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• W3087058069 abstract "The rational Borel equivariant cohomology for actions of a compact connected Lie group is determined by restriction of the action to a maximal torus. We show that a similar reduction holds for any compact Lie group $G$ when there is a closed subgroup $K$ such that the cohomology of the classifying space $BK$ is free over the cohomology of $BG$ for field coefficients. We study the particular case when $G$ is a semi-direct product and $K$ is its maximal elementary abelian 2-subgroup for cohomology with coefficients in a field of characteristic two. This provides a different approach to investigate the syzygy order of the equivariant cohomology of a space with a torus action and a compatible involution, and we relate this description with results for 2-torus actions." @default.
• W3087058069 created "2020-09-25" @default.
• W3087058069 creator A5088241109 @default.
• W3087058069 date "2020-09-17" @default.
• W3087058069 modified "2023-09-27" @default.
• W3087058069 title "The equivariant cohomology for semidirect product actions" @default.
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• W3087058069 hasPublicationYear "2020" @default.
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