Finite Type Link Homotopy Invariants

Details Finite Type Link Homotopy Invariants Finite Type Link Homotopy Invariants

1998-07-29

arxiv.org/abs/math/9807162v4

Journal of Knot Theory and Its Ramifications, Vol. 8, No. 6 (1999) 773-787

Mathematics

Geometric Topology

15 pages, many figures. Revised to acknowledge work of Bar-Natan, Garoufalides, Rozansky and Thurston. Revised again to clarif

Scientific paper

Bar-Natan used Chinese characters to show that finite type invariants
classify string links up to homotopy. In this paper, I construct the correct
spaces of chord diagrams and Chinese characters for links up to homotopy. I use
these spaces to show that the only rational finite type invariants of link
homotopy are the pairwise linking numbers of the components.

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