Floer Theory

We will study Floer Homology, in particular Lagrangian Floer Homology, covering

* action functional

* Conley-Zehnder index

* moduli spaces of Floer trajectories

* compactness and gluing

* Floer complex

* Fukaya category of Lagrangians

Literature

P. Seidel: Fukaya Categories and Picard-Lefschetz theory, 

K. Fukaya, Y-G.Oh, H. Ohta, K.Ono: Lagrangian Intersection Floer theory: Anomaly and obstruction, Part I

M.Audin, M. Damian: Morse theory and Floer homology