Seminar Floer homology

  Do 9:15-10:45, RUD25 3.006

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)
  1. The Morse-Witten-Complex (1.3) 8.11.  Matthias Görg Notes
  2. Symplectic Action, energy and Floer's equation (1.4.-1.6)   15.11.   Patrick Bilski
  3. Fredholm property (2.1.-2.3.)  22.11./29.11.   Michael Rothgang Notes_1
  4. Fredholm index (2.4.,2.5.)  29.11./13.12.  Kangning Wei  (evtl. Themen 3. und 4. vertauscht)
  5. Transversality (2.6.)   from approx. 13.12.   no speaker fixed from here
  6. Compactness (3.1.)
  7. Floer homology (3.2.)
  8. Gluing (3.3. and 2.7)
  9. Invariance: homotopies and homotopies of homotopies (3.4.)
  10. 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