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Article
On the existence of finite type link homotopy invariants
Journal of Knot Theory and Its Ramifications
  • Blake Mellor, Loyola Marymount University
  • Dylan Thurston
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.
Comments

This is a post-print version of the article.

Citation Information
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.