Statements (70)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:Mathematician
|
| gptkbp:bfsLayer |
4
|
| gptkbp:bfsParent |
gptkb:Khovanov_homology
|
| gptkbp:applies_to |
gptkb:quantum_computing
mathematical research educational contexts knot theory theoretical research low-dimensional topology |
| gptkbp:based_on |
graph theory
homological algebra mathematical concepts algebraic structures cohomology theories |
| gptkbp:connects |
Heegaard Floer homology
|
| gptkbp:defines |
diagrammatic techniques
|
| gptkbp:developed_by |
gptkb:Mikhail_Khovanov
Leonid Rozansky |
| gptkbp:has_expansion |
gptkb:Khovanov_homology
|
| gptkbp:has_programs |
gptkb:musician
|
| https://www.w3.org/2000/01/rdf-schema#label |
Khovanov-Rozansky homology
|
| gptkbp:is_connected_to |
representation theory
mathematical frameworks knot theory applications quantum invariants knot Floer homology knot invariants research link homology |
| gptkbp:is_explored_in |
gptkb:Research_Institute
algebraic topology mathematical analysis quantum topology knot theory research |
| gptkbp:is_influenced_by |
mathematical physics
abstract algebra category theory topological methods geometric topology |
| gptkbp:is_part_of |
advanced mathematics
mathematical literature knot invariants invariant theory modern knot theory |
| gptkbp:is_related_to |
gptkb:military_officer
mathematical theories topological structures surgery theory knot classification braid groups knot diagrams virtual knots |
| gptkbp:is_standardized_by |
gptkb:Khovanov_homology
|
| gptkbp:is_studied_in |
gptkb:Mathematician
graduate students theoretical physicists topologists research mathematicians |
| gptkbp:is_used_in |
mathematical physics
mathematical modeling academic studies topological invariants mathematical proofs invariants of 3-manifolds |
| gptkbp:is_used_to |
distinguish knots
study 3-manifolds analyze knots compute knot invariants develop new theories |
| gptkbp:provides |
link invariants
|
| gptkbp:uses |
categorification
|