Spectral Flow. A Functional Analytic and Index-Theoretic Approach

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


Publication Language: English

Publication Type: Authored book, Volume of book series

Publication year: 2023

Publisher: De Gruyter

Series: De Gruyter Studies in Mathematics

City/Town: Berlin / Boston

Book Volume: 94

ISBN: 9783111169897

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.

Authors with CRIS profile

Involved external institutions

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.

BibTeX: Download