Spectral Flow
A Functional Analytic and Index-Theoretic Approach
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Beschreibung
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.
Autor*in
Nora Doll
Themen in »Spectral Flow«
Indextheorie von Fredholm-Paaren Oszillationstheorie für Jacobi-Operatoren und Streutheorie Selbstadjungierte Fredholm-Operatoren Variationsbifurkationstheorie Self-adjoint Fredholm operators topologies thereon Index theory of Fredholm pairs Bott-Maslov and Conley-Zehnder indices Oscillation theory Jacobi operators scattering theory Variational bifurcation theory