Mapping algebras and the Adams spectral sequence

2020/01/22 by Blanc, David, Ghosh, Surojit
#55T15 #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.2001.08018

Abstract

The E₂-term of the Adams spectral sequence for Y may be described in terms of its cohomology E^∗ Y, together with the action of the primary operations E^∗ E on it, for ring spectra such as E = H\mathbbF_p. We show how the higher terms of the spectral sequence can be similarly described in terms of the higher order truncated E-mapping algebra for Y - that is truncations of the function spectra Fun(Y, M) for various E-modules M, equipped with the action of Fun(M, M') on them.

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