On the Spectrum of the Equivariant Cohomology Ring

DOI10.4153/CJM-2010-016-4zbMath1193.14025WikidataQ101084058 ScholiaQ101084058MaRDI QIDQ3550143

Robert MacPherson, Mark Goresky

Publication date: 31 March 2010

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

toric varietiesSchubert varietiesequivariant cohomologylocalization theoremSpringer fibersarrangement of linear subspacesequivariantly formal

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Transformation groups and semigroups (topological aspects) (54H15) Group actions on varieties or schemes (quotients) (14L30) Grassmannians, Schubert varieties, flag manifolds (14M15) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43)

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The torus equivariant cohomology rings of Springer varieties ⋮ Intersection theory of the Peterson variety and certain singularities of Schubert varieties ⋮ Schubert calculus and singularity theory ⋮ An algebro-geometric realization of equivariant cohomology of some Springer fibers ⋮ Cuspidal \(\mathfrak{sl}_n\)-modules and deformations of certain Brauer tree algebras ⋮ Cohomology of Spaltenstein varieties ⋮ Localization algebras and deformations of Koszul algebras. ⋮ Semiorthogonal decompositions of the categories of equivariant coherent sheaves for some reflection groups ⋮ Schubert calculus and the homology of the Peterson variety

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