Andrew Ocneanu
E665093
Andrew Ocneanu is a mathematician known for his influential work in subfactor theory, quantum topology, and knot invariants, including contributions to the development of the HOMFLY-PT polynomial.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Andrew Ocneanu canonical | 1 |
Statements (44)
| Predicate | Object |
|---|---|
| instanceOf | mathematician ⓘ |
| alsoKnownAs | Adrian Ocneanu NERFINISHED ⓘ |
| associatedWith | HOMFLY-PT polynomial NERFINISHED ⓘ |
| contributedTo |
classification of subfactors of small index
ⓘ
construction of invariants of 3-manifolds ⓘ construction of knot invariants from subfactors ⓘ fusion categories arising from subfactors ⓘ theory of paragroups ⓘ |
| fieldOfWork |
conformal field theory
ⓘ
knot theory ⓘ operator algebras ⓘ quantum groups ⓘ quantum topology ⓘ subfactor theory ⓘ |
| hasConcept |
Ocneanu cells
NERFINISHED
ⓘ
Ocneanu paragroup NERFINISHED ⓘ quantum symmetry associated to subfactors ⓘ |
| hasResearchImpactOn |
HOMFLY-PT polynomial and its generalizations
NERFINISHED
ⓘ
knot invariants such as the Jones polynomial ⓘ modular tensor categories ⓘ quantum invariants in low-dimensional topology ⓘ topological quantum field theory ⓘ |
| influenced |
applications of subfactors to low-dimensional topology
ⓘ
development of modern subfactor theory ⓘ use of operator algebras in knot theory ⓘ |
| influencedBy |
Alain Connes
NERFINISHED
ⓘ
Subfactor theory of Jones index NERFINISHED ⓘ Vaughan Jones NERFINISHED ⓘ |
| nationality | Romanian-American ⓘ |
| notableFor |
Ocneanu cells
NERFINISHED
ⓘ
Ocneanu rigidity in subfactor theory NERFINISHED ⓘ connections between subfactors and quantum symmetry ⓘ contributions to knot invariants ⓘ contributions to quantum topology ⓘ contributions to the HOMFLY-PT polynomial ⓘ development of paragroup theory ⓘ work on subfactors of von Neumann algebras ⓘ |
| researchArea |
fusion rules and tensor categories
ⓘ
index theory for subfactors ⓘ quantum invariants of 3-manifolds ⓘ quantum invariants of knots and links ⓘ |
| usedTool |
C*-algebras
ⓘ
planar algebras ⓘ von Neumann algebras NERFINISHED ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.