TQFT (Topological Quantum Field Theory)

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb:mathematical_concept gptkb:theoretical_physics
gptkbp:abbreviation	gptkb:Topological_Quantum_Field_Theory
gptkbp:appliesTo	manifolds
gptkbp:describedBy	Atiyah's 1988 paper
gptkbp:dimensions	can be defined in any dimension
gptkbp:example	functor from cobordism category to vector spaces
gptkbp:hasAxiom	gptkb:Michael_Atiyah gptkb:Graeme_Segal
https://www.w3.org/2000/01/rdf-schema#label	TQFT (Topological Quantum Field Theory)
gptkbp:introduced	gptkb:Edward_Witten
gptkbp:relatedTo	gptkb:gauge_theory gptkb:quantum_gravity gptkb:Frobenius_algebra gptkb:string_theory gptkb:Jones_polynomial gptkb:category_theory gptkb:quantum_Hall_effect gptkb:BF_theory gptkb:modular_functor gptkb:modular_tensor_category gptkb:quantum_topology gptkb:Atiyah-Segal_axioms gptkb:Dijkgraaf-Witten_theory gptkb:Turaev-Viro_model gptkb:Reshetikhin-Turaev_invariants gptkb:Witten-Reshetikhin-Turaev_invariant gptkb:Khovanov_homology knot theory quantum groups path integral topological order anyons quantum invariants state sum models fusion category 2D TQFT 3D TQFT extended TQFT modular category 4D TQFT homotopy quantum field theory topological invariants of knots and links
gptkbp:studies	topological invariants
gptkbp:usedFor	gptkb:topological_quantum_computing quantum computation computing invariants of manifolds
gptkbp:usedIn	gptkb:quantum_field_theory gptkb:topology mathematical physics
gptkbp:bfsParent	gptkb:Quantum_Topology
gptkbp:bfsLayer	8