de Rham cohomology (in characteristic zero)
GPTKB entity
Statements (26)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:cohomology_theory
|
| gptkbp:appliesTo |
smooth manifolds
algebraic varieties over fields of characteristic zero |
| gptkbp:computes |
topological invariants
|
| gptkbp:definedIn |
differential forms
|
| gptkbp:hasCupProduct |
true
|
| gptkbp:heldBy |
a contravariant functor
a tool for distinguishing manifolds a topological invariant |
| https://www.w3.org/2000/01/rdf-schema#label |
de Rham cohomology (in characteristic zero)
|
| gptkbp:isFunctorial |
true
|
| gptkbp:isomorphicTo |
singular cohomology with real coefficients (for smooth manifolds)
|
| gptkbp:isVectorSpaceOver |
field of characteristic zero
|
| gptkbp:namedAfter |
gptkb:Georges_de_Rham
|
| gptkbp:relatedTo |
gptkb:Betti_numbers
gptkb:Dolbeault_cohomology gptkb:Hodge_decomposition gptkb:algebraic_de_Rham_cohomology singular cohomology |
| gptkbp:satisfies |
gptkb:Mayer-Vietoris_sequence
gptkb:Poincaré_lemma |
| gptkbp:usedIn |
gptkb:algebraic_geometry
gptkb:Hodge_theory differential geometry |
| gptkbp:bfsParent |
gptkb:crystalline_cohomology
|
| gptkbp:bfsLayer |
6
|