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Topology of Closed One-Forms
About this Title
Michael Farber, Tel Aviv University, Tel Aviv, Israel
Publication: Mathematical Surveys and Monographs
Publication Year:
2004; Volume 108
ISBNs: 978-0-8218-3531-9 (print); 978-1-4704-1335-4 (online)
DOI: https://doi.org/10.1090/surv/108
MathSciNet review: MR2034601
MSC: Primary 58E05; Secondary 57R20, 57R70, 58A10
Table of Contents
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Front/Back Matter
Chapters
- 1. The Novikov numbers
- 2. The Novikov inequalities
- 3. The universal complex
- 4. Construction of the universal complex
- 5. Bott-type inequalities
- 6. Inequalities with Von Neumann Betti numbers
- 7. Equivariant theory
- 8. Exactness of the Novikov inequalities
- 9. Morse theory of harmonic forms
- 10. Lusternik-Schnirelman theory, closed 1-forms, and dynamics
- Appendix A. Manifolds with corners
- Appendix B. Morse-Bott functions on manifolds with corners
- Appendix C. Morse-Bott inequalities
- Appendix D. Relative Morse theory