Abstract
The purpose of this article is to describe a connection between the single loop space of the 2-sphere, Artin’s braid groups, a choice of simplicial group whose homotopy groups are given by modules called Lie(n), as well as work of Milnor [17, 18], and Habegger-Lin [11, 15] on “homotopy string links”. The novelty of the current article is a description of connections between these topics.
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Cohen, F.R., Wu, J. (2003). On Braid Groups, Free Groups, and the Loop Space of the 2-Sphere. In: Arone, G., Hubbuck, J., Levi, R., Weiss, M. (eds) Categorical Decomposition Techniques in Algebraic Topology. Progress in Mathematics, vol 215. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7863-0_6
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DOI: https://doi.org/10.1007/978-3-0348-7863-0_6
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