Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
compact manifolds
elliptic differential operators |
| gptkbp:awarded |
gptkb:mathematics
|
| gptkbp:field |
gptkb:topology
differential geometry global analysis |
| gptkbp:formedBy |
gptkb:Michael_Atiyah
gptkb:Isadore_Singer |
| gptkbp:generalizes |
gptkb:Hirzebruch_signature_theorem
gptkb:Riemann-Roch_theorem gptkb:Gauss-Bonnet_theorem |
| https://www.w3.org/2000/01/rdf-schema#label |
Atiyah-Singer index theorem
|
| gptkbp:influenced |
gptkb:algebraic_geometry
mathematical physics representation theory |
| gptkbp:relatedConcept |
gptkb:Chern_character
gptkb:Fredholm_operator gptkb:K-theory |
| gptkbp:state |
The analytical index of an elliptic differential operator on a compact manifold equals its topological index.
|
| gptkbp:yearProposed |
1963
|
| gptkbp:bfsParent |
gptkb:Riemannian_manifold
gptkb:Differential_geometry |
| gptkbp:bfsLayer |
5
|