The Conley conjecture for irrational symplectic manifolds (Q442763)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: The Conley conjecture for irrational symplectic manifolds |
scientific article; zbMATH DE number 6063229
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Conley conjecture for irrational symplectic manifolds |
scientific article; zbMATH DE number 6063229 |
Statements
The Conley conjecture for irrational symplectic manifolds (English)
0 references
4 August 2012
0 references
A generalization of the Conley conjecture is proven: Every Hamiltonian diffeomorphism on a closed symplectic manifold has infinitely many periodic orbits, provided the first Chern class vanishes over the second fundamental group. The proof involves some new ingredients including the definition and properties of the filtered Floer homology.
0 references
Conley conjecture
0 references
Hamiltonian diffeomorphism
0 references
periodic orbits
0 references
filtered Floer homology
0 references
0.9216142
0 references
0 references
0.88975894
0 references
0.8894445
0 references
