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gptkbp:instanceOf
|
gptkb:cohomology_theory
|
|
gptkbp:appliesTo
|
smooth manifolds
|
|
gptkbp:basisFor
|
closed differential forms
|
|
gptkbp:category
|
homological algebra
|
|
gptkbp:computes
|
cohomology groups
|
|
gptkbp:describes
|
topological invariants of smooth manifolds
|
|
gptkbp:field
|
gptkb:mathematics
|
|
gptkbp:generalizes
|
gptkb:Dolbeault_cohomology
gptkb:algebraic_de_Rham_cohomology
|
|
gptkbp:hasSubfield
|
gptkb:topology
differential geometry
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
de Rham cohomology
|
|
gptkbp:introducedIn
|
1930s
|
|
gptkbp:isomorphismWith
|
singular cohomology with real coefficients
|
|
gptkbp:isQuotientOf
|
exact differential forms
|
|
gptkbp:namedAfter
|
gptkb:Georges_de_Rham
|
|
gptkbp:notableTool
|
studying global properties of manifolds
|
|
gptkbp:relatedTo
|
gptkb:de_Rham_theorem
gptkb:Poincaré_lemma
singular cohomology
|
|
gptkbp:usedIn
|
gptkb:algebraic_geometry
gptkb:gauge_theory
gptkb:Hodge_theory
gptkb:string_theory
gptkb:Morse_theory
mathematical physics
differential topology
symplectic geometry
complex geometry
foliation theory
|
|
gptkbp:uses
|
differential forms
|
|
gptkbp:bfsParent
|
gptkb:Hodge_theory
gptkb:Riemannian_manifold
gptkb:Deligne_cohomology
gptkb:Differential_geometry
|
|
gptkbp:bfsLayer
|
5
|