Statements (28)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
mathematical equations
|
| gptkbp:appliesTo |
smooth 4-manifolds
|
| gptkbp:category |
elliptic equations
gauge-theoretic equations |
| gptkbp:defines |
gptkb:Seiberg-Witten_invariants
|
| gptkbp:field |
gptkb:gauge_theory
differential geometry mathematical physics |
| https://www.w3.org/2000/01/rdf-schema#label |
Seiberg-Witten equations
|
| gptkbp:introduced |
gptkb:Edward_Witten
gptkb:Nathan_Seiberg |
| gptkbp:introducedIn |
1994
|
| gptkbp:involves |
Dirac operator
spinor field U(1) gauge field self-dual 2-forms |
| gptkbp:relatedTo |
gptkb:Donaldson_theory
gptkb:Yang-Mills_equations monopole equations |
| gptkbp:significance |
led to new results in smooth topology
revolutionized 4-manifold topology simplified computation of invariants |
| gptkbp:type |
partial differential equations
|
| gptkbp:usedIn |
gptkb:topology
gptkb:4-manifold_theory mathematical physics |
| gptkbp:bfsParent |
gptkb:Seiberg-Witten_theory
|
| gptkbp:bfsLayer |
6
|