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Equivariant cohomology

In mathematics, equivariant cohomology (or Borel cohomology) is a cohomology theory from algebraic topology which applies to topological spaces with a group action. It can be viewed as a common generalization of group cohomology and an ordinary cohomology theory.

Characters, Definitions & Equivariant characteristic classes

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Definitions

An example of a homotopy quotient

Equivariant characteristic classes

Relation to stacks

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Equivariant cohomology

Nodes48
Edges47
Triples76
Avg. degree1.96
Density0.041667
Components1

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Equivariant cohomology

Top relations

related to References · 34
Equivariant cohomology → Algebraic Geometry, American Mathematical Society, Atiyah, Bott, Cite, CiteSeerX, Cohomology Theory, Equivariant, Goresky, Hsiang, Inventiones Mathematicae, ISBN, Koszul, Kottwitz, Loring, MacPherson, March, Mark, Michael, Nato ASI Series
related to External links · 13
Equivariant cohomology → Cartan, EMS Press, Encyclopedia, Equivariant, Excellent, Introduction, ISBN, Mathematics, Meinrenken, PDF, Seoul National University, What, Young-Hoon Kiem
related to Definitions · 10
Equivariant cohomology → BG, Borel, Define, EG, If, Let, Projection, The, This, X/G
related to Equivariant characteristic classes · 10
Equivariant cohomology → Alternatively, An, Chern, EG, G-manifold, In, It, Let, Todd, Weil
related to Relation with groupoid cohomology · 7
Equivariant cohomology → Cartan, For, Lie, Omega, Rham, The, This
related to Localization theorem · 1
Equivariant cohomology → The
see also · 1
Equivariant cohomology → Equivariant

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Important terminology

cohomology displaystyle equivariant group space theory ring quotient eg complex bundle bg homotopy times lie pdf ordinary doi isbn principal

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SubjectPredicateObjectConfidenceSrc
Equivariant cohomologyrelated to DefinitionsLet0.60section
Equivariant cohomologyrelated to DefinitionsEG0.60section
Equivariant cohomologyrelated to DefinitionsDefine0.60section
Equivariant cohomologyrelated to DefinitionsThe0.60section
Equivariant cohomologyrelated to DefinitionsBorel0.60section
Equivariant cohomologyrelated to DefinitionsProjection0.60section
Equivariant cohomologyrelated to DefinitionsBG0.60section
Equivariant cohomologyrelated to DefinitionsThis0.60section
Equivariant cohomologyrelated to DefinitionsIf0.60section
Equivariant cohomologyrelated to DefinitionsX/G0.60section
Equivariant cohomologyrelated to Equivariant characteristic classesLet0.60section
Equivariant cohomologyrelated to Equivariant characteristic classesG-manifold0.60section

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