Spectral Flow

A Functional Analytic and Index-Theoretic Approach

Nora Doll, Hermann Schulz-Baldes, Nils Waterstraat

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English

De Gruyter
19 June 2023

Differential calculus & equations; Numerical analysis; Applied mathematics

Series: De Gruyter Studies in Mathematics

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.

By: Nora Doll, Hermann Schulz-Baldes, Nils Waterstraat
Imprint: De Gruyter
Country of Publication: Germany
Dimensions: Height: 240mm, Width: 170mm,
Weight: 873g
ISBN: 9783111169897
ISBN 10: 3111169898
Series: De Gruyter Studies in Mathematics
Pages: 460
Publication Date: 19 June 2023
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

Nora Doll, Hermann Schulz-Baldes, FAU Erlangen-Nürnberg; Nils Waterstraat, MLU Halle-Wittenberg, Germany.