Statements (31)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
complex vector bundles
|
| gptkbp:category |
gptkb:topology
|
| gptkbp:component |
gptkb:first_Chern_class
gptkb:second_Chern_class total Chern class |
| gptkbp:definedIn |
cohomology ring
|
| gptkbp:field |
gptkb:topology
differential geometry |
| gptkbp:firstDefined |
1946
|
| gptkbp:generalizes |
gptkb:Stiefel-Whitney_classes
Euler class |
| https://www.w3.org/2000/01/rdf-schema#label |
Chern classes
|
| gptkbp:namedAfter |
gptkb:Shiing-Shen_Chern
|
| gptkbp:relatedTo |
gptkb:Chern_character
gptkb:Pontryagin_classes gptkb:Todd_class |
| gptkbp:satisfies |
gptkb:Whitney_sum_formula
functoriality naturality |
| gptkbp:type |
characteristic class
|
| gptkbp:usedFor |
gptkb:Riemann-Roch_theorem
gptkb:Gauss-Bonnet_theorem intersection theory classification of vector bundles index theorems |
| gptkbp:usedIn |
gptkb:algebraic_geometry
gptkb:topology mathematical physics |
| gptkbp:bfsParent |
gptkb:Hirzebruch–Riemann–Roch_theorem
|
| gptkbp:bfsLayer |
5
|