1998/12/18 by Blake Mellor
Mathematics · #math.GT #msc:57M25
published as Journal of Knot Theory and Its Ramifications, Vol. 9, No. 6 (2000) 735-758 · 23 pages, many figures
arxiv created 1998/12/18 · arxiv updated 2009/11/30
We define a notion of finite type invariants for links with a fixed linking matrix. We show that Milnor's triple link homotopy invariant is a finite type invariant, of type 1, in this sense. We also generalize the approach to Milnor's higher order homotopy invariants and show that they are also, in a sense, of finite type. Finally, we compare our approach to another approach for defining finite type invariants within linking classes.