Lagrangian Floer homology

GPTKB entity

Statements (27)
Predicate Object
gptkbp:instanceOf gptkb:cohomology_theory
gptkbp:appliesTo Lagrangian submanifolds
gptkbp:category gptkb:topology
differential geometry
gptkbp:computes invariants of Lagrangian submanifolds
gptkbp:field gptkb:mathematics
symplectic geometry
gptkbp:generalizes gptkb:Morse_homology
https://www.w3.org/2000/01/rdf-schema#label Lagrangian Floer homology
gptkbp:introducedIn 1980s
gptkbp:inventedBy gptkb:Andreas_Floer
gptkbp:relatedTo gptkb:Floer_homology
gptkb:Fukaya_category
gptkb:Gromov–Witten_invariants
gptkb:A-infinity_category
symplectic manifold
Hamiltonian dynamics
gptkbp:requires compactness
orientability
transversality
gptkbp:studies intersection theory
pseudo-holomorphic curves
gptkbp:usedIn gptkb:mirror_symmetry
symplectic topology
homological mirror symmetry
gptkbp:bfsParent gptkb:Floer_homology
gptkbp:bfsLayer 7