2000/10/21 by Blake Mellor, Dylan Thurston
Mathematics · #math.GT #msc:57M27
published as Journal of Knot Theory and its Ramifications, vol. 10, no. 7, 2001, pp. 1025-1040 · 13 pages, 5 figures
arxiv created 2000/10/21 · arxiv updated 2009/11/30
We show that for links with at most 5 components, the only finite type homotopy invariants are products of the linking numbers. In contrast, we show that for links with at least 9 components, there must exist finite type homotopy invariants which are not products of the linking numbers. This corrects previous errors of the first author.