Link-homotopy Invariants of Finite Type
arXiv:math/0012095
Abstract
An explicit polynomial in the linking numbers and Milnor's triple linking numbers on six component links is shown to be a well-defined finite type link-homotopy invariant. This solves a problem raised by B. Mellor and D. Thurston. An extension of our construction also produces a finite type link invariant which detects the invertibility for some links.
10 pages