Localizing the e2 page of the adams spectral sequence

Eva Belmont*

*Corresponding author for this work

Research output: Contribution to journalArticle

Abstract

There is only one nontrivial localization of π*S.p) (the chromatic localization at v0 D p), but there are infinitely many nontrivial localizations of the Adams E2 page for the sphere. The first nonnilpotent element in the E2 page after v0 is b10 2 ExtA2,2p.p 1).Fp, Fp ). We work at p D 3 and study b101Ext*,*P.F3, F3) (where P is the algebra of dual reduced powers), which agrees with the infinite summand ExtP*,*.F3, F3) of ExtA*,*.F3, F3) above a line of slope231. We compute up to the E9 page of an Adams spectral sequence in the category Stable.P ) converging to b101Ext*,*P.F3, F3), and conjecture that the spectral sequence collapses at E9. We also give a complete calculation of b101Ext*,*P.F3, F3[E13]).

Original languageEnglish (US)
Pages (from-to)1965-2028
Number of pages64
JournalAlgebraic and Geometric Topology
Volume20
Issue number4
DOIs
StatePublished - 2020

ASJC Scopus subject areas

  • Geometry and Topology

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