Statements (55)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:theorem
|
| gptkbp:appliesTo |
differential operators
|
| gptkbp:designedBy |
gptkb:Michael_Atiyah
gptkb:Isadore_Singer |
| gptkbp:established |
relationship between analysis and topology
|
| gptkbp:hasRelatedPatent |
string theory
mathematical physics quantum_field_theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Atiyah-Singer Index Theorem
|
| gptkbp:isConnectedTo |
Lie groups
differential geometry Riemannian geometry computational mathematics mathematical modeling representation theory algebraic topology category theory cohomology topological groups graph theory homological algebra mathematical analysis mathematical logic probability theory sheaf theory combinatorial mathematics statistical mechanics functional analysis numerical analysis functional equations measure theory real analysis complex analysis dynamical systems general relativity complex geometry discrete mathematics partial differential equations spectral theory fiber bundles elliptic operators heat equation quantum_mechanics |
| gptkbp:isImportantFor |
modern mathematics
|
| gptkbp:isNamedAfter |
gptkb:Michael_Atiyah
gptkb:Isadore_Singer |
| gptkbp:isRelatedTo |
K-theory
characteristic classes |
| gptkbp:isUsedIn |
noncommutative geometry
index theory |
| gptkbp:provides |
index formula
|
| gptkbp:relatedTo |
geometry
topology |
| gptkbp:standardFeatures |
Riemann-Roch_theorem
|
| gptkbp:wasEstablishedIn |
1963
|