Links with trivial Alexander module and nontrivial Milnor invariants
Geometric Topology
2009-09-29 v2 Quantum Algebra
Abstract
Minor typographical errors fixed. Cochran constructed many links with Alexander module that of the unlink and some nonvanishing Milnor invariants, using as input commutators in a free group and as an invariant the longitudes of the links. We present a different and conjecturally complete construction, that uses elementary properties of clasper surgery, and a different invariant, the tree-part of the LMO invariant. Our method also constructs links with trivial higher Alexander modules and nontrivial Milnor invariants.
Keywords
Cite
@article{arxiv.math/0206196,
title = {Links with trivial Alexander module and nontrivial Milnor invariants},
author = {Stavros Garoufalidis},
journal= {arXiv preprint arXiv:math/0206196},
year = {2009}
}
Comments
LaTeX, 6 pages with 8 figures