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Spectral Flow: A Functional Analytic and Index-Theoretic Approach
Hardcover
Series: de Gruyter Studies in Mathematics, Book 94
ISBN13: 9783111169897
Publisher: de Gruyter
Published: Jun 19 2023
Pages: 460
Weight: 2.04
Height: 1.00 Width: 6.69 Depth: 9.61
Language: English
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.
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