Rational torus-equivariant homotopy I: calculating groups of stable maps
Algebraic Topology
2007-05-23 v1
Abstract
We construct an abelian category A(G) of sheaves over a category of closed subgroups of the r-torus G and show it is of finite injective dimension. It can be used as a model for rational -spectra in the sense that there is a homology theory \piA_*: G-spectra/Q --> A(G) on rational G-spectra with values in A(G), and the associated Adams spectral sequence converges for all rational -spectra and collapses at a finite stage.
Keywords
Cite
@article{arxiv.0705.2686,
title = {Rational torus-equivariant homotopy I: calculating groups of stable maps},
author = {J. P. C. Greenlees},
journal= {arXiv preprint arXiv:0705.2686},
year = {2007}
}