Donaldson's theorem

GPTKB entity

Statements (14)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:field gptkb:4-manifold_theory
differential topology
https://www.w3.org/2000/01/rdf-schema#label Donaldson's theorem
gptkbp:influenced study of smooth structures on 4-manifolds
gptkbp:namedAfter gptkb:Simon_Donaldson
gptkbp:publishedIn gptkb:Journal_of_Differential_Geometry
gptkbp:result There exist topological 4-manifolds that do not admit smooth structures
Certain smooth 4-manifolds have intersection forms that are not diagonalizable over the integers
gptkbp:uses gptkb:gauge_theory
Yang–Mills equations
gptkbp:yearProved 1983
gptkbp:bfsParent gptkb:Simon_Donaldson
gptkbp:bfsLayer 4