Article
Finite Type Link Homotopy Invariants
Journal of Knot Theory and Its Ramifications
Document Type
Article - post-print
Publication Date
1-1-1999
Disciplines
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.
Original Publication Citation
Mellor, B., 1999: Finite Type Link Homotopy Invariants. J. Knot Theory Ramif., 8.6, 773-787, arXiv:math/9807162.
Publisher Statement
This is a post-print version of the article.
Citation Information
Blake Mellor. "Finite Type Link Homotopy Invariants" Journal of Knot Theory and Its Ramifications (1999) Available at: http://works.bepress.com/blake-mellor/9/