homological invariant
C27157
concept
A homological invariant is a quantity or structure derived from homology theory that remains unchanged under specified transformations, used to distinguish and classify mathematical objects up to an appropriate notion of equivalence.
All labels observed (8)
| Label | Occurrences |
|---|---|
| cohomology class | 6 |
| algebraic K-theory | 2 |
| homological invariant canonical | 2 |
| categorified knot invariant | 1 |
| characteristic classes | 1 |
| multiplicative genus | 1 |
| smooth 4-manifold invariant | 1 |
| topological invariant relation | 1 |
Instances (14)
| Instance | Via concept surface |
|---|---|
| Castelnuovo–Mumford regularity | — |
| Chern classes | cohomology class |
| Milnor K-theory | algebraic K-theory |
| Todd class | cohomology class |
|
Dolbeault cohomology classes
surface form:
Dolbeault cohomology class
|
cohomology class |
| Hirzebruch genera | multiplicative genus |
| Pontryagin classes | characteristic classes |
| Euler class | cohomology class |
| HOMFLY-PT homology | categorified knot invariant |
| Betti numbers | — |
| Stiefel–Whitney classes | cohomology class |
| Seiberg–Witten invariants | smooth 4-manifold invariant |
| Euler–Poincaré characteristic formula | topological invariant relation |
| Quillen K-theory | algebraic K-theory |