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arXiv · 1808.07342

Borel cohomology and the relative Gorenstein condition for classifying spaces of compact Lie groups

J. P. C. Greenlees
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Abstract

For a compact Lie group G we show that if the representing spectrum for Borel cohomology generates its category of modules if G is connected. For a closed subgroup H of G we consider the map C^*(BG)--->C^*(BH) and establish the sense in which it is relatively Gorenstein. Throughout, we pay careful attention to the importance of connectedness of the groups.

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J. P. C. Greenlees. 2018-08-22. Borel cohomology and the relative Gorenstein condition for classifying spaces of compact Lie groups. https://arxiv.org/abs/1808.07342

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