Spectral Flow A Functional Analytic and Index-Theoretic Approach

• Tác giả: Nora Doll, Hermann Schulz-Baldes, Nils Waterstraat
• Ngôn ngữ: eng
• ISBN-13: 978-3111169897
• ISBN-13: 978-3111172477
• ISBN-13: 978-3111173085
• Thông tin xuất bản: Berlin/Boston De Gruyter 2023
• Mô tả vật lý: 1 electronic resource (442 p.)
• Bộ sưu tập: Tài liệu truy cập mở
• ID: 376020
• Chủ đề: 1. Self-adjoint Fredholm operators; 2. topologies; 3. Applied mathematics; 4. Differential calculus & equations; 5. Numerical analysis

Tóm tắt

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.