Spectral flow : a functional analytic and index-theoretic approach / Nora Doll, Hermann Schulz-Baldes, and Nils Waterstraat.

Format:

Book

Author/Creator:

Nora Doll,, author.

Schulz-Baldes, Hermann, author.

Waterstraat, Nils, author.

Series:

De Gruyter studies in mathematics ; 94.

De Gruyter studies in mathematics, ; 94

Language:

English

Subjects (All):

Spectral theory (Mathematics).

Fredholm operators.

Physical Description:

1 online resource (xvii, 440 pages) : illustrations.

Place of Publication:

Berlin : De Gruyter, 2023.

Summary:

"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"-- Provided by publisher.

Contents:

Spectral flow in finite dimension

Applications of finite-dimensional spectral flow

Bounded Fredholm operators

Spectral flow for bounded self-adjoint Fredholm operators

Fredholm pairs and their index

Unbounded Fredholm operators

Spectral flow for unbounded self-adjoint Fredholm operators

Homotopy theory of Fredholm operators

Bott-Maslov index via spectral flow

Index pairings and spectral localizer

Spectral flow in semifinite von Neumann algebras

Spectral flow in bifurcation theory

Collection of technical elements.

Notes:

Description based on publisher supplied metadata and other sources.

Includes bibliographical references and index.

ISBN:

3-11-117247-3