Weight Systems for Milnor Invariants

Authors

Blake Mellor, Loyola Marymount UniversityFollow

Document Type

Article - post-print

Publication Date

2008

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.

Comments

This is a post-print version of the article.

Recommended Citation

Mellor, B., 2008: Weight Systems for Milnor Invariants. J. Knot Theory Ramif., 17.2, 213-230, arXiv:math/0501280.