Article
On the existence of finite type link homotopy invariants
Journal of Knot Theory and Its Ramifications
Document Type
Article - post-print
Publication Date
1-1-2001
Disciplines
Abstract
We show that for links with at most 5 components, the only finite type homotopy invariants are products of the linking numbers. In contrast, we show that for links with at least 9 components, there must exist finite type homotopy invariants which are not products of the linking numbers. This corrects previous errors of the first author.
Original Publication Citation
Mellor, B. and D. Thurston, 2001: On the existence of finite type link homotopy invariants. J. Knot Theory Ramif., 10.7, 1025-1040, arXiv:math/0010206.
Citation Information
Blake Mellor and Dylan Thurston. "On the existence of finite type link homotopy invariants" Journal of Knot Theory and Its Ramifications (2001) Available at: http://works.bepress.com/blake-mellor/19/
This is a post-print version of the article.