Statements (51)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alternativeName |
V-manifold
orbifold space orbifold variety |
| gptkbp:defines |
space locally modeled on quotients of Euclidean space by finite group actions
|
| gptkbp:dimensions |
n-dimensional
|
| gptkbp:field |
gptkb:geometry
gptkb:topology |
| gptkbp:generalizes |
gptkb:Deligne–Mumford_stack
stack manifolds V-manifold |
| gptkbp:hasApplication |
gptkb:theoretical_physics
gptkb:moduli_problems crystallography mathematical physics symplectic geometry string theory compactification algebraic stacks |
| gptkbp:hasAtlas |
orbifold atlas
|
| gptkbp:hasCharts |
orbifold charts
|
| gptkbp:hasCoveringSpace |
orbifold covering space
|
| gptkbp:hasInvariant |
orbifold Euler characteristic
orbifold cohomology orbifold fundamental group |
| gptkbp:hasMorphisms |
orbifold morphisms
|
| gptkbp:hasSingularities |
true
|
| gptkbp:hasSingularPoints |
true
|
| gptkbp:hasSingularSet |
set of points with nontrivial local group
|
| gptkbp:hasSmoothPoints |
true
|
| gptkbp:hasSpecialCase |
bad orbifold
global quotient orbifold good orbifold local quotient orbifold |
| https://www.w3.org/2000/01/rdf-schema#label |
orbifolds
|
| gptkbp:introduced |
gptkb:William_Thurston
|
| gptkbp:mapType |
orbifold map
|
| gptkbp:relatedTo |
quotient spaces
group actions |
| gptkbp:structure |
complex structure
differentiable structure symplectic structure |
| gptkbp:studiedIn |
gptkb:algebraic_geometry
gptkb:string_theory differential geometry |
| gptkbp:universalCover |
orbifold universal cover
|
| gptkbp:usedIn |
gptkb:mirror_symmetry
crystallography moduli spaces |
| gptkbp:bfsParent |
gptkb:orbifold_theory
|
| gptkbp:bfsLayer |
7
|