Topological Quantum Field Theory

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb:theoretical_physics mathematical physics concept
gptkbp:abbreviation	gptkb:TQFT
gptkbp:application	gptkb:quantum_computing gptkb:string_theory knot theory low-dimensional topology
gptkbp:appliesTo	manifolds
gptkbp:category	gptkb:monoidal_category symmetric monoidal category
gptkbp:dependsOn	metric structure
gptkbp:describes	topological properties of space-time
gptkbp:dimensions	can be defined in various dimensions
gptkbp:example	gptkb:gauge_theory gptkb:BF_theory 2D TQFT 3D TQFT
gptkbp:formedBy	gptkb:Segal's_axioms Atiyah's axioms
https://www.w3.org/2000/01/rdf-schema#label	Topological Quantum Field Theory
gptkbp:introduced	gptkb:Edward_Witten
gptkbp:mapType	cobordisms to vector spaces
gptkbp:relatedTo	gptkb:Functor gptkb:gauge_theory gptkb:quantum_gravity gptkb:Frobenius_algebra gptkb:Jones_polynomial gptkb:category_theory gptkb:Donaldson_theory gptkb:modular_functor gptkb:quantum_topology gptkb:topological_string_theory gptkb:Reshetikhin-Turaev_invariant gptkb:Turaev-Viro_invariant gptkb:Witten-Reshetikhin-Turaev_invariant homotopy theory topological order knot invariants quantum invariants modular tensor categories state sum model modular category
gptkbp:studiedBy	mathematical physicists topologists quantum field theorists
gptkbp:studies	gptkb:quantum_field_theory topological invariants
gptkbp:usedIn	gptkb:mathematics physics
gptkbp:bfsParent	gptkb:TQFT
gptkbp:bfsLayer	7