Literatur: (1) Dietmar Salamon:
Lectures on Floerhomology
(2) Michéle Audin, Mihai Damian: Morse theory and Floer homology,
Springer
Universitext
Topics
(In parantheses the relevant sections in Salamon's text are indicated)
- The Morse-Witten-Complex (1.3) 8.11. Matthias Görg Notes
- Symplectic Action, energy and Floer's equation (1.4.-1.6) 15.11. Patrick Bilski
- Fredholm property (2.1.-2.3.) 22.11./29.11. Michael Rothgang Notes_1
- Fredholm index (2.4.,2.5.) 29.11./13.12. Kangning Wei (evtl. Themen 3. und 4. vertauscht)
- Transversality (2.6.) from approx. 13.12. no speaker fixed from here
- Compactness (3.1.)
- Floer homology (3.2.)
- Gluing (3.3. and 2.7)
- Invariance: homotopies and homotopies of homotopies (3.4.)
- Proof of Anrnold's conjecture (3.5.)
Further topics can be planned if time slots and speakers are available
last changes: Do, 6.12.18, 14:00