Wonderful symmetric varieties and Schubert polynomials

DOI10.26493/1855-3974.1062.ba8zbMath1423.14292arXiv1509.03292OpenAlexW2963101637MaRDI QIDQ4629562

Michael Joyce, Mahir Bilen Can, Benjamin J. Wyser

Publication date: 27 March 2019

Published in: Ars Mathematica Contemporanea (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.03292

zbMATH Keywords

symmetric varietiesequivariant cohomologySchubert polynomialswonderful compactificationweak orderparabolic induction

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Grassmannians, Schubert varieties, flag manifolds (14M15) Compactifications; symmetric and spherical varieties (14M27)

Related Items (3)

Involution words: counting problems and connections to Schubert calculus for symmetric orbit closures ⋮ Involution Schubert-Coxeter combinatorics ⋮ Transition formulas for involution Schubert polynomials

Cites Work

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• Chains in weak order posets associated to involutions
• Spherical homogeneous spaces of minimal rank
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• \(K\)-orbit closures on \(G/B\) as universal degeneracy loci for flagged vector bundles with symmetric or skew-symmetric bilinear form
• Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts
• Weak order on complete quadrics
• Localization in equivariant intersection theory and the Bott residue formula
• On Complete Quadrics (I)
• On orbit closures of spherical subgroups in flag varieties.

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