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arXiv · 2606.20248

Configuration spaces and the Arone--Mahowald theorem

Ben Knudsen·Dezhou Li
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Abstract

We take up the study, initiated by Fred Cohen, of the Cartan--Leray spectral sequence for Euclidean configuration spaces, establishing a decomposition as a direct sum of atomic spectral sequences. As an immediate consequence, we recover a difficult theorem of Arone--Mahowald on the vanishing of Goodwillie derivatives of the identity.

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Ben Knudsen, Dezhou Li. 2026-06-18. Configuration spaces and the Arone--Mahowald theorem. https://arxiv.org/abs/2606.20248

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