Contents

Chapters in this book

1. Frontmatter I
2. Contents V
3. Introduction VII
4. Algebraic K-theory, assembly maps, controlled algebra, and trace methods 1
5. Lorentzian manifolds with special holonomy – Constructions and global properties 51
6. Contributions to the spectral geometry of locally homogeneous spaces 69
7. On conformally covariant differential operators and spectral theory of the holographic Laplacian 90
8. Moduli and deformations 116
9. Vector bundles in algebraic geometry and mathematical physics 150
10. Dyson–Schwinger equations: Fix-point equations for quantum fields 186
11. Hidden structure in the form factors of N = 4 SYM 197
12. On regulating the AdS superstring 221
13. Constraints on CFT observables from the bootstrap program 245
14. Simplifying amplitudes in Maxwell-Einstein and Yang-Mills-Einstein supergravities 266
15. Yangian symmetry inmaximally supersymmetric Yang-Mills theory 288
16. Wave and Dirac equations on manifolds 324
17. Geometric analysis on singular spaces 349
18. Singularities and long-time behavior in nonlinear evolution equations and general relativity 417
19. Index 491