Spectral Flow: A Functional Analytic and Index-Theoretic Approach

By Nils Waterstraat, Nora Doll, Hermann Schulz-Baldes

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.

• Format: Hardcover
• Language: English
• ISBN: 3111169898
• ISBN13: 9783111169897
• Release Date: June 2023
• Publisher: de Gruyter
• Length: 460 Pages
• Weight: 2.04 lbs.
• Dimensions: 1.0" x 6.7" x 9.6"
• Grade Range: Postsecondary