Atiyah–Guillemin–Sternberg convexity theorem
GPTKB entity
Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:concerns |
moment map
Hamiltonian torus action |
| gptkbp:field |
gptkb:mathematics
symplectic geometry |
| https://www.w3.org/2000/01/rdf-schema#label |
Atiyah–Guillemin–Sternberg convexity theorem
|
| gptkbp:namedAfter |
gptkb:Michael_Atiyah
gptkb:Shlomo_Sternberg gptkb:Victor_Guillemin |
| gptkbp:relatedTo |
gptkb:toric_variety
gptkb:Delzant_theorem symplectic manifold |
| gptkbp:state |
the image of the moment map for a compact Hamiltonian torus action on a compact connected symplectic manifold is a convex polytope
|
| gptkbp:yearProved |
1982
|
| gptkbp:bfsParent |
gptkb:moment_polytope
|
| gptkbp:bfsLayer |
6
|