Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:category |
gptkb:topology
dynamical systems |
| gptkbp:concerns |
fixed points of Hamiltonian diffeomorphisms
|
| gptkbp:field |
symplectic geometry
|
| https://www.w3.org/2000/01/rdf-schema#label |
Arnold conjecture
|
| gptkbp:influenced |
development of symplectic topology
|
| gptkbp:namedAfter |
gptkb:Vladimir_Arnold
|
| gptkbp:proposedBy |
1965
|
| gptkbp:provenBy |
complex projective spaces
tori |
| gptkbp:relatedTo |
gptkb:Floer_homology
|
| gptkbp:state |
the number of fixed points of a Hamiltonian symplectomorphism is at least the sum of the Betti numbers of the manifold
|
| gptkbp:status |
open in general
|
| gptkbp:bfsParent |
gptkb:Eduard_Zehnder
gptkb:Vladimir_Arnold |
| gptkbp:bfsLayer |
6
|