Kontsevich formality theorem
GPTKB entity
Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:author |
gptkb:Maxim_Kontsevich
|
| gptkbp:field |
gptkb:deformation_quantization
differential geometry mathematical physics |
| https://www.w3.org/2000/01/rdf-schema#label |
Kontsevich formality theorem
|
| gptkbp:influenced |
gptkb:algebraic_geometry
homological algebra deformation quantization of Poisson manifolds |
| gptkbp:namedAfter |
gptkb:Maxim_Kontsevich
|
| gptkbp:publishedIn |
gptkb:Letters_in_Mathematical_Physics
|
| gptkbp:relatedTo |
gptkb:formality_conjecture
deformation theory Poisson geometry |
| gptkbp:result |
existence of a formality quasi-isomorphism for the differential graded Lie algebra of polyvector fields on smooth manifolds
existence of a universal deformation quantization for Poisson manifolds |
| gptkbp:yearProved |
1997
|
| gptkbp:bfsParent |
gptkb:deformation_quantization
|
| gptkbp:bfsLayer |
6
|