Vol. 62, No. 2, 1976

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The stratification of compact connected Lie group actions by subtori

Christopher Allday

Vol. 62 (1976), No. 2, 311–327
Abstract

A stratification of the spectrum of the mod p equivariant cohomology ring of a compact Lie group action in terms of elementary p-subgroups has been obtained by Quillen. A corresponding result for compact connected Lie group actions in terms of subtori is proven in this paper by different means. In addition some localization and primary decomposition theorems are obtained. The paper closes with an application to uniform torus actions.

Mathematical Subject Classification
Primary: 57E10, 57E10
Milestones
Received: 17 July 1974
Published: 1 February 1976
Authors
Christopher Allday