Statements (31)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
characteristic class
|
| gptkbp:appliesTo |
gptkb:Riemannian_manifold
real vector bundle |
| gptkbp:category |
gptkb:mathematics
gptkb:topology |
| gptkbp:coefficientRing |
gptkb:integral
|
| gptkbp:cohomologyTheory |
singular cohomology
|
| gptkbp:definedIn |
oriented real vector bundles
|
| gptkbp:field |
gptkb:topology
differential topology |
| gptkbp:firstPontryaginClass |
p1
|
| gptkbp:fourthPontryaginClass |
p4
|
| https://www.w3.org/2000/01/rdf-schema#label |
Pontryagin classes
|
| gptkbp:introducedIn |
1940s
|
| gptkbp:namedAfter |
gptkb:Lev_Pontryagin
|
| gptkbp:property |
gptkb:topology
stable under bundle isomorphism vanish for trivial bundle |
| gptkbp:relatedTo |
gptkb:Chern_classes
gptkb:Stiefel–Whitney_classes gptkb:Thom_class gptkb:Wu_classes Euler class |
| gptkbp:secondPontryaginClass |
p2
|
| gptkbp:thirdPontryaginClass |
p3
|
| gptkbp:usedIn |
surgery theory
cobordism theory topological invariants classification of manifolds |
| gptkbp:bfsParent |
gptkb:Lev_Pontryagin
|
| gptkbp:bfsLayer |
5
|