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gptkbp:instanceOf
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gptkb:mathematical_concept
|
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gptkbp:describes
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gptkb:vector_bundles
principal bundles
|
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gptkbp:field
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gptkb:algebraic_geometry
gptkb:topology
differential geometry
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https://www.w3.org/2000/01/rdf-schema#label
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characteristic classes
|
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gptkbp:includes
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gptkb:Pontryagin_classes
gptkb:Chern_classes
gptkb:Stiefel–Whitney_classes
gptkb:Todd_class
Euler class
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gptkbp:introduced
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gptkb:Hassler_Whitney
|
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gptkbp:relatedTo
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gptkb:Gauss–Bonnet_theorem
gptkb:Riemann–Roch_theorem
gptkb:algebraic_geometry
gptkb:topology
gptkb:Atiyah–Singer_index_theorem
gptkb:K-theory
gptkb:fiber
gptkb:Riemannian_manifold
gptkb:Lie_group
gptkb:cohomology_theory
gptkb:Borel–Weil–Bott_theorem
gptkb:Thom_isomorphism
gptkb:Chern–Weil_theory
gptkb:de_Rham_cohomology
homotopy theory
transition function
Kähler manifold
differential forms
homogeneous space
real manifold
spectral sequences
classifying space
bundle map
structure group
classifying map
obstruction cocycle
principal bundle theory
secondary characteristic classes
universal bundle
universal characteristic class
vector bundle theory
|
|
gptkbp:usedIn
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gptkb:gauge_theory
index theory
obstruction theory
classification of fiber bundles
algebraic topology invariants
|
|
gptkbp:bfsParent
|
gptkb:Lie_groups
gptkb:Milnor–Wood_inequality
|
|
gptkbp:bfsLayer
|
5
|