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arXiv · 2507.09636

On injectivity of Cohen-Wu homomorphism

Vasily Ionin
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Abstract

We give a new elementary proof of the theorem that a natural map from Milnor's construction $F[S^1]$ to the simplicial group $\mathrm{AP}$ of pure braids is injective. Our approach is group-theoretic and does not rely on Lie algebras.

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Vasily Ionin. 2025-07-13. On injectivity of Cohen-Wu homomorphism. https://arxiv.org/abs/2507.09636

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