Finite Type Link Homotopy Invariants
Geometric Topology
2009-09-25 v4
Abstract
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.
Cite
@article{arxiv.math/9807162,
title = {Finite Type Link Homotopy Invariants},
author = {Blake Mellor},
journal= {arXiv preprint arXiv:math/9807162},
year = {2009}
}
Comments
15 pages, many figures. Revised to acknowledge work of Bar-Natan, Garoufalides, Rozansky and Thurston. Revised again to clarify the exposition in section 4