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 (2)

Label Occurrences
Adrian Ocneanu 1
Andrew Ocneanu canonical 1

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Statements (44)

Predicate Object
instanceOf mathematician ⓘ
alsoKnownAs Adrian Ocneanu ⓘ
linked to: Andrew Ocneanu
associatedWith HOMFLY-PT polynomial ⓘ
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 ⓘ
Ocneanu paragroup ⓘ
quantum symmetry associated to subfactors ⓘ
hasResearchImpactOn HOMFLY-PT polynomial and its generalizations ⓘ
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 ⓘ
Subfactor theory of Jones index ⓘ
Vaughan Jones ⓘ
nationality Romanian-American ⓘ
notableFor Ocneanu cells ⓘ
Ocneanu rigidity in subfactor theory ⓘ
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 ⓘ

How these facts were elicited

Referenced by (2)

Full triples — surface form annotated when it differs from this entity's canonical label.

HOMFLY-PT polynomial → introducedBy → Andrew Ocneanu ⓘ
Andrew Ocneanu → alsoKnownAs → Adrian Ocneanu ⓘ
linked to: Andrew Ocneanu