Spectral flow: A functional analytic and index-Theoretic approach

Doll N, Schulz-Baldes H, Waterstraat N (2023)


Publication Type: Authored book

Publication year: 2023

Publisher: De Gruyter

Series: De Gruyter Studies in Mathematics

City/Town: Berlin, Boston

ISBN: 9783111172477

DOI: 10.1515/9783111172477

Abstract

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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How to cite

APA:

Doll, N., Schulz-Baldes, H., & Waterstraat, N. (2023). Spectral flow: A functional analytic and index-Theoretic approach. Berlin, Boston: De Gruyter.

MLA:

Doll, Nora, Hermann Schulz-Baldes, and Nils Waterstraat. Spectral flow: A functional analytic and index-Theoretic approach. Berlin, Boston: De Gruyter, 2023.

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