Spectral Flow A Functional Analytic and Index-Theoretic Approach

Spectral Flow A Functional Analytic and Index-Theoretic Approach

Show other versions (1)

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-i...

Full description

Saved in:
Bibliographic Details
Main Author: Doll, Nora (auth)
Other Authors: Schulz-Baldes, Hermann (auth), Waterstraat, Nils (auth)
Format: Electronic Book Chapter
Language:English
Published: Berlin/Boston De Gruyter 2023
Series:De Gruyter Studies in Mathematics 94
Subjects:
Differential calculus & equations
Numerical analysis
Applied mathematics
Self-adjoint Fredholm operators
topologies
thereon Index
theory of Fredholm pairs
Bott-Maslov and Conley-Zehnder indices
Oscillation theory Jacobi operators
scattering theory
Variational bifurcation theory
Online Access:OAPEN Library: download the publication
OAPEN Library: description of the publication
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
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 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.
Physical Description:1 electronic resource (442 p.)
ISBN:9783111172477
9783111169897
9783111173085
Access:Open Access

Similar Items