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

Fedor Pavutnitskiy; Jie Wu

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

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arxiv 1703.03960 v1 pith:5K6YUNOJ submitted 2017-03-11 math.AT

Fedor Pavutnitskiy , Jie Wu This is my paper · ORCID

classification math.AT

keywords groupsimplicialjames-hopfsequencespectraladamsallowassociated

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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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