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arXiv · 2110.00268

Rational torus-equivariant stable homotopy V: the torsion Adams spectral sequence

J. P. C. Greenlees
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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.

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BibTeXRIS

J. P. C. Greenlees. 2021-10-01. Rational torus-equivariant stable homotopy V: the torsion Adams spectral sequence. https://arxiv.org/abs/2110.00268

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