Link-homotopy Invariants of Finite Type
Abstract
An explicit polynomial in the linking numbers lij and Milnor's triple linking numbers μ(rst) 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.
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