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arXiv · 1501.03425

Rational equivariant cohomology theories with toral support

J. P. C. Greenlees
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Abstract

For an arbitrary compact Lie group G, we describe a model for rational G-spectra with toral geometric isotropy and show that there is a convergent Adams spectral sequence based on it. The contribution from geometric isotropy at a subgroup K of the maximal torus of G is captured by a module over H^*(BW_G(K)_e) with an action of π_0(W_G(K)), where W_G(K)=N_G(K)/K and the subscript e denotes the identity component.

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J. P. C. Greenlees. 2015-08-07. Rational equivariant cohomology theories with toral support. https://doi.org/10.2140/agt.2016.16.1953

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