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arXiv · 1703.03960

Simplicial James-Hopf map and decompositions of the unstable Adams spectral sequence for suspensions

Fedor Pavutnitskiy·Jie Wu
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Abstract

We use combinatorial group theory methods to extend the definition of a classical James-Hopf invariant to a simplicial group setting. This allow us to realize certain coalgebra idempotents at sSet -level and obtain a functorial decomposition of the spectral sequence, associated with the lower p-central series filtration on the free simplicial group.

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BibTeXRIS

Fedor Pavutnitskiy, Jie Wu. 2017-03-11. Simplicial James-Hopf map and decompositions of the unstable Adams spectral sequence for suspensions. https://doi.org/10.2140/agt.2019.19.77

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