The cohomology of a chain complex C^*: H^n = ker d^n / im d^{n−1}. Dual to homology; carries a cup-product ring structure and often better computational properties.
Cohomology H^n(X)
Related concepts
- Homology H_n(X)
- de Rham cohomology
- Homology H_n(X)
- Homology H_n(X)
- Floer homology
- Seiberg-Witten invariants
- Dolbeault cohomology
- Singular homology + cohomology
- Characteristic classes (Stiefel-Whitney / Chern / Pontryagin)
- Geometric representation theory (flag variety)
- Ghost fields (BRST formalism)
- CFT & AdS/CFT duality
- Hallmarks of cancer