Chapter 7. The Transition to Genus Two

Chapters in this book

1. Frontmatter i
2. Contents v
3. Figures and Tables ix
4. Preface xi
5. Chapter 1. Introduction and Overview 1
6. Chapter 2. Holomorphic Riemann-Hilbert Problems for Solitons 13
7. Chapter 3. Semiclassical Soliton Ensembles 23
8. Chapter 4. Asymptotic Analysis of the Inverse Problem 37
9. Chapter 5. Direct Construction of the Complex Phase 121
10. Chapter 6. The Genus - Zero Ansatz 163
11. Chapter 7. The Transition to Genus Two 195
12. Chapter 8. Variational Theory of the Complex Phase 215
13. Chapter 9. Conclusion and Outlook 223
14. Appendix A. H¨older Theory of Local Riemann-Hilbert Problems 229
15. Appendix B. Near-Identity Riemann-Hilbert Problems in L² 253
16. Bibliography 255
17. Index 259