94
Content:
"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"--
Note:
Spectral flow in finite dimension -- Applications of finite-dimensional spectral flow -- Bounded Fredholm operators -- Spectral flow for bounded self-adjoint Fredholm operators -- Fredholm pairs and their index -- Unbounded Fredholm operators -- Spectral flow for unbounded self-adjoint Fredholm operators -- Homotopy theory of Fredholm operators -- Bott-Maslov index via spectral flow -- Index pairings and spectral localizer -- Spectral flow in semifinite von Neumann algebras -- Spectral flow in bifurcation theory -- Collection of technical elements.
Additional Edition:
ISBN 9783111169897
Language:
English
