Statements (33)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
Complex vector bundles
Line bundles |
| gptkbp:codomain |
gptkb:Cohomology_group
|
| gptkbp:defines |
Complex manifolds
Smooth manifolds |
| gptkbp:field |
gptkb:Topology
gptkb:Algebraic_geometry gptkb:Differential_geometry |
| gptkbp:heldBy |
gptkb:Cohomology_class
Characteristic class Topological invariant |
| https://www.w3.org/2000/01/rdf-schema#label |
First Chern class
|
| gptkbp:introduced |
gptkb:Shiing-Shen_Chern
|
| gptkbp:notation |
c₁
|
| gptkbp:part_of |
gptkb:Chern_classes
|
| gptkbp:relatedTo |
gptkb:Picard_group
gptkb:Stiefel–Whitney_class gptkb:Chern–Weil_theory Divisor Euler class Line bundle degree |
| gptkbp:takes_values_in |
H^2(X, ℤ)
Second cohomology group |
| gptkbp:used_in |
gptkb:Algebraic_topology
gptkb:gauge_theory gptkb:Intersection_theory Mathematical physics Classification of vector bundles Complex geometry Characteristic classes |
| gptkbp:bfsParent |
gptkb:Chern_class
|
| gptkbp:bfsLayer |
6
|