On the Existence of Finite Type Link Homotopy Invariants
Geometric Topology
2007-05-23 v1
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.
Cite
@article{arxiv.math/0010206,
title = {On the Existence of Finite Type Link Homotopy Invariants},
author = {Blake Mellor and Dylan Thurston},
journal= {arXiv preprint arXiv:math/0010206},
year = {2007}
}
Comments
13 pages, 5 figures