Document Type
Article - post-print
Publication Date
1999
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.
Digital Commons @ LMU & LLS Citation
Mellor, Blake, "Finite Type Link Homotopy Invariants" (1999). Mathematics, Statistics and Data Science Faculty Works. 23.
https://digitalcommons.lmu.edu/math_fac/23
