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A
simplicial James–Hopf map and decompositions of the unstable
Adams spectral sequence for suspensions
Fedor Pavutnitskiy and Jie Wu |
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Algebraic & Geometric Topology 19 (2019) 77–108
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Abstract |
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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 level and obtain a functorial decomposition of the spectral sequence, associated with the lower –central series filtration on a free simplicial group. |
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Keywords
James–Hopf invariants, Milnor's construction, unstable
Adams spectral sequence, loop space decompositions
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Mathematical Subject Classification 2010
Primary: 55P35
Secondary: 18G30, 55T15
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References |
Publication
Received: 14 March 2017
Revised: 31 July 2018
Accepted: 11 August 2018
Published: 6 February 2019
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Authors |
| Fedor Pavutnitskiy | |
| Department of Mathematics National University of Singapore Singapore |
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| Jie Wu | |
| Department of Mathematics National University of Singapore Singapore |
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| http://www.math.nus.edu.sg/~matwujie | |
