Spectral Flow

A Functional Analytic and Index-Theoretic Approach

Autor*innen

• Nora Christine Doll

Parameter

• 460 Seiten
• 17 Lesestunden

• Mathematik
• Sachbücher
• Wissenschaft & Mathematik

Mehr zum Buch

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.

• Sprache: Englisch
• Erscheinungsdatum: 2023
• Einband: Hardcover