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.
Observed surface forms (7)
- cohomology class ×6
- algebraic K-theory ×2
- categorified knot invariant ×1
- characteristic classes ×1
- multiplicative genus ×1
- smooth 4-manifold invariant ×1
- topological invariant relation ×1
Instances (14)
- Castelnuovo–Mumford regularity
- Chern classes via concept surface "cohomology class"
- Milnor K-theory via concept surface "algebraic K-theory"
- Todd class via concept surface "cohomology class"
-
Dolbeault cohomology classes
via concept surface "cohomology class"
surface form: Dolbeault cohomology class
- Hirzebruch genera via concept surface "multiplicative genus"
- Pontryagin classes via concept surface "characteristic classes"
- Euler class via concept surface "cohomology class"
- HOMFLY-PT homology via concept surface "categorified knot invariant"
- Betti numbers
- Stiefel–Whitney classes via concept surface "cohomology class"
- Seiberg–Witten invariants via concept surface "smooth 4-manifold invariant"
- Euler–Poincaré characteristic formula via concept surface "topological invariant relation"
- Quillen K-theory via concept surface "algebraic K-theory"