Spectral Flow: A Functional Analytic and Index-Theoretic Approach (De Gruyter Studies in Mathematics, 94) - Hardcover

Doll, Nora; Schulz-Baldes, Hermann; Waterstraat, Nils

 
9783111169897: Spectral Flow: A Functional Analytic and Index-Theoretic Approach (De Gruyter Studies in Mathematics, 94)

Inhaltsangabe

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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Über die Autorin bzw. den Autor

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

Von der hinteren Coverseite

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 semi finite sense. The importance of spectral flow for homotopy and index theory are 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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