8 Homotopy theory of Fredholm operators

Kapitel in diesem Buch

1. Frontmatter I
2. Preface V
3. Acknowledgment XIII
4. Contents XV
5. 1 Spectral flow in finite dimension 1
6. 2 Applications of finite-dimensional spectral flow 25
7. 3 Bounded Fredholm operators 64
8. 4 Spectral flow for bounded self-adjoint Fredholm operators 89
9. 5 Fredholm pairs and their index 126
10. 6 Unbounded Fredholm operators 173
11. 7 Spectral flow for unbounded self-adjoint Fredholm operators 218
12. 8 Homotopy theory of Fredholm operators 247
13. 9 Bott–Maslov index via spectral flow 277
14. 10 Index pairings and spectral localizer 313
15. 11 Spectral flow in semifinite von Neumann algebras 345
16. 12 Spectral flow in bifurcation theory 389
17. A Collection of technical elements 417
18. Acronyms and notations 427
19. Bibliography 431
20. Index 439