Introduction to Floer theory

Weekly update on material covered

Date	Material covered	Exercises
19.02	pp.129--136	Exercises
26.02	pp.137--144 and pp.151--153	Exercises
05.03	pp.156--166	Exercises
12.03	pp.167--175	Exercises
19.03	pp.175--183 and pp.144--149	Exercises
26.03	pp.189--199 (see pp.202--219 for construction of ρ)	Exercises
02.04	pp.186--188 and pp.221--242	Exercises
09.04	pp.242--285	Exercises
16.04	pp.285--308	Exercises
23.04	EASTER BREAK
30.04	pp.309--334 (see pp.334--358 for proof of uniqueness of gluing)	Exercises
07.05	pp.359--381	Exercises
14.05	pp.383--451 (but essentially skipped 11.2 and 11.4)	Exercises
21.05	12.1 and 12.2 from "J-holomorphic curves and symplectic topology" by D. McDuff and D. Salamon (notes incoming, eventually)	~~Exercises~~
28.05	NO LECTURE

Literature

Main source

Morse Theory and Floer Homology by M. Audin and M. Damian (Universitext, Springer, 2014)

Additional references

Introduction to Symplectic Topology, 3rd edition by D. McDuff and D. Salamon (Oxford Graduate Texts in Mathematics, Oxford Academic, 2017)

J-holomorphic curves and symplectic topology, 2nd edition by D. McDuff and D. Salamon (Colloquium publications, American Mathematical Society, 2012)

Lectures on Floer homology by D. Salamon (Lecture notes, 1997)

Lectures on Symplectic Geometry by A. da Silva (Lecture Notes in Mathematics, Springer-Verlag, 2001)

Introduction to Floer theory—Spring 2025