gptkbp:instanceOf
|
gptkb:mathematical_concept
|
gptkbp:application
|
gptkb:mirror_symmetry
integrable systems
singularity theory
|
gptkbp:field
|
gptkb:mathematics
|
gptkbp:hasSubfield
|
gptkb:algebraic_geometry
differential geometry
mathematical physics
|
https://www.w3.org/2000/01/rdf-schema#label
|
Frobenius manifolds
|
gptkbp:introduced
|
gptkb:Boris_Dubrovin
|
gptkbp:introducedIn
|
1990s
|
gptkbp:notableWork
|
gptkb:B._Dubrovin,_Geometry_of_2D_topological_field_theories,_1996
gptkb:C._Hertling,_Frobenius_Manifolds_and_Moduli_Spaces_for_Singularities,_2002
|
gptkbp:property
|
potentiality condition (existence of a potential function)
existence of a unit vector field
multiplication compatible with a flat metric
manifold with a commutative, associative multiplication on the tangent bundle
|
gptkbp:relatedTo
|
gptkb:Frobenius_algebra
gptkb:quantum_cohomology
gptkb:topological_field_theory
WDVV equations
|
gptkbp:bfsParent
|
gptkb:Frobenius_Manifolds,_Quantum_Cohomology,_and_Moduli_Spaces
gptkb:Gromov-Witten_invariants
|
gptkbp:bfsLayer
|
6
|