On braid groups and homotopy groups

Mathematics – Algebraic Topology

Scientific paper

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This is the version published by Geometry & Topology Monographs on 22 February 2008

Scientific paper

10.2140/gtm.2008.13.169

This article is an exposition of certain connections between the braid
groups, classical homotopy groups of the 2-sphere, as well as Lie algebras
attached to the descending central series of pure braid groups arising as
Vassiliev invariants of pure braids. Natural related questions are posed at the
end of this article.

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