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VASSILIEV HOMOTOPY STRING LINK INVARIANTS
1995
Journal of knot theory and its ramifications
We investigate Vassiliev homotopy invariants of string links, and find that in this particular case, most of the questions left unanswered in [3] can be answered affirmatively. In particular, Vassiliev invariants classify string links up to homotopy, and all Vassiliev homotopy string link invariants come from marked surfaces as in [3], using the same construction that in the case of knots gives the HOMFLY and Kauffman polynomials. Alongside, the Milnor µ invariants of string links are shown to
doi:10.1142/s021821659500003x
fatcat:pa7cmyyj7zdupbvl72cdpp3hs4