Rational torus-equivariant stable homotopy V: the torsion Adams spectral sequence
Algebraic Topology
2022-11-15 v2
Abstract
We provide a calculational method for rational stable equivariant homotopy theory for a torus G based on the homology of the Borel construction on fixed points. More precisely we define an abelian torsion model, A_t(G) of finite injective dimension, a homology theory \piAt_* taking values in A_t(G) based on the homology of the Borel construction, and a finite Adams spectral sequence Ext_{A_t(G)}^{*,*}(\piAt_*(X), \piAt_*(Y)) ==> [X,Y]^G_* for rational G-spectra X and Y.
Keywords
Cite
@article{arxiv.2110.00268,
title = {Rational torus-equivariant stable homotopy V: the torsion Adams spectral sequence},
author = {J. P. C. Greenlees},
journal= {arXiv preprint arXiv:2110.00268},
year = {2022}
}