|
gptkbp:instanceOf
|
gptkb:quantum_field_theory
|
|
gptkbp:application
|
gptkb:quantum_computing
condensed matter physics
knot theory
low-dimensional topology
topological quantum computation
|
|
gptkbp:dimensions
|
3
|
|
gptkbp:field
|
gptkb:quantum_field_theory
gptkb:topology
mathematical physics
|
|
gptkbp:hasAxiom
|
gptkb:Michael_Atiyah
gptkb:Graeme_Segal
|
|
gptkbp:input
|
gptkb:2-manifold
gptkb:3-manifold
cobordism
|
|
gptkbp:introduced
|
gptkb:Edward_Witten
gptkb:Vladimir_Turaev
gptkb:Nicolai_Reshetikhin
|
|
gptkbp:notableExample
|
Chern-Simons TQFT
Dijkgraaf-Witten TQFT
Turaev-Viro TQFT
|
|
gptkbp:output
|
gptkb:Vector
linear map
|
|
gptkbp:relatedTo
|
gptkb:gauge_theory
gptkb:Jones_polynomial
gptkb:modular_functor
gptkb:modular_tensor_category
gptkb:quantum_topology
gptkb:Reshetikhin-Turaev_invariant
gptkb:Witten-Reshetikhin-Turaev_invariant
topological order
knot invariants
topological invariants
quantum invariants
fusion category
state sum model
3-cobordism category
TQFT functor
extended TQFT
quantum double model
|
|
gptkbp:studies
|
3-manifolds
cobordisms
|
|
gptkbp:uses
|
gptkb:Functor
gptkb:category_theory
gptkb:modular_functor
gptkb:monoidal_category
representation theory
quantum groups
|
|
gptkbp:bfsParent
|
gptkb:TQFT
|
|
gptkbp:bfsLayer
|
7
|
|
http://www.w3.org/2000/01/rdf-schema#label
|
3-dimensional TQFT
|