AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution
$J$-holomorphic Curves and Symplectic Topology
About this Title
Dusa McDuff, Barnard College, Columbia University, New York, NY and Dietmar Salamon, ETH, Zurich, Switzerland
Publication: Colloquium Publications
Publication Year:
2004; Volume 52
ISBNs: 978-0-8218-3485-5 (print); 978-0-8218-9096-7 (online)
DOI: https://doi.org/10.1090/coll/052
MathSciNet review: MR2045629
MSC: Primary 53D45; Secondary 32Q65, 53D40, 57R17
Table of Contents
Download chapters as PDF
Front/Back Matter
Chapters
- Chapter 1. Introduction
- Chapter 2. $J$-holomorphic curves
- Chapter 3. Moduli spaces and transversality
- Chapter 4. Compactness
- Chapter 5. Stable maps
- Chapter 6. Moduli spaces of stable maps
- Chapter 7. GromovâWitten invariants
- Chapter 8. Hamiltonian perturbations
- Chapter 9. Applications in symplectic topology
- Chapter 10. Gluing
- Chapter 11. Quantum cohomology
- Chapter 12. Floer cohomology
- Appendix A. Fredholm theory
- Appendix B. Elliptic regularity
- Appendix C. The RiemannâRoch theorem
- Appendix D. Stable curves of genus zero
- Appendix E. Singularities and intersections (written with Laurent Lazzarini)