Index theory of elliptic operators
GPTKB entity
Statements (35)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:logic
|
| gptkbp:application |
gptkb:K-theory
topological invariants calculation of analytical index |
| gptkbp:field |
gptkb:mathematics
gptkb:topology differential geometry global analysis |
| gptkbp:hasConcept |
gptkb:Fredholm_operator
elliptic operator index (mathematics) |
| gptkbp:historicalPeriod |
developed in the 1960s
|
| https://www.w3.org/2000/01/rdf-schema#label |
Index theory of elliptic operators
|
| gptkbp:influencedBy |
gptkb:topology
functional analysis differential topology |
| gptkbp:notable_for |
gptkb:Atiyah–Singer_index_theorem
|
| gptkbp:notableAchievement |
index equals analytical index equals topological index (under Atiyah–Singer theorem)
index is a topological invariant index is stable under continuous deformations |
| gptkbp:notablePerson |
gptkb:Michael_Atiyah
gptkb:Isadore_Singer |
| gptkbp:relatedConcept |
gptkb:heat_equation
gptkb:Chern_character gptkb:Riemann–Roch_theorem spectral theory cohomology differential operator Dirac operator characteristic class de Rham operator elliptic complex signature operator |
| gptkbp:bfsParent |
gptkb:K-Theory
|
| gptkbp:bfsLayer |
6
|