| Speaker: | Andrei Pajitnov (Université de Nantes) |
|---|---|
| Title: | Arnold conjecture, Floer homology, and augmentation ideals of finite groups. |
| Date (JST): | Thu, Jun 19, 2014, 15:30 - 17:00 |
| Place: | Seminar Room A |
| Abstract: |
Let H be a generic time-dependent Hamiltonian on a closed symplectic manifold M. We construct a refined version of the Floer chain complex associated to (M,H), and use it to obtain new lower bounds for the number P(H) of the periodic orbits of the corresponding hamiltonian vector field. We prove in particular that if the fundamental group of M is finite and solvable or simple, then P(H) is not less than the minimal number of generators of the fundamental group. This is joint work with Kaoru Ono. |
