Weight Systems for Milnor Invariants
Geometric Topology
2008-03-07 v2 Combinatorics
Abstract
We use Polyak's skein relation to give a new proof that Milnor's string link homotopy invariants are finite type invariants, and to develop a recursive relation for their associated weight systems. We show that the obstruction to the triviality of these weight systems is the presence of a certain kind of spanning tree in the intersection graph of a chord diagram.
Keywords
Cite
@article{arxiv.math/0501280,
title = {Weight Systems for Milnor Invariants},
author = {Blake Mellor},
journal= {arXiv preprint arXiv:math/0501280},
year = {2008}
}
Comments
13 pages, 8 figures. Latest version has minor technical changes