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arXiv · 2501.06914

Spaces of subgroups of toral groups

J. P. C. Greenlees
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Abstract

We study the space of conjugacy classes of subgroups of a compact Lie group G whose identity component is a torus, and consider how various invariants of subgroups behave as sheaves over this space. This feeds in to the author's programme to give algebraic models of rational G-equivariant cohomology theories. The methods are illustrated by making the outcome explicit for all toral subgroups of compact connected rank 2 groups.

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J. P. C. Greenlees. 2025-01-12. Spaces of subgroups of toral groups. https://arxiv.org/abs/2501.06914

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