2002/06/19 by Stavros Garoufalidis, Garoufalidis, Stavros
Mathematics · #FOS: Mathematics #Geometric Topology (math.GT) #Quantum Algebra (math.QA) #math.GT #math.QA
paper · pdf · doi:10.48550/arxiv.math/0206196
LaTeX, 6 pages with 8 figures
arxiv created 2002/07/08 · arxiv updated 2009/11/30
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.