Abstract
The purpose of this note is to describe some relationships between the following topics: (1) higher dimensional variations of braids, (2) loop space homology, (3) Hopf algebras given by loop space homology, (4) natural groups attached to connected Hopf algebras, (5) analogues of Artin’s (pure) braid group, (6) Alexander’s construction of knots arising from loop spaces, and (7) Vassiliev’s invariants of braids.
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