Statements (64)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:Mathematician
|
| gptkbp:bfsLayer |
3
|
| gptkbp:bfsParent |
gptkb:Mikhail_Khovanov
|
| gptkbp:applies_to |
gptkb:musician
gptkb:quantum_computing knot theory mathematical physics research mathematical explorations |
| gptkbp:category |
gptkb:Khovanov-Rozansky_homology
|
| gptkbp:constructed_in |
a cube of resolutions
|
| gptkbp:defines |
a homology theory for knots
|
| gptkbp:developed_by |
gptkb:Mikhail_Khovanov
|
| gptkbp:examines |
algebraic geometry
mathematical literature topological invariants research |
| gptkbp:has_expansion |
homological algebra
|
| gptkbp:has_programs |
low-dimensional topology
|
| https://www.w3.org/2000/01/rdf-schema#label |
Khovanov homology
|
| gptkbp:is_analyzed_in |
algebraic topology
mathematical journals |
| gptkbp:is_connected_to |
topological invariants
virtual knots knot concordance Heegaard Floer homology knot theory developments |
| gptkbp:is_considered |
knot classification
|
| gptkbp:is_discussed_in |
conferences
academic papers mathematical seminars |
| gptkbp:is_explored_in |
gptkb:academic_research
gptkb:Mathematician mathematical physics research articles topological quantum field theories topological studies |
| gptkbp:is_influenced_by |
category theory
homotopy theory algebraic topology concepts |
| gptkbp:is_informed_by |
combinatorial topology
|
| gptkbp:is_linked_to |
representation theory
|
| gptkbp:is_part_of |
gptkb:physicist
modern topology knot invariants knot theory research |
| gptkbp:is_related_to |
knot polynomials
surgery theory link invariants braid groups knot diagrams knot theory applications derived category |
| gptkbp:is_represented_in |
terms of chain complexes
|
| gptkbp:is_standardized_by |
Jones polynomial
|
| gptkbp:is_studied_in |
gptkb:Mathematician
research institutions graduate programs |
| gptkbp:is_used_in |
gptkb:military_officer
|
| gptkbp:is_used_to |
distinguish knots
study 3-manifolds |
| gptkbp:is_utilized_in |
mathematical modeling
mathematical research quantum topology |
| gptkbp:provides |
categorification of the Jones polynomial
|
| gptkbp:training |
university courses
|