Free groups and finite type invariants of pure braids

Details Free groups and finite type invariants of pure braids Free groups and finite type invariants of pure braids

1999-09-14

arxiv.org/abs/math/9909070v1

Mathematics

Geometric Topology

14 pages, many figures

Scientific paper

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 invariant with integer coefficients based on the
Magnus expansion of a free group and a calculation of numbers of independent
invariants of each type for all pure braid groups.

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