Finite Type Link Homotopy Invariants II: Milnor's $\bar{\mu}$-invariants
Geometric Topology
2007-05-23 v1
Abstract
We define a notion of finite type invariants for links with a fixed linking matrix. We show that Milnor's triple link homotopy invariant is a finite type invariant, of type 1, in this sense. We also generalize the approach to Milnor's higher order homotopy invariants and show that they are also, in a sense, of finite type. Finally, we compare our approach to another approach for defining finite type invariants within linking classes.
Cite
@article{arxiv.math/9812119,
title = {Finite Type Link Homotopy Invariants II: Milnor's $\bar{\mu}$-invariants},
author = {Blake Mellor},
journal= {arXiv preprint arXiv:math/9812119},
year = {2007}
}
Comments
23 pages, many figures