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.
eBook - ePub
Spectral Flow
A Functional Analytic and Index-Theoretic Approach
- 460 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
eBook - ePub
Spectral Flow
A Functional Analytic and Index-Theoretic Approach
About this book
Information
Subtopic
Applied MathematicsIndex
MathematicsTable of contents
- Title Page
- Copyright
- Contents
- 1âSpectral flow in finite dimension
- 2âApplications of finite-dimensional spectral flow
- 3âBounded Fredholm operators
- 4âSpectral flow for bounded self-adjoint Fredholm operators
- 5âFredholm pairs and their index
- 6âUnbounded Fredholm operators
- 7âSpectral flow for unbounded self-adjoint Fredholm operators
- 8âHomotopy theory of Fredholm operators
- 9âBottâMaslov index via spectral flow
- 10âIndex pairings and spectral localizer
- 11âSpectral flow in semifinite von Neumann algebras
- 12âSpectral flow in bifurcation theory
- Subject Index
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Yes, you can access Spectral Flow by Nora Doll,Hermann Schulz-Baldes,Nils Waterstraat in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over 1.5 million books available in our catalogue for you to explore.