Link-homotopy Invariants of Finite Type

Details Link-homotopy Invariants of Finite Type Link-homotopy Invariants of Finite Type

2000-12-12

arxiv.org/abs/math/0012095v1

Mathematics

Geometric Topology

10 pages

Scientific paper

An explicit polynomial in the linking numbers $l_{ij}$ and Milnor's triple
linking numbers $\mu(rst)$ 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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