Symplectic Geometry: Learn, Understand & Expert Articles/Books

[Steven Wang]

I am interesting in symplectic geometry now. But I have only little knowledge about it. Can someone show me some materials or courses to learn or understand this subject. I want to know the classic articles and books about symplectic geometry and who are the experts in this field. Thank you .

 

[quasar987]

In order of complexity:
V. I. Arnold - Mathematical methods of classical mechanics
Da Silva - Lectures on Symplectic Geometry
McDuff, Salamon - Introduction to symplectic geometry

Key articles:
-Gromov, 1985, "Pseudoholomorphic curves in symplectic manifolds" is probably the most influential article. (Birth of pseudoholomorphic methods)
-Floer's 1988 "Morse theory for Lagrangian intersections" (Birth of Floer homology)

Our leaders: Y. Eliashberg, Y. Chekanov, H. Hofer, D. McDuff, D. Salamon, A. Giventhal, L. Polterovich, FO_3 (Fukaya, Oh, Ohta, Ono).

 

[zhentil]

I think you mean "Topology" in the third title, but otherwise, well said!