Higher structure in the unstable Adams spectral sequence

Samik Basu; David Blanc; Debasis Sen

doi:10.4310/hha.2021.v23.n2.a5

Higher structure in the unstable Adams spectral sequence

Samik Basu
, David Blanc
, Debasis Sen

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We describe a variant construction of the unstable Adams spectral sequence for a space Y, associated to any free simplicial resolution of H∗(Y;R), for R=Fp or Q. We use this construction to describe the differentials and filtration in the spectral sequence in terms of appropriate systems of higher cohomology operations.

Original language	English
Pages (from-to)	69-94
Number of pages	26
Journal	Homology, Homotopy and Applications
Volume	23
Issue number	2
DOIs	https://doi.org/10.4310/hha.2021.v23.n2.a5
State	Published - 2021

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10.4310/hha.2021.v23.n2.a5

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title = "Higher structure in the unstable Adams spectral sequence",

abstract = "We describe a variant construction of the unstable Adams spectral sequence for a space Y, associated to any free simplicial resolution of H∗(Y;R), for R=Fp or Q. We use this construction to describe the differentials and filtration in the spectral sequence in terms of appropriate systems of higher cohomology operations.",

author = "Samik Basu and David Blanc and Debasis Sen",

year = "2021",

doi = "10.4310/hha.2021.v23.n2.a5",

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AU - Sen, Debasis

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AB - We describe a variant construction of the unstable Adams spectral sequence for a space Y, associated to any free simplicial resolution of H∗(Y;R), for R=Fp or Q. We use this construction to describe the differentials and filtration in the spectral sequence in terms of appropriate systems of higher cohomology operations.

U2 - 10.4310/hha.2021.v23.n2.a5

DO - 10.4310/hha.2021.v23.n2.a5

M3 - מאמר

SN - 1532-0073

VL - 23

SP - 69

EP - 94

JO - Homology, Homotopy and Applications

JF - Homology, Homotopy and Applications

IS - 2

ER -

Higher structure in the unstable Adams spectral sequence

Abstract

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