Finite type invariants and Milnor invariants for Brunnian links
Geometric Topology
2010-02-09 v4
Abstract
A link L in the 3-sphere is called Brunnian if every proper sublink of L is trivial. In a previous paper, the first author proved that the restriction to Brunnian links of any Goussarov-Vassiliev finite type invariant of (n+1)-component links of degree<2n is trivial. The purpose of this paper is to study the first nontrivial case. We will show that the restriction of an invariant of degree 2n to (n+1)-component Brunnian links can be expressed as a quadratic form on the Milnor link-homotopy invariants of length n+1.
Keywords
Cite
@article{arxiv.math/0510534,
title = {Finite type invariants and Milnor invariants for Brunnian links},
author = {Kazuo Habiro and Jean-Baptiste Meilhan},
journal= {arXiv preprint arXiv:math/0510534},
year = {2010}
}
Comments
15 pages, 13 figures. A remark added, references updated