ENGLISH

Spectral Flow: A Functional Analytic and Index-Theoretic Approach

By Nora Doll; Hermann Schulz-Baldes; Nils Waterstraat

Book information

Publisher
de Gruyter
Year
2023
ISBN
9783111172477, 9783111169897
DOI
10.1515/9783111172477
Language
english
Format
EPUB
Filesize
72 MB (75942698 bytes)
Series
De Gruyter Studies in Mathematics; 94
Pages
460\0
Library
degruyter.com
Time added
2023-07-27 02:04:00

Description

Open AccessThis 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. Presents a self-contained functional analytic treatment of spectral flow Includes a detailed analysis of the homotopy theory of the set of unbounded selfadjoint Fredholm operators Provides an analysis of Bott-Maslov index via spectral flow

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