Generalized moment graphs and the equivariant intersection cohomology of BXB-orbit closures in the wonderful compactification of a group

DOI10.1090/tran/8109zbMath1456.14064OpenAlexW3006295147MaRDI QIDQ5125078

Stephen Oloo

Publication date: 1 October 2020

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/tran/8109

zbMATH Keywords

intersection cohomologywonderful compactificationmoment graphBrendan-MacPherson sheaf

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43) Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) (32S60) Compactifications; symmetric and spherical varieties (14M27)

Cites Work

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• Kazhdan-Lusztig combinatorics in the moment graph setting
• Sheaves on moment graphs and a localization of Verma flags
• Topological Schur lemma and related results
• Moment graphs in representation theory and geometry
• From moment graphs to intersection cohomology

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