Statements (33)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:logic
|
| gptkbp:author |
Mikhail Khovanov
|
| gptkbp:definedIn |
oriented links
graded abelian groups |
| gptkbp:Euler_characteristic |
gptkb:Jones_polynomial
|
| gptkbp:field |
gptkb:topology
knot theory |
| gptkbp:generalizes |
gptkb:Jones_polynomial
Khovanov–Rozansky homology colored Khovanov homology odd Khovanov homology |
| gptkbp:hasApplication |
gptkb:quantum_topology
mathematical physics representation theory knot concordance |
| gptkbp:hasComputation |
cube of resolutions
|
| gptkbp:hasGrading |
homological grading
quantum grading |
| gptkbp:hasInvariant |
Khovanov homology groups
|
| https://www.w3.org/2000/01/rdf-schema#label |
Khovanov homology
|
| gptkbp:introducedIn |
1999
|
| gptkbp:namedAfter |
Mikhail Khovanov
|
| gptkbp:provides |
categorification of the Jones polynomial
|
| gptkbp:publishedIn |
Duke Mathematical Journal, 1999
|
| gptkbp:relatedTo |
categorification
Heegaard Floer homology Knot Floer homology |
| gptkbp:type |
link invariant
|
| gptkbp:usedIn |
low-dimensional topology
|
| gptkbp:bfsParent |
gptkb:Knot_theory
gptkb:Igor_Frenkel gptkb:Dror_Bar-Natan |
| gptkbp:bfsLayer |
6
|