Statements (61)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:theorem
|
| gptkbp:applies_to |
elliptic operators
|
| gptkbp:establishes |
relationship between analysis and topology
|
| gptkbp:field |
gptkb:Mathematics
|
| gptkbp:has_applications_in |
gptkb:quantum_field_theory
gptkb:string_theory mathematical physics |
| gptkbp:has_influence_on |
gptkb:Physics
mathematical research |
| https://www.w3.org/2000/01/rdf-schema#label |
Atiyah-Singer Index Theorem
|
| gptkbp:is_associated_with |
gptkb:Atiyah-Singer_index_formula
gptkb:Lie_groups gptkb:Quantum_Mechanics gptkb:Hylobates_lar gptkb:general_relativity Riemannian geometry representation theory algebraic topology homology theory topological invariants functional analysis complex geometry mathematical structures differential forms operator theory differential topology spectral theory noncommutative geometry global analysis mathematical physics theories string theory concepts Fredholm operators |
| gptkbp:is_cited_in |
research articles
books on mathematics theses many mathematical papers |
| gptkbp:is_considered_as |
a fundamental result
|
| gptkbp:is_debated_in |
topological methods
analytic methods |
| gptkbp:is_described_as |
gptkb:textbooks
online courses lecture notes |
| gptkbp:is_discussed_in |
gptkb:academic_journals
conferences mathematical literature |
| gptkbp:is_part_of |
mathematical logic
modern geometry modern analysis |
| gptkbp:is_related_to |
K-theory
characteristic classes |
| gptkbp:is_used_in |
geometry
mathematical analysis index theory |
| gptkbp:named_after |
gptkb:Michael_Atiyah
gptkb:Isadore_Singer |
| gptkbp:proposed_by |
gptkb:1963
|
| gptkbp:provides |
formula for the index of an operator
|
| gptkbp:related_to |
gptkb:topology
differential geometry |
| gptkbp:bfsParent |
gptkb:Michael_Atiyah
|
| gptkbp:bfsLayer |
4
|