Lagrangian Floer homology

This is a course for the second semester of M2 (option géométrie). In the first half of the course we will study the basics of symplectic topology and Morse theory, while the second half will concentrate on the more advanced topic of Lagrangian Floer homology. This topics are a prerequisite for the advanced course Derived categories in symplectic geometry by Baptiste Chantraine and Hossein Abbaspour.

Practical information

Classes meet on Monday from 9:30 to 12:00 in Salle Hypatia.
Office hours are in office 109 of the Laboratoire de mathématiques on Wednesday from 14:00 to 15:30, or by appointment (


  1. Symplectic manifolds and Lagrangian submanifolds: definitions and examples
  2. Stability and local forms
  3. Liouville manifolds
  4. Morse homology
  5. Overview of Lagrangian Floer homology
  6. Analysis of J-holomorphic maps (as time permits).

Lecture notes

(A change in the first version number means a revision of the content. A change in the second version number means a correction of grammar and spelling mistakes.)

Further bibliography