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. Specifically, the equivariant cohomology ring of a space with action of a topological group is defined as the ordinary cohomology ring with coefficient ring of the homotopy quotient :
Borel constructionBorel–Moore homologyBredon cohomologyCartan modelClassifying spaceCohomologyCohomology of a stackDuistermaat–Heckman formulaEquivariant characteristic classEquivariant cohomogy ringEquivariant cohomology ringEquivariant differential formEquivariant homology theoryEquivariant mapEquivariant sheafEquivariant topologyFarrell–Jones conjectureFocal subgroup theoremGKM varietyGeneralized flag varietyGroup-scheme actionJulianna TymoczkoKirwan mapKoszul dualityLie group actionLocalization formula for equivariant cohomologyMichael_AtiyahMichèle VergneStratifoldTorus actionUniversal bundle
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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. Specifically, the equivariant cohomology ring of a space with action of a topological group is defined as the ordinary cohomology ring with coefficient ring of the homotopy quotient :
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In mathematics, equivariant co ...... y equivalence and so one gets:
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대수적 위상수학에서, 등변 코호몰로지(等變cohomol ...... 지와 특이 코호몰로지를 일반화하는 코호몰로지 이론이다.
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Equivariant cohomology
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In mathematics, equivariant co ...... ing of the homotopy quotient :
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대수적 위상수학에서, 등변 코호몰로지(等變cohomol ...... 지와 특이 코호몰로지를 일반화하는 코호몰로지 이론이다.
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Equivariant cohomology
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등변 코호몰로지
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