Homological mirror symmetry conjecture

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb:mathematical_concept
gptkbp:appliesTo	gptkb:Calabi–Yau_manifolds
gptkbp:category1	gptkb:derived_category_of_coherent_sheaves
gptkbp:category2	gptkb:Fukaya_category
gptkbp:field	gptkb:algebraic_geometry mathematical physics symplectic geometry
gptkbp:formedBy	gptkb:Maxim_Kontsevich 1994
gptkbp:hasApplication	gptkb:D-branes_in_string_theory enumerative geometry
gptkbp:hasProofsOf	gptkb:toric_varieties elliptic curves quartic surfaces
gptkbp:influenced	gptkb:string_theory derived algebraic geometry categorical approaches in geometry
gptkbp:notablePerson	gptkb:Alexander_Polishchuk gptkb:Paul_Seidel gptkb:Ludmil_Katzarkov gptkb:Dmitri_Orlov Denis Auroux
gptkbp:relatedConcept	gptkb:A-model gptkb:B-model
gptkbp:relatedTo	gptkb:mirror_symmetry gptkb:topological_field_theory string duality
gptkbp:state	derived category of coherent sheaves on a Calabi–Yau manifold is equivalent to the Fukaya category of its mirror
gptkbp:surveyedBy	Maxim Kontsevich, 1994 ICM address
gptkbp:bfsParent	gptkb:Maxim_Kontsevich
gptkbp:bfsLayer	7
https://www.w3.org/2000/01/rdf-schema#label	Homological mirror symmetry conjecture