On the equivariant cohomology of subvarieties of a \(\mathfrak{B}\)-regular variety

DOI10.1007/s00031-008-9033-xzbMath1206.14042arXiv0809.1136OpenAlexW2012186432MaRDI QIDQ1024615

Kiumars Kaveh, Carrell, James B.

Publication date: 17 June 2009

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.1136

zbMATH Keywords

flag varietiesequivariant cohomologysubvarietiesregular varietiesSchubert subvarieties

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43)

Related Items (2)

Poset pinball, the dimension pair algorithm, and type \(A\) regular nilpotent Hessenberg varieties ⋮ Betti numbers of smooth Schubert varieties and the remarkable formula of Kostant, Macdonald, Shapiro, and Steinberg

Cites Work

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• Cohomology of projective varieties with regular \(SL_ 2\) actions
• Vector fields and Chern numbers
• Equivariant cohomology, Koszul duality, and the localization theorem
• The equivariant cohomology ring of regular varieties
• Paving Hessenberg varieties by affines
• A generalization of the Kostant—Macdonald identity
• Deformation of the nilpotent zero scheme and the intersection ring of invariant subvarieties.

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