mirror symmetry for Calabi–Yau manifolds

URI: https://gptkb.org/entity/mirror_symmetry_for_Calabi–Yau_manifolds
GPTKB entity
Statements (34)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:application mathematical physics
string compactification
prediction of enumerative invariants
gptkbp:describes duality between pairs of Calabi–Yau manifolds
gptkbp:field gptkb:algebraic_geometry
gptkb:mathematics
gptkb:theoretical_physics
gptkb:string_theory
gptkbp:firstMajorResult enumeration of rational curves on quintic threefold
https://www.w3.org/2000/01/rdf-schema#label mirror symmetry for Calabi–Yau manifolds
gptkbp:implies equivalence of physical theories on mirror pairs
gptkbp:notableConjecture homological mirror symmetry conjecture
gptkbp:notablePerson gptkb:Paul_Green
gptkb:Philip_Candelas
gptkb:Maxim_Kontsevich
gptkb:David_Morrison
gptkb:Sheldon_Katz
Tomas Hübsch
gptkbp:property exchanges Hodge numbers h^{1,1} and h^{2,1}
mirror pairs have exchanged complex and Kähler moduli
gptkbp:relatedTo gptkb:string_theory
gptkb:topological_string_theory
Kähler manifold
symplectic geometry
duality
complex geometry
Hodge numbers
gptkbp:usedIn gptkb:Gromov–Witten_invariants
enumerative geometry
homological mirror symmetry
gptkbp:yearOfMajorResult 1991
gptkbp:bfsParent gptkb:Givental's_mirror_theorem
gptkbp:bfsLayer 8