Equivariant Grothendieck ring of a complete symmetric variety of minimal rank

DOI10.1007/s00229-023-01495-2arXiv2208.06635OpenAlexW4384405855MaRDI QIDQ6120309

Vikraman Uma

Publication date: 20 February 2024

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.06635

Mathematics Subject Classification ID

Topological (K)-theory (19L99) Compactifications; symmetric and spherical varieties (14M27) (K)-theory in geometry (19E99)

Cites Work

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• Equivariant cohomology of the wonderful group compactification.
• Groupe de Picard et nombres caractéristiques des variétés sphériques. (Picard group and characteristic numbers of spheric varieties.)
• The ring of conditions of a semisimple group
• Equivariant Chow ring and Chern classes of wonderful symmetric varieties of minimal rank
• Compactification of symmetric varieties
• Equivariant Chow groups for torus actions
• The behavior at infinity of the Bruhat decomposition
• Higher algebraic \(K\)-theory for actions of diagonalizable groups
• Cohomology of regular embeddings
• Equivariant cobordism of flag varieties and of symmetric varieties
• Equivariant \(K\)-theory of compactifications of algebraic groups
• Equivariant $ K$-theory of regular compactifications: further developments
• Cohomologie des fibrés en droites sur les variétés magnifiques de rang minimal

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