Geodesic
A DESCENT SPECTRAL SEQUENCE FOR ARBITRARY K(n)-LOCAL SPECTRA WITH EXPLICIT E2-TERM
Glasgow mathematical journal, Tome 56 (2014) no. 2, pp. 369-380

Voir la notice de l'article provenant de la source Cambridge University Press

Let n be any positive integer and p be any prime. Also, let X be any spectrum and let K(n) denote the nth Morava K-theory spectrum. Then we construct a descent spectral sequence with abutment π∗(LK(n)(X)) and E2-term equal to the continuous cohomology of Gn, the extended Morava stabilizer group, with coefficients in a certain discrete Gn-module that is built from various homotopy fixed point spectra of the Morava module of X. This spectral sequence can be contrasted with the K(n)-local En-Adams spectral sequence for π∗(LK(n)(X)), whose E2-term is not known to always be equal to a continuous cohomology group.
DOI : 10.1017/S001708951300030X
Mots-clés : Primary 55P42, 55T15, 55Q51 
DAVIS, DANIEL G.; LAWSON, TYLER. A DESCENT SPECTRAL SEQUENCE FOR ARBITRARY K(n)-LOCAL SPECTRA WITH EXPLICIT E2-TERM. Glasgow mathematical journal, Tome 56 (2014) no. 2, pp. 369-380. doi: 10.1017/S001708951300030X
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