Rational equivariant cohomology theories with toral support
Algebraic Topology
2016-09-21 v2
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 \pi_0(W_G(K)), where W_G(K)=N_G(K)/K and the subscript e denotes the identity component.
Keywords
Cite
@article{arxiv.1501.03425,
title = {Rational equivariant cohomology theories with toral support},
author = {J. P. C. Greenlees},
journal= {arXiv preprint arXiv:1501.03425},
year = {2016}
}
Comments
Additional details, especially on the construction, realization and use of injectives. Improved exposition