Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
Elliptic differential operators
|
| gptkbp:concerns |
gptkb:Fredholm_operators
Analytic index Topological index |
| gptkbp:developedBy |
gptkb:Michael_Atiyah
gptkb:Isadore_Singer |
| gptkbp:field |
gptkb:Mathematics
|
| gptkbp:formedBy |
1960s
|
| gptkbp:generalizes |
gptkb:Gauss–Bonnet_theorem
gptkb:Hirzebruch_signature_theorem gptkb:Riemann–Roch_theorem |
| https://www.w3.org/2000/01/rdf-schema#label |
Index theory
|
| gptkbp:notable_for |
gptkb:Riemann–Roch_theorem
gptkb:Atiyah–Singer_index_theorem gptkb:Hirzebruch–Riemann–Roch_theorem gptkb:Lefschetz_fixed-point_theorem |
| gptkbp:notableAchievement |
gptkb:Atiyah–Singer_index_theorem
|
| gptkbp:relatedTo |
gptkb:K-theory
gptkb:Topology Functional analysis |
| gptkbp:studies |
Relationship between analytical and topological invariants
|
| gptkbp:usedIn |
gptkb:Physics
gptkb:geometry Global analysis |
| gptkbp:bfsParent |
gptkb:K-theory
|
| gptkbp:bfsLayer |
5
|