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math.GT1999
Free groups and finite type invariants of pure braids
Jacob Mostovoy, Simon Willerton
Finite type invariants (also known as Vassiliev invariants) of pure braids are considered from a group-theoretic point of view. New results include a construction of a universal in…
math.GT1999
The Kontsevich integral and algebraic structures on the space of diagrams
Simon Willerton
This paper is part expository and part presentation of calculational results. The target space of the Kontsevich integral for knots is a space of diagrams; this space has various a…