A Toda bracket convergence theorem for multiplicative spectral sequences

2021/12/16 by Belmont, Eva, Kong, Hana Jia · 1 citation
#14F42 (Secondary) #55S30 #55T05 (Primary) 55S20 #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.2112.08689

Abstract

Moss' theorem, which relates Massey products in the E_r-page of the classical Adams spectral sequence to Toda brackets of homotopy groups, is one of the main tools for calculating Adams differentials. Working in an arbitrary symmetric monoidal stable topological model category, we prove a general version of Moss' theorem which applies to spectral sequences that arise from filtrations compatible with the monoidal structure. The theorem has broad applications, e.g. to the computation of the motivic slice and motivic Adams spectral sequences.

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• Exotic periodic phenomena in the cohomology of the moduli stack of 1-dimensional formal group laws

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