Free groups and finite type invariants of pure braids
Geometric Topology
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.math/9909070,
title = {Free groups and finite type invariants of pure braids},
author = {Jacob Mostovoy and Simon Willerton},
journal= {arXiv preprint arXiv:math/9909070},
year = {2007}
}
Comments
14 pages, many figures