Geodesic
Algebraic slice spectral sequences
Documenta mathematica, Tome 26 (2021), pp. 1085-1119 Cet article a éte moissonné depuis la source EMS Press

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For certain motivic spectra, we construct a square of spectral sequences relating the effective slice spectral sequence and the motivic Adams spectral sequence. We show the square can be constructed for connective algebraic K-theory, motivic Morava K-theory, and truncated motivic Brown-Peterson spectra. In these cases, we show that the R-motivic effective slice spectral sequence is completely determined by the ρ-Bockstein spectral sequence. Using results of Heard, we also obtain applications to the Hill-Hopkins-Ravenel slice spectral sequences for connective Real K-theory, Real Morava K-theory, and truncated Real Brown-Peterson spectra.
DOI : 10.4171/dm/836
Classification : 14F42, 55P42, 55P91, 55T05, 55T15
Mots-clés : motivic Adams spectral sequence, slice spectral sequence, algebraic slice spectral sequence 
@article{10_4171_dm_836,
     author = {Dominic Leon Culver and Hana Jia Kong and J. D. Quigley},
     title = {Algebraic slice spectral sequences},
     journal = {Documenta mathematica},
     pages = {1085--1119},
     year = {2021},
     volume = {26},
     doi = {10.4171/dm/836},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/836/}
}
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Dominic Leon Culver; Hana Jia Kong; J. D. Quigley. Algebraic slice spectral sequences. Documenta mathematica, Tome 26 (2021), pp. 1085-1119. doi: 10.4171/dm/836

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