Spectral Flow
A Functional Analytic and Index-Theoretic Approach
AvNora Doll,Hermann Schulz-Baldes
Inbunden, Engelska, 2023
Del 94 i serien De Gruyter Studies in Mathematics
1 850 kr
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Beskrivning
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.