Geodesic
The equivariant slice filtration: a primer
Homology, homotopy, and applications, Tome 14 (2012) no. 2, pp. 143-166.

Voir la notice de l'article provenant de la source International Press of Boston

We present an introduction to the equivariant slice filtration. After reviewing the definitions and basic properties, we determine the slice-connectivity of various families of naturally arising spectra. This leads to an analysis of pullbacks of slices defined on quotient groups, producing new collections of slices. Building on this, we determine the slice tower for the Eilenberg-Mac Lane spectrum associated to a Mackey functor for a cyclic $p$-group. We then relate the Postnikov tower to the slice tower for various spectra. Finally, we pose a few conjectures about the nature of slices and pullbacks.
DOI : 10.4310/HHA.2012.v14.n2.a9
Classification : 55N91, 55P91, 55P92
Keywords: slice spectral sequence, slice filtration, equivariant homotopy 
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     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2012.v14.n2.a9/}
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Michael A. Hill. The equivariant slice filtration: a primer. Homology, homotopy, and applications, Tome 14 (2012) no. 2, pp. 143-166. doi : 10.4310/HHA.2012.v14.n2.a9. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2012.v14.n2.a9/

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