Resources for the holomorphic curves course at MSRI
Background for holomorphic curve analysis:
List of good things to know, most of which can be found in
Appendix A,B from McDuff-Salamon J-holomorphic Curves and Symplectic Topology
and Lecture notes on Fredholm theory by Tom Mrowka
(from OpenCourseWare: Geometry of Manifolds)
Lecture notes:
lecture 1 (Introduction and Gromov nonsqueezing),
lecture 2 (basic properties of holomorphic curves),
lecture 3 (Fredholm theory),
lecture 4 (Transversality - was actually meant as #5 but got switched so the bubbling exercise could be discussed before lecture 5),
lecture 5 (Gromov compactness)
Exercises: set 1, set 2, set 3
Further references:
Uncertainty principle, non-sqeezing theorem and the symplectic rigidity by Yong-Geun Oh