Spectral Flow
A Functional Analytic and Index-Theoretic Approach
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Language
EnglishAbstract
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.
Keywords
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; thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKJ Differential calculus and equations; thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKS Numerical analysis; thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematicsISBN
9783111172477, 9783111169897, 9783111173085Publisher
De GruyterPublisher website
http://www.degruyter.com/Publication date and place
Berlin/Boston, 2023Imprint
De GruyterSeries
De Gruyter Studies in Mathematics,Classification
Differential calculus and equations
Numerical analysis
Applied mathematics
Pages
442
Except where otherwise noted, this item's license is described
as
open access