Document Type
Article - post-print
Publication Date
2001
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.
Digital Commons @ LMU & LLS Citation
Mellor, Blake and Thurston, Dylan, "On the existence of finite type link homotopy invariants" (2001). Mathematics, Statistics and Data Science Faculty Works. 27.
https://digitalcommons.lmu.edu/math_fac/27
Comments
This is a post-print version of the article.