Statements (29)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:cohomology_theory
|
| gptkbp:appliesTo |
finite-dimensional manifolds
|
| gptkbp:basedOn |
gptkb:Morse_theory
|
| gptkbp:category |
gptkb:logic
|
| gptkbp:computes |
homology of manifolds
|
| gptkbp:describes |
topological invariants
|
| gptkbp:field |
gptkb:mathematics
gptkb:topology differential topology |
| gptkbp:generalizes |
gptkb:Floer_homology
|
| gptkbp:hasApplication |
symplectic geometry
Hamiltonian dynamics |
| https://www.w3.org/2000/01/rdf-schema#label |
Morse homology
|
| gptkbp:introduced |
gptkb:Andreas_Floer
|
| gptkbp:relatedTo |
gptkb:Witten_deformation
gptkb:Floer_homology gptkb:Morse_inequalities gptkb:de_Rham_cohomology smooth manifolds singular homology |
| gptkbp:studies |
critical points of smooth functions
|
| gptkbp:uses |
gptkb:Morse–Smale_condition
Morse functions chain complexes boundary operators gradient flow lines |
| gptkbp:bfsParent |
gptkb:Marston_Morse_theory
gptkb:Morse_theory |
| gptkbp:bfsLayer |
6
|