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gptkbp:instanceOf
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gptkb:mathematical_concept
|
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gptkbp:appliesTo
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topological spaces with group actions
|
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gptkbp:field
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gptkb:topology
differential geometry
|
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gptkbp:generalizes
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ordinary cohomology
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gptkbp:hasVariant
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gptkb:Borel_equivariant_cohomology
gptkb:Cartan_model
gptkb:Weil_model
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|
https://www.w3.org/2000/01/rdf-schema#label
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equivariant cohomology
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gptkbp:introduced
|
gptkb:Armand_Borel
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gptkbp:introducedIn
|
1950s
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gptkbp:relatedTo
|
gptkb:Duistermaat–Heckman_theorem
gptkb:Gysin_sequence
gptkb:cohomology_theory
gptkb:Atiyah–Bott_localization_theorem
homotopy theory
equivariant K-theory
fixed point theorem
torus action
group action
classifying space
moment map
Hamiltonian group action
equivariant characteristic classes
equivariant de Rham cohomology
equivariant homology
|
|
gptkbp:usedFor
|
gptkb:algebraic_geometry
representation theory
localization theorems
studying symmetries in topology
|
|
gptkbp:usedIn
|
gptkb:mathematics
|
|
gptkbp:bfsParent
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gptkb:Algebraic_topology
gptkb:Equivariant_K-theory
gptkb:Schubert_calculus
gptkb:Transformation_Groups
gptkb:Geometric_representation_theory
|
|
gptkbp:bfsLayer
|
6
|