Geodesic
A simplicial James–Hopf map and decompositions of the unstable Adams spectral sequence for suspensions
Pavutnitskiy, Fedor1 ; Wu, Jie1
1 Department of Mathematics, National University of Singapore, Singapore
Algebraic and Geometric Topology, Tome 19 (2019) no. 1, pp. 77-108

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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

DOI : 10.2140/agt.2019.19.77
Classification : 55P35, 18G30, 55T15
Keywords: James–Hopf invariants, Milnor's construction, unstable Adams spectral sequence, loop space decompositions

Pavutnitskiy, Fedor 1 ; Wu, Jie 1

1 Department of Mathematics, National University of Singapore, Singapore 
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Pavutnitskiy, Fedor; Wu, Jie. A simplicial James–Hopf map and decompositions of the unstable Adams spectral sequence for suspensions. Algebraic and Geometric Topology, Tome 19 (2019) no. 1, pp. 77-108. doi: 10.2140/agt.2019.19.77

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